
Time bar (total: 10.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 10 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 11 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 540.0ms | 8 256× | 0 | valid |
ival-mult: 161.0ms (54.3% of total)ival-add: 65.0ms (21.9% of total)ival-div: 56.0ms (18.9% of total)ival-true: 7.0ms (2.4% of total)exact: 5.0ms (1.7% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 46 | 0 | - | 2 | (-1.4126461244143547e+34 2.850554702706858e-210 -4.179613461491149e-159) | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 z #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | o/o | 13 | 0 |
| ↳ | (*.f64 x y) | overflow | 34 | |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | overflow | 74 | |
| ↳ | (*.f64 z z) | overflow | 58 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | n/u | 8 | 0 |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | underflow | 61 | |
| ↳ | (*.f64 z z) | underflow | 61 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | n/o | 7 | 0 |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | overflow | 74 | |
| ↳ | (*.f64 z z) | overflow | 58 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | u/n | 7 | 0 |
| ↳ | (*.f64 x y) | underflow | 27 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | u/u | 5 | 0 |
| ↳ | (*.f64 x y) | underflow | 27 | |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | underflow | 61 | |
| ↳ | (*.f64 z z) | underflow | 61 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | o/n | 4 | 0 |
| ↳ | (*.f64 x y) | overflow | 34 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 44 | 2 |
| - | 0 | 210 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 44 | 0 | 2 |
| - | 0 | 0 | 210 |
| number | freq |
|---|---|
| 0 | 212 |
| 1 | 44 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 41.0ms | 512× | 0 | valid |
Compiled 108 to 40 computations (63% saved)
ival-mult: 13.0ms (64.5% of total)ival-div: 3.0ms (14.9% of total)ival-add: 3.0ms (14.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 110 |
| 1 | 149 | 102 |
| 2 | 639 | 101 |
| 3 | 3258 | 99 |
| 4 | 5642 | 99 |
| 0 | 9 | 11 |
| 0 | 14 | 11 |
| 1 | 34 | 11 |
| 2 | 82 | 11 |
| 3 | 180 | 11 |
| 4 | 239 | 11 |
| 5 | 243 | 11 |
| 0 | 243 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(negabs y)
(negabs x)
(sort x y)
Compiled 11 to 9 computations (18.2% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.0% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 z #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 128 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 0 | 14 | 31 |
| 1 | 34 | 31 |
| 2 | 82 | 31 |
| 3 | 180 | 31 |
| 4 | 239 | 31 |
| 5 | 243 | 31 |
| 0 | 243 | 29 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 x y) |
x |
y |
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
(*.f64 z z) |
z |
(+.f64 z #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(*.f64 y x) |
x |
y |
(*.f64 (fma.f64 z z z) z) |
(*.f64 z z) |
z |
(+.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.05859375 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | |
| accuracy | 10.799821279133658 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 17.0ms | 256× | 0 | valid |
Compiled 64 to 20 computations (68.8% saved)
ival-mult: 6.0ms (66.7% of total)ival-div: 1.0ms (11.1% of total)ival-add: 1.0ms (11.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1)))) |
| 1.0ms | y | @ | -inf | ((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1)))) |
| 1.0ms | x | @ | -inf | ((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1)))) |
| 1.0ms | y | @ | 0 | ((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1)))) |
| 1.0ms | z | @ | inf | ((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 683 |
| 1 | 202 | 664 |
| 2 | 577 | 646 |
| 3 | 3491 | 628 |
| 0 | 8398 | 593 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
1 |
(+ 1 z) |
(+ 1 z) |
(+ 1 z) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
z |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
z |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
(* z (+ 1 (/ 1 z))) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
| Outputs |
|---|
(*.f64 z z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) z) |
(+.f64 #s(literal 1 binary64) z) |
(+.f64 #s(literal 1 binary64) z) |
(*.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y)) (*.f64 z z)) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))) (*.f64 z z)) |
(pow.f64 z #s(literal 3 binary64)) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
z |
(+.f64 #s(literal 1 binary64) z) |
(+.f64 #s(literal 1 binary64) z) |
(+.f64 #s(literal 1 binary64) z) |
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) y) |
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 y z) y) x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal -1 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(pow.f64 z #s(literal 3 binary64)) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
z |
(+.f64 #s(literal 1 binary64) z) |
(+.f64 #s(literal 1 binary64) z) |
(+.f64 #s(literal 1 binary64) z) |
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) y) |
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 y z) y) x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal -1 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 0 | 14 | 27 |
| 1 | 55 | 27 |
| 2 | 338 | 27 |
| 3 | 3204 | 27 |
| 0 | 8488 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
(*.f64 x y) |
(*.f64 z z) |
(+.f64 z #s(literal 1 binary64)) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Outputs |
|---|
#<batchref> |
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Compiled 10 600 to 1 521 computations (85.7% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 566 | 11 | 577 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 566 | 12 | 578 |
| Status | Accuracy | Program |
|---|---|---|
| 92.8% | (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) | |
| 91.5% | (/.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x)) | |
| ▶ | 93.5% | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
| ▶ | 83.0% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
| ▶ | 90.7% | (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) |
| 93.1% | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) | |
| ✓ | 83.0% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ▶ | 68.6% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| 91.0% | (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) | |
| ▶ | 86.0% | (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
| 84.7% | (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) | |
| 72.0% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
Compiled 279 to 205 computations (26.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 z z z) x) | |
| cost-diff | 0 | (*.f64 z (/.f64 (fma.f64 z z z) x)) | |
| cost-diff | 0 | (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) | |
| cost-diff | 320 | (*.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (fma.f64 z z z)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 256 | (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) | |
| cost-diff | -384 | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) | |
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (*.f64 (fma.f64 z z z) z) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 162 |
| 0 | 46 | 156 |
| 1 | 108 | 154 |
| 2 | 277 | 154 |
| 3 | 963 | 154 |
| 4 | 2958 | 154 |
| 5 | 4279 | 154 |
| 6 | 5240 | 154 |
| 7 | 5692 | 154 |
| 8 | 6082 | 154 |
| 9 | 6284 | 154 |
| 10 | 6295 | 154 |
| 11 | 6867 | 154 |
| 12 | 7163 | 154 |
| 13 | 7189 | 154 |
| 14 | 7225 | 154 |
| 15 | 7337 | 154 |
| 16 | 7504 | 154 |
| 17 | 7508 | 154 |
| 18 | 7508 | 154 |
| 19 | 7764 | 154 |
| 20 | 8000 | 154 |
| 0 | 8504 | 154 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(fma.f64 z z z) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 x y) |
x |
y |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(*.f64 y x) |
y |
x |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(neg.f64 y) |
y |
(/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) |
x |
(*.f64 (neg.f64 z) (fma.f64 z z z)) |
(neg.f64 z) |
z |
(fma.f64 z z z) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) |
(*.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(*.f64 z (/.f64 (fma.f64 z z z) x)) |
z |
(/.f64 (fma.f64 z z z) x) |
(fma.f64 z z z) |
x |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(*.f64 y (/.f64 x z)) |
(/.f64 x z) |
x |
z |
y |
(fma.f64 z z z) |
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 y x) |
x |
y |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(*.f64 y x) |
y |
x |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(neg.f64 y) |
y |
(/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) z)) (*.f64 z z)) |
x |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(neg.f64 z) |
z |
(fma.f64 z z z) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
y |
y |
#s(literal 1 binary64) |
(*.f64 (/.f64 (fma.f64 z z z) x) z) |
z |
(/.f64 (fma.f64 z z z) x) |
(fma.f64 z z z) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.1171875 | (*.f64 z (/.f64 (fma.f64 z z z) x)) | |
| accuracy | 1.4146557725614883 | (/.f64 (fma.f64 z z z) x) | |
| accuracy | 5.6570562516522 | (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0546875 | (*.f64 (neg.f64 z) (fma.f64 z z z)) | |
| accuracy | 4.871221148955138 | (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) | |
| accuracy | 6.924716508060705 | (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) | |
| accuracy | 0 | (fma.f64 z z z) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.0546875 | (*.f64 (fma.f64 z z z) z) | |
| accuracy | 10.799821279133658 | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 10.799821279133658 | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| accuracy | 22.12849532182645 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| accuracy | 0 | (fma.f64 z z z) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 3.936706672589213 | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) | |
| accuracy | 4.779334044854471 | (*.f64 (/.f64 x z) y) |
| 105.0ms | 256× | 0 | valid |
Compiled 331 to 55 computations (83.4% saved)
ival-mult: 14.0ms (47.5% of total)ival-div: 11.0ms (37.3% of total)ival-add: 2.0ms (6.8% of total)ival-neg: 2.0ms (6.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 z z z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 z z z) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (neg.f64 z) (fma.f64 z z z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 z (/.f64 (fma.f64 z z z) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (fma.f64 z z z) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 z z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 z z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 z z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 z z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 z z z) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 z z z) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 z z z) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 z z z) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) (fma.f64 z z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (/.f64 (fma.f64 z z z) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (/.f64 (fma.f64 z z z) x)) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 z z z) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | y | @ | inf | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (/ x (* (neg z) (+ (* z z) z)))) |
| 7.0ms | x | @ | -inf | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (/ x (* (neg z) (+ (* z z) z)))) |
| 6.0ms | x | @ | inf | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (/ x (* (neg z) (+ (* z z) z)))) |
| 4.0ms | z | @ | 0 | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (/ x (* (neg z) (+ (* z z) z)))) |
| 3.0ms | x | @ | 0 | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (/ x (* (neg z) (+ (* z z) z)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 3867 |
| 1 | 441 | 3757 |
| 2 | 1181 | 3548 |
| 3 | 4269 | 3463 |
| 0 | 8118 | 3252 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
z |
(* z (+ 1 z)) |
(* z (+ 1 z)) |
(* z (+ 1 z)) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* -1 z) 1)) |
(* (pow z 2) (- (* -1 z) 1)) |
(* (pow z 2) (- (* -1 z) 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ (pow z 2) x) |
(* (pow z 2) (+ (/ 1 x) (/ z x))) |
(* (pow z 2) (+ (/ 1 x) (/ z x))) |
(* (pow z 2) (+ (/ 1 x) (/ z x))) |
(/ z x) |
(* z (+ (/ 1 x) (/ z x))) |
(* z (+ (/ 1 x) (/ z x))) |
(* z (+ (/ 1 x) (/ z x))) |
(* -1 (/ x (pow z 2))) |
(/ (+ (* -1 x) (* x z)) (pow z 2)) |
(/ (+ (* -1 x) (* z (+ x (* -1 (* x z))))) (pow z 2)) |
(/ (+ (* -1 x) (* z (+ x (* z (+ (* -1 x) (* x z)))))) (pow z 2)) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(* -1 (pow z 3)) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ (pow z 3) x) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(/ (pow z 2) x) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(* -1 (/ x (pow z 3))) |
(/ (+ (* -1 x) (/ x z)) (pow z 3)) |
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (+ (/ x z) (/ x (pow z 3))))) (pow z 3)) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(* -1 (pow z 3)) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/ (pow z 3) x) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(/ (pow z 2) x) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z)))) |
(* -1 (/ x (pow z 3))) |
(* -1 (/ (+ x (* -1 (/ x z))) (pow z 3))) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 3))) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 3))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
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(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
y |
y |
y |
y |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
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(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
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(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
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(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
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(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
y |
y |
y |
y |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
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(/ (* x y) z) |
(/ (* x y) z) |
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(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
y |
y |
y |
y |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
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(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
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(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
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(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
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(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
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(/ (* z (+ z (pow z 2))) x) |
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(* -1 (/ x (* z (+ z (pow z 2))))) |
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(/ (* x y) z) |
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(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (+ z (pow z 2)) x) |
(/ (+ z (pow z 2)) x) |
(/ (+ z (pow z 2)) x) |
(/ (+ z (pow z 2)) x) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (+ z (pow z 2)) x) |
(/ (+ z (pow z 2)) x) |
(/ (+ z (pow z 2)) x) |
(/ (+ z (pow z 2)) x) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 y z) z) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 y z (neg.f64 y)) z y)) (*.f64 z z)) |
(/.f64 (*.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal -1 binary64))) (*.f64 z z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
z |
(fma.f64 z z z) |
(fma.f64 z z z) |
(fma.f64 z z z) |
(*.f64 (/.f64 (/.f64 y z) z) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 y z (neg.f64 y)) z y)) (*.f64 z z)) |
(/.f64 (*.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal -1 binary64))) (*.f64 z z)) |
(*.f64 z z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (/.f64 (/.f64 y z) z) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 y z (neg.f64 y)) z y)) (*.f64 z z)) |
(/.f64 (*.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal -1 binary64))) (*.f64 z z)) |
(*.f64 (/.f64 (/.f64 y z) z) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 y z (neg.f64 y)) z y)) (*.f64 z z)) |
(/.f64 (*.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal -1 binary64))) (*.f64 z z)) |
(*.f64 (neg.f64 z) z) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(*.f64 (/.f64 (/.f64 y z) z) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z)) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 y z (neg.f64 y)) z y)) (*.f64 z z)) |
(/.f64 (*.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal -1 binary64))) (*.f64 z z)) |
(*.f64 (/.f64 z x) z) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 z x) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/.f64 (/.f64 (fma.f64 z x (neg.f64 x)) z) z) |
(/.f64 (*.f64 x (-.f64 z (fma.f64 z z #s(literal 1 binary64)))) (*.f64 z z)) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 z x (neg.f64 x))) (*.f64 z z)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 x z) x) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(*.f64 z z) |
(fma.f64 z z z) |
(fma.f64 z z z) |
(fma.f64 z z z) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 x z) x) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(pow.f64 z #s(literal 3 binary64)) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
(pow.f64 z #s(literal 3 binary64)) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 x z) x) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 x z) x) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(neg.f64 (pow.f64 z #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 x z) x) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (pow.f64 z #s(literal 3 binary64)) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(*.f64 (/.f64 z x) z) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (neg.f64 x) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (-.f64 (/.f64 x z) x) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x z)) z) x) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z) x) (pow.f64 z #s(literal 3 binary64))) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 x z) x) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(*.f64 z z) |
(fma.f64 z z z) |
(fma.f64 z z z) |
(fma.f64 z z z) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 x z) x) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(pow.f64 z #s(literal 3 binary64)) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
(pow.f64 z #s(literal 3 binary64)) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 x z) x) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 x z) x) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(neg.f64 (pow.f64 z #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z))) |
(/.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 x z) x) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (pow.f64 z #s(literal 3 binary64)) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(*.f64 (/.f64 z x) z) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (neg.f64 x) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (-.f64 (/.f64 x z) x) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x z)) z) x) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z) x) (pow.f64 z #s(literal 3 binary64))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
y |
y |
y |
y |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
y |
y |
y |
y |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
y |
y |
y |
y |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 134 |
| 0 | 46 | 128 |
| 1 | 180 | 126 |
| 2 | 999 | 126 |
| 0 | 8609 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
(fma.f64 z z z) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 x y) |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
(*.f64 y x) |
(*.f64 (fma.f64 z z z) z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(neg.f64 y) |
(*.f64 (neg.f64 z) (fma.f64 z z z)) |
(neg.f64 z) |
(*.f64 y #s(literal 1 binary64)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) |
(*.f64 z (/.f64 (fma.f64 z z z) x)) |
(/.f64 (fma.f64 z z z) x) |
(/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))) |
| Outputs |
|---|
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Compiled 55 511 to 4 783 computations (91.4% saved)
19 alts after pruning (16 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 893 | 13 | 2 906 |
| Fresh | 3 | 3 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 899 | 19 | 2 918 |
| Status | Accuracy | Program |
|---|---|---|
| 92.8% | (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) | |
| ▶ | 94.4% | (/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x)) |
| ▶ | 93.1% | (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
| 59.5% | (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) | |
| ✓ | 83.0% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
| 55.4% | (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) | |
| 54.9% | (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (*.f64 (/.f64 z x) z)))) | |
| ✓ | 83.0% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ✓ | 68.6% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| 90.7% | (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) | |
| 68.8% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) | |
| 68.4% | (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) | |
| 54.0% | (*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) | |
| 86.0% | (*.f64 (neg.f64 y) (/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))))) | |
| ▶ | 78.0% | (*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
| 84.7% | (*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) | |
| ▶ | 68.8% | (*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))) |
| ▶ | 74.3% | (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
| 72.0% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
Compiled 526 to 379 computations (27.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (/.f64 y (fma.f64 z z z)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (fma.f64 z z z)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) | |
| cost-diff | 0 | (/.f64 (/.f64 (neg.f64 x) z) z) | |
| cost-diff | 0 | #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 192 | (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) | |
| cost-diff | 256 | (*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| cost-diff | 0 | (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| cost-diff | 0 | (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) | |
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (/.f64 y (fma.f64 z z z)) | |
| cost-diff | 384 | (/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 220 |
| 0 | 48 | 217 |
| 1 | 103 | 209 |
| 2 | 241 | 209 |
| 3 | 571 | 209 |
| 4 | 977 | 209 |
| 5 | 1960 | 209 |
| 6 | 3670 | 209 |
| 7 | 5540 | 209 |
| 8 | 6186 | 209 |
| 9 | 6201 | 209 |
| 10 | 6211 | 209 |
| 11 | 6231 | 209 |
| 12 | 6448 | 209 |
| 13 | 6700 | 209 |
| 14 | 7106 | 209 |
| 15 | 7106 | 209 |
| 16 | 7126 | 209 |
| 17 | 7222 | 209 |
| 18 | 7342 | 209 |
| 19 | 7346 | 209 |
| 20 | 7346 | 209 |
| 21 | 7954 | 209 |
| 0 | 8004 | 209 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x)) |
(/.f64 y (fma.f64 z z z)) |
y |
(fma.f64 z z z) |
z |
(/.f64 z x) |
x |
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
y |
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
x |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
(*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))) |
(neg.f64 x) |
x |
(*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
y |
(/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
#s(literal -1 binary64) |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(neg.f64 y) |
y |
#s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
z |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/.f64 y (fma.f64 z z z)) |
y |
(fma.f64 z z z) |
z |
x |
| Outputs |
|---|
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 y (fma.f64 z z z)) |
y |
(fma.f64 z z z) |
z |
(/.f64 z x) |
x |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
y |
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
x |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(neg.f64 x) |
x |
(/.f64 (neg.f64 y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
y |
(/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
#s(literal -1 binary64) |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
(*.f64 #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
z |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(*.f64 x (/.f64 y (fma.f64 z z z))) |
(/.f64 y (fma.f64 z z z)) |
y |
(fma.f64 z z z) |
z |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 z z z) | |
| accuracy | 1.1263958978540527 | (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) | |
| accuracy | 6.177462027315698 | (/.f64 y (fma.f64 z z z)) | |
| accuracy | 6.206691428014509 | (*.f64 (/.f64 y (fma.f64 z z z)) x) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.1015625 | (/.f64 (/.f64 (neg.f64 x) z) z) | |
| accuracy | 4.871221148955138 | (*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) | |
| accuracy | 11.535991561332938 | #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) | |
| accuracy | 0.5905279736973577 | (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| accuracy | 3.84981751129891 | (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) | |
| accuracy | 6.419708561626098 | (*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))) | |
| accuracy | 22.12849532182645 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 4.871221148955138 | (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) | |
| accuracy | 6.924716508060705 | (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| accuracy | 22.12849532182645 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| accuracy | 0 | (fma.f64 z z z) | |
| accuracy | 0 | (/.f64 z x) | |
| accuracy | 1.757892464846438 | (/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x)) | |
| accuracy | 6.177462027315698 | (/.f64 y (fma.f64 z z z)) |
| 73.0ms | 256× | 0 | valid |
Compiled 411 to 60 computations (85.4% saved)
ival-div: 14.0ms (35.3% of total)ival-mult: 12.0ms (30.3% of total)ival-neg: 11.0ms (27.7% of total)ival-add: 2.0ms (5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 y (fma.f64 z z z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 z z z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 z x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (/.f64 (neg.f64 x) z) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 y (fma.f64 z z z)) x) #<representation binary64>) () ()) |
| Outputs |
|---|
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 94.0ms | x | @ | 0 | ((/ (/ y (+ (* z z) z)) (/ z x)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ z x) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (neg x) (* y (/ -1 (* (* z z) (+ z 1))))) (* y (/ -1 (* (* z z) (+ z 1)))) (neg x) (/ -1 (* (* z z) (+ z 1))) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x)) |
| 12.0ms | z | @ | 0 | ((/ (/ y (+ (* z z) z)) (/ z x)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ z x) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (neg x) (* y (/ -1 (* (* z z) (+ z 1))))) (* y (/ -1 (* (* z z) (+ z 1)))) (neg x) (/ -1 (* (* z z) (+ z 1))) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x)) |
| 4.0ms | x | @ | -inf | ((/ (/ y (+ (* z z) z)) (/ z x)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ z x) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (neg x) (* y (/ -1 (* (* z z) (+ z 1))))) (* y (/ -1 (* (* z z) (+ z 1)))) (neg x) (/ -1 (* (* z z) (+ z 1))) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x)) |
| 3.0ms | y | @ | -inf | ((/ (/ y (+ (* z z) z)) (/ z x)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ z x) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (neg x) (* y (/ -1 (* (* z z) (+ z 1))))) (* y (/ -1 (* (* z z) (+ z 1)))) (neg x) (/ -1 (* (* z z) (+ z 1))) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x)) |
| 3.0ms | x | @ | inf | ((/ (/ y (+ (* z z) z)) (/ z x)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ z x) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (neg x) (* y (/ -1 (* (* z z) (+ z 1))))) (* y (/ -1 (* (* z z) (+ z 1)))) (neg x) (/ -1 (* (* z z) (+ z 1))) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 281 | 4392 |
| 1 | 829 | 4143 |
| 2 | 2187 | 3999 |
| 3 | 6582 | 3964 |
| 0 | 8338 | 3741 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ y z) |
(/ (+ y (* -1 (* y z))) z) |
(/ (+ y (* z (- (* y z) y))) z) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z) |
z |
(* z (+ 1 z)) |
(* z (+ 1 z)) |
(* z (+ 1 z)) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ x (pow z 2)) |
(/ (+ x (* -1 (* x z))) (pow z 2)) |
(/ (+ x (* z (- (* x z) x))) (pow z 2)) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(* -1 (/ y (pow z 2))) |
(/ (+ (* -1 y) (* y z)) (pow z 2)) |
(/ (+ (* -1 y) (* z (+ y (* -1 (* y z))))) (pow z 2)) |
(/ (+ (* -1 y) (* z (+ y (* z (+ (* -1 y) (* y z)))))) (pow z 2)) |
(/ -1 (pow z 2)) |
(/ (- z 1) (pow z 2)) |
(/ (- (* z (+ 1 (* -1 z))) 1) (pow z 2)) |
(/ (- (* z (+ 1 (* z (- z 1)))) 1) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(* -1 (/ x (pow z 2))) |
(/ (+ (* -1 x) (* x z)) (pow z 2)) |
(/ (+ (* -1 x) (* z (+ x (* -1 (* x z))))) (pow z 2)) |
(/ (+ (* -1 x) (* z (+ x (* z (+ (* -1 x) (* x z)))))) (pow z 2)) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ (* x y) z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) z) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ y (pow z 2)) |
(/ (+ y (* -1 (/ y z))) (pow z 2)) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2)) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ x (pow z 3)) |
(/ (+ x (* -1 (/ x z))) (pow z 3)) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3)) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(* -1 (/ y (pow z 3))) |
(/ (+ (* -1 y) (/ y z)) (pow z 3)) |
(/ (+ (* -1 y) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3)) |
(/ (+ (* -1 y) (+ (* -1 (/ y (pow z 2))) (+ (/ y z) (/ y (pow z 3))))) (pow z 3)) |
(/ -1 (pow z 3)) |
(/ (- (/ 1 z) 1) (pow z 3)) |
(/ (- (/ 1 z) (+ 1 (/ 1 (pow z 2)))) (pow z 3)) |
(/ (- (+ (/ 1 z) (/ 1 (pow z 3))) (+ 1 (/ 1 (pow z 2)))) (pow z 3)) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(* -1 (/ x (pow z 3))) |
(/ (+ (* -1 x) (/ x z)) (pow z 3)) |
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (+ (/ x z) (/ x (pow z 3))))) (pow z 3)) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2)) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/ y (pow z 2)) |
(/ (+ y (* -1 (/ y z))) (pow z 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(/ x (pow z 3)) |
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3))) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(* -1 (/ y (pow z 3))) |
(* -1 (/ (+ y (* -1 (/ y z))) (pow z 3))) |
(* -1 (/ (+ y (* -1 (/ (+ y (* -1 (/ y z))) z))) (pow z 3))) |
(* -1 (/ (+ y (* -1 (/ (+ y (* -1 (/ (+ y (* -1 (/ y z))) z))) z))) (pow z 3))) |
(/ -1 (pow z 3)) |
(* -1 (/ (- 1 (/ 1 z)) (pow z 3))) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 z)) z))) (pow z 3))) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 z)) z))) z))) (pow z 3))) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(* -1 (/ x (pow z 3))) |
(* -1 (/ (+ x (* -1 (/ x z))) (pow z 3))) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 3))) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 3))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2)) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* -1 (/ y (* (pow z 2) (+ 1 z)))) |
(* -1 (/ y (* (pow z 2) (+ 1 z)))) |
(* -1 (/ y (* (pow z 2) (+ 1 z)))) |
(* -1 (/ y (* (pow z 2) (+ 1 z)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* -1 (/ y (* (pow z 2) (+ 1 z)))) |
(* -1 (/ y (* (pow z 2) (+ 1 z)))) |
(* -1 (/ y (* (pow z 2) (+ 1 z)))) |
(* -1 (/ y (* (pow z 2) (+ 1 z)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* -1 (/ y (* (pow z 2) (+ 1 z)))) |
(* -1 (/ y (* (pow z 2) (+ 1 z)))) |
(* -1 (/ y (* (pow z 2) (+ 1 z)))) |
(* -1 (/ y (* (pow z 2) (+ 1 z)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(* -1 (/ x (pow z 2))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (+ z (pow z 2))) |
| Outputs |
|---|
(*.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y))) z (*.f64 x y)) (*.f64 z z)) |
(/.f64 y z) |
(-.f64 (/.f64 y z) y) |
(/.f64 (fma.f64 (-.f64 (*.f64 z y) y) z y) z) |
(/.f64 (fma.f64 (fma.f64 (-.f64 y (*.f64 z y)) z (neg.f64 y)) z y) z) |
z |
(fma.f64 z z z) |
(fma.f64 z z z) |
(fma.f64 z z z) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(*.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y))) z (*.f64 x y)) (*.f64 z z)) |
(/.f64 x (*.f64 z z)) |
(/.f64 (-.f64 (/.f64 x z) x) z) |
(/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) z x) z) z) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 x (*.f64 x z)) z (neg.f64 x)) z x) z) z) |
(*.f64 z z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y))) z (*.f64 x y)) (*.f64 z z)) |
(/.f64 (/.f64 (neg.f64 y) z) z) |
(/.f64 (-.f64 y (/.f64 y z)) z) |
(/.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 z y)) z (neg.f64 y)) z) z) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (*.f64 z y) y)) (*.f64 z z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z z)) |
(/.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) z) z) |
(-.f64 (/.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) z) z) #s(literal 1 binary64)) |
(/.f64 (-.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) z) |
(*.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z)) |
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(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 174 |
| 0 | 48 | 171 |
| 1 | 176 | 164 |
| 2 | 1093 | 164 |
| 0 | 9113 | 164 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x)) |
(/.f64 y (fma.f64 z z z)) |
(fma.f64 z z z) |
(/.f64 z x) |
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
(*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))) |
(*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(neg.f64 y) |
#s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
| Outputs |
|---|
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Compiled 37 929 to 3 229 computations (91.5% saved)
19 alts after pruning (14 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 890 | 9 | 1 899 |
| Fresh | 6 | 5 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 899 | 19 | 1 918 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 93.1% | (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
| 61.3% | (/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) | |
| 59.5% | (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) | |
| 64.2% | (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z) | |
| 70.4% | (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) | |
| ✓ | 83.0% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
| 55.4% | (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) | |
| 54.9% | (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (*.f64 (/.f64 z x) z)))) | |
| ✓ | 83.0% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ✓ | 68.6% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| 72.4% | (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 z x)) | |
| 61.2% | (/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 y (-.f64 (/.f64 x z) x))) z) | |
| ▶ | 85.4% | (/.f64 y (/.f64 (*.f64 (fma.f64 z z z) z) x)) |
| ▶ | 84.7% | (*.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) (neg.f64 x)) |
| ▶ | 68.8% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
| ▶ | 86.0% | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
| ▶ | 86.0% | (*.f64 (neg.f64 y) (/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))))) |
| ✓ | 74.3% | (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
| 72.0% | #s(approx (/ (/ y (+ (* z z) z)) (/ z x)) (*.f64 (/.f64 x z) (/.f64 y z))) |
Compiled 495 to 339 computations (31.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (*.f64 (fma.f64 z z z) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 z z z) z) x) | |
| cost-diff | 384 | (/.f64 y (/.f64 (*.f64 (fma.f64 z z z) z) x)) | |
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (*.f64 (fma.f64 z z z) z) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 1024 | (*.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (*.f64 (fma.f64 z z z) z) | |
| cost-diff | 0 | (/.f64 x (*.f64 (fma.f64 z z z) z)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| cost-diff | 0 | (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| cost-diff | 0 | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) | |
| cost-diff | 0 | #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))) | |
| cost-diff | 0 | (/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) (/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 216 |
| 0 | 48 | 214 |
| 1 | 107 | 211 |
| 2 | 263 | 211 |
| 3 | 788 | 211 |
| 4 | 2640 | 211 |
| 5 | 4260 | 211 |
| 6 | 5020 | 211 |
| 7 | 5222 | 211 |
| 8 | 5316 | 211 |
| 9 | 5336 | 211 |
| 10 | 5389 | 211 |
| 11 | 6177 | 211 |
| 12 | 6907 | 211 |
| 13 | 6941 | 211 |
| 14 | 6949 | 211 |
| 15 | 6951 | 211 |
| 16 | 6951 | 211 |
| 17 | 6951 | 211 |
| 18 | 7401 | 211 |
| 19 | 7606 | 211 |
| 20 | 7762 | 211 |
| 21 | 7794 | 211 |
| 22 | 7802 | 211 |
| 23 | 7810 | 211 |
| 24 | 7916 | 211 |
| 0 | 8460 | 211 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 y) (/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))))) |
(neg.f64 y) |
y |
(/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))) |
x |
#s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(-.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 z z) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
y |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
x |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
x |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
y |
(*.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) (neg.f64 x)) |
(/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) |
(neg.f64 y) |
y |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
(neg.f64 x) |
x |
(/.f64 y (/.f64 (*.f64 (fma.f64 z z z) z) x)) |
y |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
x |
| Outputs |
|---|
(/.f64 (*.f64 (neg.f64 x) y) #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) z))) |
(neg.f64 y) |
y |
(/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) z))) |
x |
#s(approx (* (neg z) (+ (* z z) z)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) z)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) z) |
(-.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 z z) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
y |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
x |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
x |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
y |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/.f64 (/.f64 (/.f64 y z) z) (-.f64 #s(literal -1 binary64) z)) |
(neg.f64 y) |
y |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
(neg.f64 x) |
x |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
y |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 z z z) | |
| accuracy | 0.0546875 | (*.f64 (fma.f64 z z z) z) | |
| accuracy | 5.6570562516522 | (/.f64 y (/.f64 (*.f64 (fma.f64 z z z) z) x)) | |
| accuracy | 6.964630001208703 | (/.f64 (*.f64 (fma.f64 z z z) z) x) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.0546875 | (*.f64 (fma.f64 z z z) z) | |
| accuracy | 4.387796251159633 | (/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) | |
| accuracy | 6.419708561626098 | (*.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) (neg.f64 x)) | |
| accuracy | 0 | (fma.f64 z z z) | |
| accuracy | 0.0546875 | (*.f64 (fma.f64 z z z) z) | |
| accuracy | 4.871221148955138 | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) | |
| accuracy | 6.924716508060705 | (/.f64 x (*.f64 (fma.f64 z z z) z)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 4.387796251159633 | (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| accuracy | 6.419708561626098 | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) | |
| accuracy | 22.12849532182645 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| accuracy | 0 | #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))) | |
| accuracy | 0.05859375 | (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) | |
| accuracy | 4.871221148955138 | (*.f64 (neg.f64 y) (/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))))) | |
| accuracy | 6.924716508060705 | (/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))) |
| 172.0ms | 256× | 0 | valid |
Compiled 416 to 58 computations (86.1% saved)
ival-mult: 98.0ms (63.1% of total)ival-div: 44.0ms (28.3% of total)ival-neg: 8.0ms (5.1% of total)ival-add: 4.0ms (2.6% of total)ival-sub: 1.0ms (0.6% 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 (neg.f64 y) (/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 x (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 z z z) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 z z z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 y (/.f64 (*.f64 (fma.f64 z z z) z) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 (fma.f64 z z z) z) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | y | @ | -inf | ((* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (* (neg z) (+ (* z z) z)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ (neg y) (* (+ (* z z) z) z)) (neg x)) (/ y (/ (* (+ (* z z) z) z) x)) (/ (* (+ (* z z) z) z) x) (* (- -1 z) (* z z)) (/ (neg y) (* (+ (* z z) z) z)) (neg x)) |
| 3.0ms | x | @ | -inf | ((* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (* (neg z) (+ (* z z) z)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ (neg y) (* (+ (* z z) z) z)) (neg x)) (/ y (/ (* (+ (* z z) z) z) x)) (/ (* (+ (* z z) z) z) x) (* (- -1 z) (* z z)) (/ (neg y) (* (+ (* z z) z) z)) (neg x)) |
| 2.0ms | y | @ | inf | ((* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (* (neg z) (+ (* z z) z)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ (neg y) (* (+ (* z z) z) z)) (neg x)) (/ y (/ (* (+ (* z z) z) z) x)) (/ (* (+ (* z z) z) z) x) (* (- -1 z) (* z z)) (/ (neg y) (* (+ (* z z) z) z)) (neg x)) |
| 2.0ms | x | @ | inf | ((* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (* (neg z) (+ (* z z) z)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ (neg y) (* (+ (* z z) z) z)) (neg x)) (/ y (/ (* (+ (* z z) z) z) x)) (/ (* (+ (* z z) z) z) x) (* (- -1 z) (* z z)) (/ (neg y) (* (+ (* z z) z) z)) (neg x)) |
| 2.0ms | z | @ | -inf | ((* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (* (neg z) (+ (* z z) z)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ (neg y) (* (+ (* z z) z) z)) (neg x)) (/ y (/ (* (+ (* z z) z) z) x)) (/ (* (+ (* z z) z) z) x) (* (- -1 z) (* z z)) (/ (neg y) (* (+ (* z z) z) z)) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 243 | 4139 |
| 1 | 737 | 3990 |
| 2 | 2024 | 3736 |
| 3 | 6253 | 3731 |
| 0 | 8205 | 3508 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(* -1 (/ x (pow z 2))) |
(/ (+ (* -1 x) (* x z)) (pow z 2)) |
(/ (+ (* -1 x) (* z (+ x (* -1 (* x z))))) (pow z 2)) |
(/ (+ (* -1 x) (* z (+ x (* z (+ (* -1 x) (* x z)))))) (pow z 2)) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* -1 z) 1)) |
(* (pow z 2) (- (* -1 z) 1)) |
(* (pow z 2) (- (* -1 z) 1)) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ y (pow z 2)) |
(/ (+ y (* -1 (* y z))) (pow z 2)) |
(/ (+ y (* z (- (* y z) y))) (pow z 2)) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ x (pow z 2)) |
(/ (+ x (* -1 (* x z))) (pow z 2)) |
(/ (+ x (* z (- (* x z) x))) (pow z 2)) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
(* (pow z 2) (+ 1 z)) |
z |
(* z (+ 1 z)) |
(* z (+ 1 z)) |
(* z (+ 1 z)) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ (pow z 2) x) |
(* (pow z 2) (+ (/ 1 x) (/ z x))) |
(* (pow z 2) (+ (/ 1 x) (/ z x))) |
(* (pow z 2) (+ (/ 1 x) (/ z x))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* -1 z) 1)) |
(* (pow z 2) (- (* -1 z) 1)) |
(* (pow z 2) (- (* -1 z) 1)) |
(* -1 (/ y (pow z 2))) |
(/ (+ (* -1 y) (* y z)) (pow z 2)) |
(/ (+ (* -1 y) (* z (+ y (* -1 (* y z))))) (pow z 2)) |
(/ (+ (* -1 y) (* z (+ y (* z (+ (* -1 y) (* y z)))))) (pow z 2)) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(* -1 (/ x (pow z 3))) |
(/ (+ (* -1 x) (/ x z)) (pow z 3)) |
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (+ (/ x z) (/ x (pow z 3))))) (pow z 3)) |
(* -1 (pow z 3)) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ y (pow z 3)) |
(/ (+ y (* -1 (/ y z))) (pow z 3)) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3)) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ x (pow z 3)) |
(/ (+ x (* -1 (/ x z))) (pow z 3)) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3)) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ (pow z 3) x) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(* -1 (pow z 3)) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 (/ y (pow z 3))) |
(/ (+ (* -1 y) (/ y z)) (pow z 3)) |
(/ (+ (* -1 y) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3)) |
(/ (+ (* -1 y) (+ (* -1 (/ y (pow z 2))) (+ (/ y z) (/ y (pow z 3))))) (pow z 3)) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(* -1 (/ x (pow z 3))) |
(* -1 (/ (+ x (* -1 (/ x z))) (pow z 3))) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 3))) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 3))) |
(* -1 (pow z 3)) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(/ y (pow z 3)) |
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) (pow z 3))) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/ x (pow z 3)) |
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3))) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/ (* x y) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/ (pow z 3) x) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z)))) |
(* -1 (pow z 3)) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 (* (pow z 3) (+ 1 (/ 1 z)))) |
(* -1 (/ y (pow z 3))) |
(* -1 (/ (+ y (* -1 (/ y z))) (pow z 3))) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 3))) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 3))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ y (* (pow z 2) (+ 1 z))) |
(/ y (* (pow z 2) (+ 1 z))) |
(/ y (* (pow z 2) (+ 1 z))) |
(/ y (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ y (* (pow z 2) (+ 1 z))) |
(/ y (* (pow z 2) (+ 1 z))) |
(/ y (* (pow z 2) (+ 1 z))) |
(/ y (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ y (* (pow z 2) (+ 1 z))) |
(/ y (* (pow z 2) (+ 1 z))) |
(/ y (* (pow z 2) (+ 1 z))) |
(/ y (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(* -1 (/ y (* z (+ z (pow z 2))))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ x (* z (+ z (pow z 2)))) |
(/ x (* z (+ z (pow z 2)))) |
(/ x (* z (+ z (pow z 2)))) |
(/ x (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ x (* z (+ z (pow z 2)))) |
(/ x (* z (+ z (pow z 2)))) |
(/ x (* z (+ z (pow z 2)))) |
(/ x (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(* -1 (/ x (* z (+ z (pow z 2))))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ x (* z (+ z (pow z 2)))) |
(/ x (* z (+ z (pow z 2)))) |
(/ x (* z (+ z (pow z 2)))) |
(/ x (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(/ (* z (+ z (pow z 2))) x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(*.f64 (/.f64 y z) (/.f64 x z)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) y y) x) (*.f64 z z)) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y))) z (*.f64 x y)) (*.f64 z z)) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(/.f64 (/.f64 (fma.f64 z x (neg.f64 x)) z) z) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z) z) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 z x (neg.f64 x))) (*.f64 z z)) |
(*.f64 (neg.f64 z) z) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) y y) x) (*.f64 z z)) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y))) z (*.f64 x y)) (*.f64 z z)) |
(/.f64 y (*.f64 z z)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 z) y y) z) z) |
(/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 z y) y) z y) z) z) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 z) y y) z (neg.f64 y)) z y) z) z) |
(*.f64 z z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) y y) x) (*.f64 z z)) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y))) z (*.f64 x y)) (*.f64 z z)) |
(/.f64 x (*.f64 z z)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) z x) z) z) |
(/.f64 (/.f64 (fma.f64 (fma.f64 z x (neg.f64 x)) z x) z) z) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z x) z) z) |
(*.f64 z z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
z |
(fma.f64 z z z) |
(fma.f64 z z z) |
(fma.f64 z z z) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) y y) x) (*.f64 z z)) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y))) z (*.f64 x y)) (*.f64 z z)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) y y) x) (*.f64 z z)) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y))) z (*.f64 x y)) (*.f64 z z)) |
(*.f64 (/.f64 z x) z) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(*.f64 (neg.f64 z) z) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(/.f64 (/.f64 (neg.f64 y) z) z) |
(/.f64 (/.f64 (-.f64 (*.f64 z y) y) z) z) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 z) y y) z (neg.f64 y)) z) z) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (*.f64 z y) y)) (*.f64 z z)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/.f64 (*.f64 x (-.f64 y (/.f64 y z))) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (neg.f64 x) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (-.f64 (/.f64 x z) x) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x z)) z) x) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z) x) (pow.f64 z #s(literal 3 binary64))) |
(neg.f64 (pow.f64 z #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/.f64 (*.f64 x (-.f64 y (/.f64 y z))) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 y (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (-.f64 y (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) z)) (pow.f64 z #s(literal 3 binary64))) |
(pow.f64 z #s(literal 3 binary64)) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
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(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 172 |
| 0 | 48 | 170 |
| 1 | 170 | 167 |
| 2 | 1035 | 167 |
| 0 | 9042 | 167 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 y) (/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))))) |
(neg.f64 y) |
(/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)))) |
#s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) (neg.f64 x)) |
(/.f64 y (/.f64 (*.f64 (fma.f64 z z z) z) x)) |
(/.f64 (*.f64 (fma.f64 z z z) z) x) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) |
(neg.f64 x) |
| Outputs |
|---|
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Compiled 49 088 to 5 093 computations (89.6% saved)
20 alts after pruning (14 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 516 | 6 | 2 522 |
| Fresh | 1 | 8 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 4 | 5 |
| Total | 2 521 | 20 | 2 541 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 93.1% | (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
| 61.3% | (/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) | |
| 59.5% | (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) | |
| 64.2% | (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z) | |
| 70.4% | (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) | |
| ✓ | 83.0% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
| 55.4% | (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) | |
| ✓ | 68.6% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| 72.4% | (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 z x)) | |
| 61.2% | (/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 y (-.f64 (/.f64 x z) x))) z) | |
| 53.4% | (/.f64 y (/.f64 (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z) x)) | |
| 91.0% | (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z (/.f64 z x)))) | |
| 78.1% | (/.f64 y #s(approx (/ (* (+ (* z z) z) z) x) (*.f64 (/.f64 z x) z))) | |
| 84.7% | (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) | |
| ✓ | 68.8% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
| ✓ | 86.0% | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
| 86.0% | (*.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) y) | |
| 54.0% | (*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) | |
| ✓ | 74.3% | (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
| 72.0% | #s(approx (/ (/ y (+ (* z z) z)) (/ z x)) (*.f64 (/.f64 x z) (/.f64 y z))) |
Compiled 843 to 329 computations (61% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ (* z z) z)) (/ z x)) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 y #s(approx (/ (* (+ (* z z) z) z) x) (*.f64 (/.f64 z x) z))) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
(*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))) |
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) y) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 y (-.f64 (/.f64 x z) x))) z) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(*.f64 (neg.f64 y) (/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) (neg.f64 x)) |
(/.f64 y (/.f64 (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z) x)) |
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) |
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) |
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) |
(/.f64 y (/.f64 (*.f64 (fma.f64 z z z) z) x)) |
(/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 z x)) |
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z (/.f64 z x)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (*.f64 (/.f64 z x) z)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z) |
(/.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x)) |
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) |
| Outputs |
|---|
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x)) |
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z) |
6 calls:
| 322.0ms | (*.f64 x y) |
| 15.0ms | x |
| 15.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 14.0ms | y |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 2 | x |
| 97.7% | 2 | y |
| 98.7% | 3 | z |
| 94.4% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 97.6% | 2 | (*.f64 x y) |
| 98.7% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ (* z z) z)) (/ z x)) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 y #s(approx (/ (* (+ (* z z) z) z) x) (*.f64 (/.f64 z x) z))) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
(*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))) |
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) y) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 y (-.f64 (/.f64 x z) x))) z) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(*.f64 (neg.f64 y) (/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) (neg.f64 x)) |
(/.f64 y (/.f64 (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z) x)) |
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) |
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) |
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) |
(/.f64 y (/.f64 (*.f64 (fma.f64 z z z) z) x)) |
(/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 z x)) |
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z (/.f64 z x)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (*.f64 (/.f64 z x) z)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z) |
(/.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x)) |
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z) |
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z) |
4 calls:
| 74.0ms | (*.f64 x y) |
| 11.0ms | z |
| 11.0ms | y |
| 10.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | z |
| 98.7% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 94.4% | 1 | (*.f64 x y) |
| 94.4% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ (* z z) z)) (/ z x)) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 y #s(approx (/ (* (+ (* z z) z) z) x) (*.f64 (/.f64 z x) z))) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
(*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))) |
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) y) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 y (-.f64 (/.f64 x z) x))) z) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(*.f64 (neg.f64 y) (/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) (neg.f64 x)) |
(/.f64 y (/.f64 (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z) x)) |
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) |
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) |
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) |
(/.f64 y (/.f64 (*.f64 (fma.f64 z z z) z) x)) |
(/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 z x)) |
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z (/.f64 z x)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (*.f64 (/.f64 z x) z)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x))) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z (/.f64 z x)))) |
6 calls:
| 18.0ms | z |
| 17.0ms | y |
| 13.0ms | (*.f64 x y) |
| 10.0ms | x |
| 9.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 2 | y |
| 93.5% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 93.5% | 1 | (*.f64 x y) |
| 95.3% | 2 | x |
| 93.5% | 1 | z |
| 93.5% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ (* z z) z)) (/ z x)) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 y #s(approx (/ (* (+ (* z z) z) z) x) (*.f64 (/.f64 z x) z))) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
(*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))) |
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) y) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 y (-.f64 (/.f64 x z) x))) z) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(*.f64 (neg.f64 y) (/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) (neg.f64 x)) |
(/.f64 y (/.f64 (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z) x)) |
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) |
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) |
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) |
(/.f64 y (/.f64 (*.f64 (fma.f64 z z z) z) x)) |
(/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 z x)) |
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
6 calls:
| 14.0ms | z |
| 12.0ms | y |
| 10.0ms | (*.f64 x y) |
| 10.0ms | x |
| 9.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.5% | 1 | z |
| 93.5% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 93.5% | 1 | (*.f64 x y) |
| 93.5% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 93.5% | 1 | x |
| 93.5% | 1 | y |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ (* z z) z)) (/ z x)) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 y #s(approx (/ (* (+ (* z z) z) z) x) (*.f64 (/.f64 z x) z))) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
(*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))) |
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) y) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 y (-.f64 (/.f64 x z) x))) z) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(*.f64 (neg.f64 y) (/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) (neg.f64 x)) |
(/.f64 y (/.f64 (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z) x)) |
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) |
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) |
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) |
(/.f64 y (/.f64 (*.f64 (fma.f64 z z z) z) x)) |
(/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 z x)) |
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
| Outputs |
|---|
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) |
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
6 calls:
| 71.0ms | y |
| 12.0ms | (*.f64 x y) |
| 9.0ms | x |
| 9.0ms | z |
| 8.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.7% | 2 | x |
| 93.1% | 1 | y |
| 93.1% | 1 | z |
| 93.1% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 93.1% | 1 | (*.f64 x y) |
| 96.2% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ (* z z) z)) (/ z x)) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 y #s(approx (/ (* (+ (* z z) z) z) x) (*.f64 (/.f64 z x) z))) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
(*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))) |
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) y) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 y (-.f64 (/.f64 x z) x))) z) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(*.f64 (neg.f64 y) (/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) (neg.f64 x)) |
(/.f64 y (/.f64 (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z) x)) |
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) |
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) |
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) |
(/.f64 y (/.f64 (*.f64 (fma.f64 z z z) z) x)) |
(/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 z x)) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) |
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) |
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) |
6 calls:
| 16.0ms | (*.f64 x y) |
| 13.0ms | x |
| 10.0ms | y |
| 9.0ms | z |
| 8.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 3 | z |
| 90.7% | 1 | y |
| 94.0% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 90.7% | 1 | (*.f64 x y) |
| 95.9% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 90.7% | 1 | x |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ (* z z) z)) (/ z x)) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 y #s(approx (/ (* (+ (* z z) z) z) x) (*.f64 (/.f64 z x) z))) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
(*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))) |
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) y) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 y (-.f64 (/.f64 x z) x))) z) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(*.f64 (neg.f64 y) (/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) (neg.f64 x)) |
(/.f64 y (/.f64 (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z) x)) |
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) |
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) |
(*.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) y) |
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 y (-.f64 (/.f64 x z) x))) z) |
(/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) |
3 calls:
| 19.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 8.0ms | z |
| 7.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 96.3% | 4 | z |
| 95.8% | 4 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 19 to 19 computations (0% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ (* z z) z)) (/ z x)) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 y #s(approx (/ (* (+ (* z z) z) z) x) (*.f64 (/.f64 z x) z))) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
(*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))) |
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) y) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 y (-.f64 (/.f64 x z) x))) z) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(*.f64 (neg.f64 y) (/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) (neg.f64 x)) |
(/.f64 y (/.f64 (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z) x)) |
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) |
| Outputs |
|---|
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))) |
2 calls:
| 22.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 4 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 94.2% | 3 | z |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ (* z z) z)) (/ z x)) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 y #s(approx (/ (* (+ (* z z) z) z) x) (*.f64 (/.f64 z x) z))) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
(*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))) |
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) y) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 y (-.f64 (/.f64 x z) x))) z) |
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) |
(*.f64 (neg.f64 y) (/.f64 x #s(approx (* (neg z) (+ (* z z) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))))) |
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) (neg.f64 x)) |
(/.f64 y (/.f64 (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z) x)) |
| Outputs |
|---|
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 y #s(approx (/ (* (+ (* z z) z) z) x) (*.f64 (/.f64 z x) z))) |
2 calls:
| 7.0ms | z |
| 6.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 93.2% | 3 | z |
Compiled 12 to 12 computations (0% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ (* z z) z)) (/ z x)) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
| Outputs |
|---|
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
6 calls:
| 36.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 4.0ms | x |
| 4.0ms | z |
| 3.0ms | y |
| 3.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.7% | 3 | z |
| 86.0% | 1 | x |
| 89.0% | 2 | y |
| 88.6% | 2 | (*.f64 x y) |
| 92.0% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 91.5% | 3 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ (* z z) z)) (/ z x)) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
3 calls:
| 3.0ms | z |
| 3.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 3.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.5% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 90.6% | 3 | z |
| 90.6% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 19 to 19 computations (0% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (/ y (+ (* z z) z)) (/ z x)) (*.f64 (/.f64 x z) (/.f64 y z))) |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
6 calls:
| 5.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.2% | 2 | x |
| 82.9% | 3 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 78.4% | 2 | (*.f64 x y) |
| 78.7% | 2 | y |
| 85.7% | 3 | z |
| 87.6% | 4 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) |
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) |
2 calls:
| 2.0ms | z |
| 2.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.0% | 3 | z |
| 83.0% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) |
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) |
3 calls:
| 2.0ms | z |
| 2.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 2.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.6% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 82.7% | 3 | z |
| 82.7% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 19 to 19 computations (0% saved)
Total -6.4b remaining (-38.7%)
Threshold costs -6.4b (-38.7%)
| Inputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| Outputs |
|---|
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
6 calls:
| 4.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.3% | 1 | x |
| 74.3% | 1 | (*.f64 x y) |
| 74.3% | 1 | y |
| 74.3% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 74.3% | 1 | z |
| 74.3% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 24 to 29 computations (-20.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.1532511701382616e+86 | 4.412762364002923e+87 |
| 12.0ms | 112× | 0 | valid |
Compiled 161 to 141 computations (12.4% saved)
ival-div: 7.0ms (75.1% of total)ival-mult: 2.0ms (21.4% of total)ival-add: 1.0ms (10.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.002822017153147266 | 2.647915383228595e+24 |
| 0.0ms | -3.797088248263338e+69 | -2.2817101637849967e+56 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 2.736529456326534e+253 | 3.9364780980212835e+253 |
| 3.0ms | 48× | 0 | valid |
Compiled 77 to 69 computations (10.4% saved)
ival-mult: 1.0ms (69.5% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.0348955759845692e-187 | 3.098243944684404e-187 |
| 4.0ms | 80× | 0 | valid |
Compiled 114 to 95 computations (16.7% saved)
ival-div: 1.0ms (40.8% of total)ival-mult: 1.0ms (40.8% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.002822017153147266 | 2.647915383228595e+24 |
| 0.0ms | -3.797088248263338e+69 | -2.2817101637849967e+56 |
Compiled 14 to 15 computations (-7.1% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 1.6940894067945042e-5 | 138346454.34833223 |
| 2.0ms | -1.8938127194849724e-138 | -5.3336485442243964e-145 |
| 13.0ms | -1.5600920732779847e+23 | -6110641787525741000.0 |
| 18.0ms | 304× | 0 | valid |
Compiled 592 to 446 computations (24.7% saved)
ival-mult: 5.0ms (55.9% of total)ival-div: 2.0ms (22.4% of total)ival-add: 1.0ms (11.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 1.6940894067945042e-5 | 138346454.34833223 |
| 13.0ms | -1.168809113434827e-11 | -1.8532969568201714e-18 |
| 11.0ms | 208× | 0 | valid |
Compiled 634 to 482 computations (24% saved)
ival-mult: 4.0ms (62.9% of total)ival-div: 1.0ms (15.7% of total)ival-add: 1.0ms (15.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.65526352201189e+120 | 3.43184256045549e+122 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.1173472947174863e-307 | 6.785564788206897e-305 |
| 0.0ms | -40.97257165480198 | 0.0 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.1173472947174863e-307 | 6.785564788206897e-305 |
| 0.0ms | -40.97257165480198 | 0.0 |
Compiled 14 to 15 computations (-7.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.002822017153147266 | 2.647915383228595e+24 |
| 0.0ms | 3.1173472947174863e-307 | 6.785564788206897e-305 |
| 0.0ms | -40.97257165480198 | 0.0 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.002822017153147266 | 2.647915383228595e+24 |
| 0.0ms | -40.97257165480198 | 0.0 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.002822017153147266 | 2.647915383228595e+24 |
| 0.0ms | -40.97257165480198 | 0.0 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 731 |
| 1 | 163 | 731 |
| 2 | 180 | 731 |
| 3 | 195 | 731 |
| 4 | 203 | 731 |
| 5 | 206 | 731 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal 499999999999999979708362228175181365745998044824225719834869504903351961475477212758016 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x)) (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z)) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -2000000000000000145062872763058470252316748819293043911036420310958080 binary64)) (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z))) |
(if (<=.f64 y #s(literal 37999999999999998883977432557015025304638740720011943051225484576086806433994392545958393590686664765357660426641189042058070686608124250413991170225984513387158513841205949936850142010966161899964539218049696677830236355556790871265412510907007653380096 binary64)) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z (/.f64 z x))))) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(if (<=.f64 x #s(literal 8622034626756923/78382132970517478991165606422426233672355708521949855379734648809861125861064803929830588940942115354940041435601982738271645192059633193360683542052684438972998018132574030730004068581526319939960438784 binary64)) (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -2000000000000000145062872763058470252316748819293043911036420310958080 binary64)) (/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) (/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z))) |
(if (<=.f64 z #s(literal -1650000000000000000000 binary64)) (/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) (if (<=.f64 z #s(literal -6703903964971299/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (*.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) y) (if (<=.f64 z #s(literal 3/4 binary64)) (/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 y (-.f64 (/.f64 x z) x))) z) (/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z)))) |
(if (<=.f64 z #s(literal -6814889626826961/81129638414606681695789005144064 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))) (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 10000000000000000373409337471459889719393275754491820381027730410378005080671497101378613371421126415052399029342192009216 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (/.f64 y #s(approx (/ (* (+ (* z z) z) z) x) (*.f64 (/.f64 z x) z)))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -40 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 6325070415853457/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -40 binary64)) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 6325070415853457/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -40 binary64)) (*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 6325070415853457/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -40 binary64)) (*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) (/.f64 (*.f64 y x) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -40 binary64)) (*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) (*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y))) |
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) |
| Outputs |
|---|
(if (<=.f64 y #s(literal 499999999999999979708362228175181365745998044824225719834869504903351961475477212758016 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x)) (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z)) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal -2000000000000000145062872763058470252316748819293043911036420310958080 binary64)) (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z))) |
(if (<=.f64 y #s(literal 37999999999999998883977432557015025304638740720011943051225484576086806433994392545958393590686664765357660426641189042058070686608124250413991170225984513387158513841205949936850142010966161899964539218049696677830236355556790871265412510907007653380096 binary64)) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (/.f64 y (*.f64 (*.f64 (/.f64 z x) z) (+.f64 #s(literal 1 binary64) z)))) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(if (<=.f64 x #s(literal 8622034626756923/78382132970517478991165606422426233672355708521949855379734648809861125861064803929830588940942115354940041435601982738271645192059633193360683542052684438972998018132574030730004068581526319939960438784 binary64)) (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal -2000000000000000145062872763058470252316748819293043911036420310958080 binary64)) (/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) (/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z))) |
(if (<=.f64 z #s(literal -1650000000000000000000 binary64)) (/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z) (if (<=.f64 z #s(literal -6703903964971299/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (*.f64 (/.f64 x (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z))) y) (if (<=.f64 z #s(literal 3/4 binary64)) (/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (-.f64 (/.f64 x z) x) y)) z) (/.f64 (*.f64 (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z))) x) z)))) |
(if (<=.f64 z #s(literal -6814889626826961/81129638414606681695789005144064 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 1 binary64)) (*.f64 #s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)) (neg.f64 y)) (/.f64 (*.f64 (/.f64 x z) y) #s(approx (+ (* z z) z) (*.f64 z z))))) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z))) #s(literal 10000000000000000373409337471459889719393275754491820381027730410378005080671497101378613371421126415052399029342192009216 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (/.f64 y #s(approx (/ (* (+ (* z z) z) z) x) (*.f64 (/.f64 z x) z)))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal -40 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal 6325070415853457/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal -40 binary64)) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal 6325070415853457/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal -40 binary64)) (*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal 6325070415853457/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) (/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal -40 binary64)) (*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) (/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal -40 binary64)) (*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) (*.f64 (/.f64 x (*.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) y))) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 134 |
| 0 | 46 | 128 |
| 1 | 180 | 126 |
| 2 | 999 | 126 |
| 0 | 8609 | 126 |
| 0 | 31 | 174 |
| 0 | 48 | 171 |
| 1 | 176 | 164 |
| 2 | 1093 | 164 |
| 0 | 9113 | 164 |
| 0 | 143 | 3867 |
| 1 | 441 | 3757 |
| 2 | 1181 | 3548 |
| 3 | 4269 | 3463 |
| 0 | 8118 | 3252 |
| 0 | 63 | 683 |
| 1 | 202 | 664 |
| 2 | 577 | 646 |
| 3 | 3491 | 628 |
| 0 | 8398 | 593 |
| 0 | 281 | 4392 |
| 1 | 829 | 4143 |
| 2 | 2187 | 3999 |
| 3 | 6582 | 3964 |
| 0 | 8338 | 3741 |
| 0 | 9 | 27 |
| 0 | 14 | 27 |
| 1 | 55 | 27 |
| 2 | 338 | 27 |
| 3 | 3204 | 27 |
| 0 | 8488 | 25 |
| 0 | 243 | 4139 |
| 1 | 737 | 3990 |
| 2 | 2024 | 3736 |
| 3 | 6253 | 3731 |
| 0 | 8205 | 3508 |
| 0 | 30 | 172 |
| 0 | 48 | 170 |
| 1 | 170 | 167 |
| 2 | 1035 | 167 |
| 0 | 9042 | 167 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 242 to 990 computations (55.8% saved)
Compiled 2 304 to 606 computations (73.7% saved)
Loading profile data...