
Time bar (total: 7.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 932.0ms | 8 252× | 0 | valid |
| 0.0ms | 4× | 1 | valid |
ival-sin: 264.0ms (40.7% of total)ival-cos: 192.0ms (29.6% of total)ival-add: 112.0ms (17.3% of total)ival-mult: 69.0ms (10.6% of total)ival-true: 7.0ms (1.1% of total)ival-assert: 4.0ms (0.6% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | (*.f64 z (cos.f64 y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 x (sin.f64 y)) |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 50.0ms | 512× | 0 | valid |
Compiled 85 to 36 computations (57.6% saved)
ival-sin: 12.0ms (37.9% of total)ival-cos: 11.0ms (34.8% of total)ival-add: 5.0ms (15.8% of total)ival-mult: 4.0ms (12.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 90 |
| 1 | 92 | 82 |
| 2 | 234 | 81 |
| 3 | 588 | 81 |
| 4 | 1029 | 81 |
| 5 | 1414 | 81 |
| 6 | 1696 | 81 |
| 7 | 1888 | 81 |
| 8 | 1995 | 81 |
| 9 | 2055 | 81 |
| 10 | 2069 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 18 | 9 |
| 2 | 25 | 9 |
| 3 | 27 | 9 |
| 0 | 27 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (+.f64 x (sin.f64 y)) | |
| cost-diff | 128 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 18 | 24 |
| 2 | 25 | 24 |
| 3 | 27 | 24 |
| 0 | 27 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
(*.f64 (cos.f64 y) z) |
z |
(cos.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x (sin.f64 y)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.1171875 | (*.f64 z (cos.f64 y)) |
| 38.0ms | 256× | 0 | valid |
Compiled 50 to 18 computations (64% saved)
ival-cos: 7.0ms (34.2% of total)ival-sin: 6.0ms (29.3% of total)ival-mult: 5.0ms (24.4% of total)ival-add: 3.0ms (14.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | z | @ | -inf | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | z | @ | inf | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | y | @ | -inf | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | y | @ | 0 | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 647 |
| 1 | 310 | 643 |
| 2 | 846 | 633 |
| 3 | 2177 | 631 |
| 4 | 4214 | 631 |
| 5 | 7319 | 631 |
| 0 | 8042 | 578 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
| Outputs |
|---|
(+.f64 (sin.f64 y) x) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(+.f64 z x) |
(+.f64 (+.f64 y x) z) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) |
x |
(+.f64 y x) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) (+.f64 y x)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (+.f64 y x)) |
y |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
z |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(sin.f64 y) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
x |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
x |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
x |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
x |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 43 | 21 |
| 2 | 362 | 21 |
| 3 | 5548 | 21 |
| 0 | 8320 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
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Compiled 6 481 to 608 computations (90.6% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 260 | 13 | 273 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 261 | 13 | 274 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
| 81.5% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| ▶ | 71.6% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
| 99.8% | (*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) | |
| 51.1% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal -1 binary64))) | |
| ▶ | 55.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
| 57.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) | |
| 60.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) | |
| 61.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) | |
| 54.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| ▶ | 66.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 45.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
Compiled 428 to 304 computations (29% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (+ x (sin y)) (+.f64 y x)) | |
| cost-diff | 128 | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) | |
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (+.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 178 |
| 0 | 47 | 172 |
| 1 | 72 | 172 |
| 2 | 103 | 172 |
| 3 | 237 | 172 |
| 4 | 511 | 172 |
| 5 | 732 | 172 |
| 6 | 780 | 172 |
| 7 | 867 | 172 |
| 8 | 867 | 172 |
| 0 | 867 | 171 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
z |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(+.f64 z x) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
y |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
#s(literal 1 binary64) |
(+.f64 z x) |
x |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
z |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(literal -1 binary64) |
| Outputs |
|---|
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(cos.f64 y) |
y |
z |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
(+.f64 x z) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
y |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
#s(literal 1 binary64) |
(+.f64 x z) |
x |
(fma.f64 z (cos.f64 y) #s(approx (+ x (sin y)) (+.f64 x y))) |
#s(approx (+ x (sin y)) (+.f64 x y)) |
(+.f64 x y) |
y |
x |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(cos.f64 y) |
y |
z |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
#s(literal -1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.046875 | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) | |
| accuracy | 0.10546875 | (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) | |
| accuracy | 0.203125 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.1171875 | (*.f64 z (cos.f64 y)) | |
| accuracy | 22.81788451164179 | #s(approx (+ x (sin y)) (+.f64 y x)) | |
| accuracy | 0.015625 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) | |
| accuracy | 0.02734375 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) | |
| accuracy | 0.1484375 | (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) | |
| accuracy | 28.658406746852503 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) | |
| accuracy | 0 | (+.f64 z x) | |
| accuracy | 21.742328031523574 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) | |
| accuracy | 0 | (+.f64 (sin.f64 y) x) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.046875 | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 87.0ms | 256× | 0 | valid |
Compiled 341 to 57 computations (83.3% saved)
ival-add: 30.0ms (48% of total)ival-mult: 10.0ms (16% of total)ival-sin: 6.0ms (9.6% of total)ival-cos: 6.0ms (9.6% of total)const: 4.0ms (6.4% of total)ival-pow: 4.0ms (6.4% of total)ival-div: 2.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | inf | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) |
| 3.0ms | z | @ | -inf | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) |
| 2.0ms | z | @ | 0 | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) |
| 2.0ms | y | @ | -inf | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) |
| 2.0ms | y | @ | inf | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 401 | 4590 |
| 1 | 1195 | 4489 |
| 2 | 3764 | 4360 |
| 0 | 8230 | 4014 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(* -1/6 y) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ x (sin y))) |
(+ (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4))) (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* -1/2 z) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(/ 1 (* z (cos y))) |
(/ (+ (* -1 (/ (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z) |
(/ (- (+ (/ 1 (cos y)) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z) |
(/ (- (+ (* -1 (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 3) (pow (cos y) 2)))) (/ 1 (cos y))) (+ (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))))) z) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1/2 (* y z)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1/2 z) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (cos y))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (pow (cos y) 2))) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (cos y))) z)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(/ 1 (+ x z)) |
(+ (* -1 (/ y (pow (+ x z) 2))) (/ 1 (+ x z))) |
(+ (* y (- (* y (- (/ 1 (pow (+ x z) 3)) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z))) |
(+ (* y (- (* y (- (+ (* y (- (+ (* -1/2 (/ z (pow (+ x z) 3))) (* 1/6 (/ 1 (pow (+ x z) 2)))) (+ (* 1/2 (/ z (pow (+ x z) 3))) (/ 1 (pow (+ x z) 4))))) (/ 1 (pow (+ x z) 3))) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* -1/6 y) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y))))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(* -1/6 y) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ (sin y) (* z (cos y)))) |
(+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 2))) (/ 1 (+ (sin y) (* z (cos y))))) |
(+ (* x (- (/ x (pow (+ (sin y) (* z (cos y))) 3)) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 4))) (/ 1 (pow (+ (sin y) (* z (cos y))) 3)))) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y))))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x) |
(/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x)))) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(/ 1 x) |
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 3) x) (pow (+ (sin y) (* z (cos y))) 2)) x)) (+ (sin y) (* z (cos y)))) x)) 1) x)) |
| Outputs |
|---|
(+.f64 (sin.f64 y) x) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) x) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
x |
(+.f64 x z) |
(+.f64 x z) |
(+.f64 x z) |
(+.f64 (sin.f64 y) x) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) y) |
(fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) |
(fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) |
(fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) |
(+.f64 (sin.f64 y) x) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(+.f64 (sin.f64 y) x) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) (/.f64 z (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64))) z (/.f64 (neg.f64 (cos.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 z (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)))) z (/.f64 (neg.f64 (cos.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
z |
(fma.f64 (/.f64 x z) z z) |
(fma.f64 (/.f64 x z) z z) |
(fma.f64 (/.f64 x z) z z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (+.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) (/.f64 x z))) z z) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (+.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) (/.f64 x z))) z z) |
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(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
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(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 z y) #s(literal 1/2 binary64) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y))) y))) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) y) y) |
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y)) |
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y)) |
(*.f64 #s(literal -1/6 binary64) y) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) #s(literal 1/2 binary64) #s(literal 1/6 binary64))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) #s(literal 1/2 binary64) #s(literal 1/6 binary64))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) #s(literal 1/2 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
y |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(sin.f64 y) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
z |
(+.f64 x z) |
(+.f64 x z) |
(+.f64 x z) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(sin.f64 y) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
(+.f64 (sin.f64 y) x) |
y |
(+.f64 x y) |
(+.f64 x y) |
(+.f64 x y) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
x |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
x |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
x |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
x |
(fma.f64 (/.f64 z x) x x) |
(fma.f64 (/.f64 z x) x x) |
(fma.f64 (/.f64 z x) x x) |
x |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
x |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x) |
x |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
x |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
x |
(fma.f64 (/.f64 y x) x x) |
(fma.f64 (/.f64 y x) x x) |
(fma.f64 (/.f64 y x) x x) |
x |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) x) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal 1 binary64)) x) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 3 binary64)))) x) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x))) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) (fma.f64 (cos.f64 y) z (sin.f64 y))) x)) (neg.f64 x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 x)) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 135 |
| 0 | 47 | 129 |
| 1 | 207 | 129 |
| 2 | 1621 | 129 |
| 0 | 8200 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(cos.f64 y) |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(+.f64 z x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
(+.f64 y x) |
(*.f64 z (cos.f64 y)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
| Outputs |
|---|
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Compiled 34 171 to 2 288 computations (93.3% saved)
26 alts after pruning (24 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 131 | 24 | 1 155 |
| Fresh | 8 | 0 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 142 | 26 | 1 168 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 71.6% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) | |
| 60.7% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| ▶ | 81.5% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
| 29.1% | (pow.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1 binary64))) #s(literal -1/2 binary64)) | |
| 50.0% | (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64)) | |
| 45.8% | (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64))) | |
| ▶ | 45.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) |
| 54.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)))) | |
| 39.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 55.1% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) | |
| 57.4% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) | |
| ▶ | 61.7% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
| 54.7% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x)) | |
| 45.8% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) | |
| ▶ | 55.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
| ▶ | 27.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x))) |
| 54.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) | |
| 51.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) | |
| 29.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) | |
| 29.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) | |
| ✓ | 66.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 46.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x))) | |
| 27.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) | |
| 57.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) | |
| 54.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
Compiled 1 117 to 813 computations (27.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 y)) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) | |
| cost-diff | 0 | #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x))) | |
| cost-diff | 1536 | (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | (+.f64 (+.f64 z y) x) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (+.f64 (sin.f64 y) x) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 342 |
| 0 | 77 | 342 |
| 1 | 122 | 338 |
| 2 | 190 | 338 |
| 3 | 343 | 338 |
| 4 | 600 | 338 |
| 5 | 1155 | 326 |
| 6 | 2047 | 326 |
| 7 | 3758 | 326 |
| 8 | 6242 | 326 |
| 0 | 8040 | 303 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
(+.f64 (+.f64 z y) x) |
(+.f64 z y) |
z |
y |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
#s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal -1/6 binary64) |
y |
#s(literal 1 binary64) |
(+.f64 z x) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x))) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x)) |
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) |
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y)) |
(-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) |
#s(literal -1/6 binary64) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y) |
(fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) |
#s(literal 1/2 binary64) |
z |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 y y) |
(+.f64 z x) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
(cos.f64 y) |
y |
z |
| Outputs |
|---|
(fma.f64 z #s(approx (cos y) #s(literal 1 binary64)) (+.f64 x (sin.f64 y))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
(+.f64 (+.f64 z y) x) |
(+.f64 z y) |
z |
y |
x |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 x z))) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
#s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal -1/6 binary64) |
y |
#s(literal 1 binary64) |
(+.f64 x z) |
z |
x |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64))) y (+.f64 x z))) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64))) y (+.f64 x z)) |
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) |
#s(literal -1/6 binary64) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y) |
(fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) |
#s(literal 1/2 binary64) |
z |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 y y) |
(+.f64 x z) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
(cos.f64 y) |
y |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (/.f64 #s(literal 1 binary64) (cos.f64 y)) | |
| accuracy | 0.16796875 | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) | |
| accuracy | 0.203125 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) | |
| accuracy | 34.54224521678977 | #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) | |
| accuracy | 0.015625 | (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x)) | |
| accuracy | 0.05859375 | (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y) | |
| accuracy | 17.56468734228867 | (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y)) | |
| accuracy | 28.658406746852503 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x))) | |
| accuracy | 0.02734375 | (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) | |
| accuracy | 0.33203125 | (*.f64 #s(literal -1/6 binary64) y) | |
| accuracy | 28.658406746852503 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) | |
| accuracy | 34.34069412737611 | #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) | |
| accuracy | 0 | (+.f64 (+.f64 z y) x) | |
| accuracy | 0 | (+.f64 z y) | |
| accuracy | 24.511823530344635 | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) | |
| accuracy | 0 | (+.f64 (sin.f64 y) x) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.046875 | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) | |
| accuracy | 28.56485475720765 | #s(approx (cos y) #s(literal 1 binary64)) |
| 97.0ms | 256× | 0 | valid |
Compiled 577 to 92 computations (84.1% saved)
ival-mult: 19.0ms (24.9% of total)ival-add: 17.0ms (22.3% of total)const: 12.0ms (15.7% of total)ival-div: 11.0ms (14.4% of total)ival-cos: 7.0ms (9.2% of total)ival-sin: 6.0ms (7.9% of total)ival-pow: 4.0ms (5.2% of total)ival-sub: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal -1/6 binary64) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | y | @ | inf | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (* (- -1/6 (/ (+ (* 1/2 z) (/ -1 y)) y)) (* y y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (/ 1 (cos y)) z) (/ 1 (cos y)) (* -1/6 y) (/ (+ (* 1/2 z) (/ -1 y)) y)) |
| 5.0ms | z | @ | -inf | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (* (- -1/6 (/ (+ (* 1/2 z) (/ -1 y)) y)) (* y y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (/ 1 (cos y)) z) (/ 1 (cos y)) (* -1/6 y) (/ (+ (* 1/2 z) (/ -1 y)) y)) |
| 3.0ms | z | @ | 0 | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (* (- -1/6 (/ (+ (* 1/2 z) (/ -1 y)) y)) (* y y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (/ 1 (cos y)) z) (/ 1 (cos y)) (* -1/6 y) (/ (+ (* 1/2 z) (/ -1 y)) y)) |
| 3.0ms | y | @ | -inf | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (* (- -1/6 (/ (+ (* 1/2 z) (/ -1 y)) y)) (* y y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (/ 1 (cos y)) z) (/ 1 (cos y)) (* -1/6 y) (/ (+ (* 1/2 z) (/ -1 y)) y)) |
| 3.0ms | z | @ | inf | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (* (- -1/6 (/ (+ (* 1/2 z) (/ -1 y)) y)) (* y y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (/ 1 (cos y)) z) (/ 1 (cos y)) (* -1/6 y) (/ (+ (* 1/2 z) (/ -1 y)) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 448 | 6219 |
| 1 | 1341 | 6057 |
| 2 | 4218 | 5823 |
| 0 | 8176 | 5329 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x y) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(* -1/6 y) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(+ (* -1/2 (* y z)) (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))) |
(+ (* -1/2 (* y z)) (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))) |
(+ (* -1/2 (* y z)) (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ x (sin y))) |
(+ (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4))) (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ -1 (pow y 2)) |
(- (* 1/2 (/ z y)) (/ 1 (pow y 2))) |
(- (* 1/2 (/ z y)) (/ 1 (pow y 2))) |
(- (* 1/2 (/ z y)) (/ 1 (pow y 2))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* -1/2 z) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (/ (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) z))) |
(* z (+ (* -1/2 y) (/ (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) z))) |
(* z (+ (* -1/2 y) (/ (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) z))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(/ 1 (* z (cos y))) |
(/ (+ (* -1 (/ (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z) |
(/ (- (+ (/ 1 (cos y)) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z) |
(/ (- (+ (* -1 (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 3) (pow (cos y) 2)))) (/ 1 (cos y))) (+ (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))))) z) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(* 1/2 (/ z y)) |
(* z (- (* 1/2 (/ 1 y)) (/ 1 (* (pow y 2) z)))) |
(* z (- (* 1/2 (/ 1 y)) (/ 1 (* (pow y 2) z)))) |
(* z (- (* 1/2 (/ 1 y)) (/ 1 (* (pow y 2) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1/2 (* y z)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1/2 z) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1/2 (* y z)) |
(* -1 (* z (+ (* 1/2 y) (/ (* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) z)))) |
(* -1 (* z (+ (* 1/2 y) (/ (* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) z)))) |
(* -1 (* z (+ (* 1/2 y) (/ (* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1/2 (* y z)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (cos y))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (pow (cos y) 2))) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (cos y))) z)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(* 1/2 (/ z y)) |
(* -1 (* z (- (/ 1 (* (pow y 2) z)) (* 1/2 (/ 1 y))))) |
(* -1 (* z (- (/ 1 (* (pow y 2) z)) (* 1/2 (/ 1 y))))) |
(* -1 (* z (- (/ 1 (* (pow y 2) z)) (* 1/2 (/ 1 y))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
1 |
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(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(/ 1 (+ x z)) |
(+ (* -1 (/ y (pow (+ x z) 2))) (/ 1 (+ x z))) |
(+ (* y (- (* y (- (/ 1 (pow (+ x z) 3)) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z))) |
(+ (* y (- (* y (- (+ (* y (- (+ (* -1/2 (/ z (pow (+ x z) 3))) (* 1/6 (/ 1 (pow (+ x z) 2)))) (+ (* 1/2 (/ z (pow (+ x z) 3))) (/ 1 (pow (+ x z) 4))))) (/ 1 (pow (+ x z) 3))) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z))) |
(/ 1 z) |
(+ (* 1/2 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (+ (* 5/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 61/720 (/ (pow y 2) z)) (* 5/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
1 |
(+ 1 (* 1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2))))))) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(/ -1 (pow y 2)) |
(/ (- (* 1/2 (* y z)) 1) (pow y 2)) |
(/ (- (* 1/2 (* y z)) 1) (pow y 2)) |
(/ (- (* 1/2 (* y z)) 1) (pow y 2)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* -1/6 y) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (cos y)) |
(/ 1 (cos y)) |
(/ 1 (cos y)) |
(/ 1 (cos y)) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* 1/2 (/ z y)) |
(/ (- (* 1/2 z) (/ 1 y)) y) |
(/ (- (* 1/2 z) (/ 1 y)) y) |
(/ (- (* 1/2 z) (/ 1 y)) y) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
y |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y))))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(* -1/6 y) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y))))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (cos y)) |
(/ 1 (cos y)) |
(/ 1 (cos y)) |
(/ 1 (cos y)) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* 1/2 (/ z y)) |
(* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)) |
(* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)) |
(* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ y z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ (sin y) (* z (cos y)))) |
(+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 2))) (/ 1 (+ (sin y) (* z (cos y))))) |
(+ (* x (- (/ x (pow (+ (sin y) (* z (cos y))) 3)) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 4))) (/ 1 (pow (+ (sin y) (* z (cos y))) 3)))) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y))))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x) |
(/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x)))) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(/ 1 x) |
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 3) x) (pow (+ (sin y) (* z (cos y))) 2)) x)) (+ (sin y) (* z (cos y)))) x)) 1) x)) |
| Outputs |
|---|
(+.f64 (sin.f64 y) x) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) x) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+.f64 x y) |
(+.f64 (+.f64 x z) y) |
(+.f64 (+.f64 x z) y) |
(+.f64 (+.f64 x z) y) |
y |
(+.f64 z y) |
(+.f64 z y) |
(+.f64 z y) |
(+.f64 (sin.f64 y) x) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) y) |
(fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) |
(fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) |
(fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
(+.f64 (sin.f64 y) x) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
(+.f64 (sin.f64 y) x) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) (/.f64 z (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64))) z (/.f64 (neg.f64 (cos.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 z (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)))) z (/.f64 (neg.f64 (cos.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
(/.f64 (/.f64 #s(literal -1 binary64) y) y) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y) |
(*.f64 z (cos.f64 y)) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
z |
(fma.f64 (+.f64 (/.f64 y z) (/.f64 x z)) z z) |
(fma.f64 (+.f64 (/.f64 y z) (/.f64 x z)) z z) |
(fma.f64 (+.f64 (/.f64 y z) (/.f64 x z)) z z) |
z |
(fma.f64 (/.f64 y z) z z) |
(fma.f64 (/.f64 y z) z z) |
(fma.f64 (/.f64 y z) z z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
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(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 x (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
x |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
x |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
x |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
x |
(fma.f64 (+.f64 (/.f64 z x) (/.f64 y x)) x x) |
(fma.f64 (+.f64 (/.f64 z x) (/.f64 y x)) x x) |
(fma.f64 (+.f64 (/.f64 z x) (/.f64 y x)) x x) |
x |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
x |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x) |
x |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
x |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x) |
x |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) x) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) x) #s(literal 1 binary64)) x) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 3 binary64)))) x) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z y) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z y) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z y) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x))) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) x)) (neg.f64 x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64)) x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 x)) (fma.f64 z (cos.f64 y) (sin.f64 y))) x) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 291 |
| 0 | 77 | 289 |
| 1 | 345 | 287 |
| 2 | 2759 | 287 |
| 0 | 8456 | 272 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
#s(approx (cos y) #s(literal 1 binary64)) |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
(+.f64 (+.f64 z y) x) |
(+.f64 z y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
#s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x))) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x)) |
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) |
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
(*.f64 #s(literal -1/6 binary64) y) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y) |
| Outputs |
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Compiled 32 491 to 1 940 computations (94% saved)
34 alts after pruning (29 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 848 | 13 | 861 |
| Fresh | 3 | 16 | 19 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 853 | 34 | 887 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| ▶ | 71.6% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) |
| 60.7% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| ▶ | 42.7% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
| 13.8% | (pow.f64 (*.f64 #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -1 binary64))) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -1 binary64)))) #s(literal -1/2 binary64)) | |
| 50.0% | (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64)) | |
| ✓ | 45.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) |
| ▶ | 27.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z))) |
| 28.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z))) | |
| 54.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)))) | |
| 45.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))) | |
| 39.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 45.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))))) | |
| 55.1% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) | |
| 57.4% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) | |
| 40.7% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) x)) | |
| ✓ | 61.7% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
| 54.7% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x)) | |
| 45.6% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) | |
| ▶ | 59.9% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x)) |
| 45.8% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) | |
| 30.7% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y))) | |
| ▶ | 35.7% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) |
| ✓ | 55.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
| 32.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) #s(approx (/ (+ (* 1/2 z) (/ -1 y)) y) (/.f64 (/.f64 #s(literal -1 binary64) y) y))) (*.f64 y y))) y (+.f64 z x))) | |
| 54.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) | |
| 51.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) | |
| 29.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) | |
| 29.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) | |
| ✓ | 66.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 46.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x))) | |
| 27.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) | |
| 57.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) | |
| 54.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
Compiled 1 503 to 1 081 computations (28.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | #s(approx (+ (sin y) x) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| cost-diff | 0 | #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z) | |
| cost-diff | 0 | #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z))) | |
| cost-diff | 0 | #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) | |
| cost-diff | 0 | (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x)) | |
| cost-diff | 896 | (fma.f64 (/.f64 y z) z z) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | #s(approx (+ (+ z y) x) (+.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | #s(approx (+ (sin y) x) (+.f64 x y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 243 |
| 0 | 52 | 243 |
| 1 | 80 | 235 |
| 2 | 105 | 231 |
| 3 | 147 | 223 |
| 4 | 155 | 223 |
| 5 | 253 | 223 |
| 6 | 652 | 223 |
| 7 | 2133 | 223 |
| 8 | 3178 | 223 |
| 9 | 3285 | 223 |
| 10 | 3380 | 223 |
| 11 | 3476 | 223 |
| 12 | 3591 | 223 |
| 13 | 4441 | 223 |
| 14 | 6514 | 223 |
| 0 | 8029 | 219 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) |
(cos.f64 y) |
y |
z |
#s(approx (+ (sin y) x) (+.f64 x y)) |
(+.f64 x y) |
x |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) |
#s(approx (+ (+ z y) x) (+.f64 x y)) |
(+.f64 x y) |
x |
y |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x)) |
(+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x) |
#s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) |
(fma.f64 (/.f64 y z) z z) |
(/.f64 y z) |
y |
z |
x |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z)) |
(/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z) |
#s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
z |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(approx (+ (sin y) x) (sin.f64 y)) |
(sin.f64 y) |
y |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) |
(cos.f64 y) |
y |
z |
#s(approx (+ (sin y) x) (+.f64 x y)) |
(+.f64 x y) |
x |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) |
#s(approx (+ (+ z y) x) (+.f64 x y)) |
(+.f64 x y) |
x |
y |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (+.f64 z y)) x)) |
(+.f64 #s(approx (+ z y) (+.f64 z y)) x) |
#s(approx (+ z y) (+.f64 z y)) |
(+.f64 z y) |
(/.f64 y z) |
y |
z |
x |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z)) |
(/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z) |
#s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
z |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(approx (+ (sin y) x) (sin.f64 y)) |
(sin.f64 y) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.046875 | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| accuracy | 28.31877356352622 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 39.64279962613605 | #s(approx (+ (sin y) x) (sin.f64 y)) | |
| accuracy | 0.1640625 | (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z) | |
| accuracy | 0.203125 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z))) | |
| accuracy | 31.39814619488175 | #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) | |
| accuracy | 34.54224521678977 | #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z)) | |
| accuracy | 0 | (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x) | |
| accuracy | 0 | #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) | |
| accuracy | 7.483632171643356 | (fma.f64 (/.f64 y z) z z) | |
| accuracy | 24.262106631107187 | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x)) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 23.33451775736875 | #s(approx (+ (+ z y) x) (+.f64 x y)) | |
| accuracy | 24.262106631107187 | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.046875 | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) | |
| accuracy | 22.576274346215545 | #s(approx (+ (sin y) x) (+.f64 x y)) |
| 156.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 391 to 64 computations (83.6% saved)
ival-div: 48.0ms (39% of total)ival-mult: 35.0ms (28.4% of total)ival-add: 17.0ms (13.8% of total)ival-cos: 12.0ms (9.7% of total)ival-sin: 6.0ms (4.9% of total)ival-pow: 4.0ms (3.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (sin y) x) (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (+ z y) x) (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 y z) z z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (sin y) x) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ z y) x) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ z y) x) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ z y) x) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ z y) x) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 y z) z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 y z) z z) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ x y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ (* (/ y z) z) z) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (/ 1 (cos y)) z) (/ 1 (cos y)) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y)) |
| 1.0ms | y | @ | -inf | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ x y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ (* (/ y z) z) z) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (/ 1 (cos y)) z) (/ 1 (cos y)) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y)) |
| 1.0ms | z | @ | 0 | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ x y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ (* (/ y z) z) z) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (/ 1 (cos y)) z) (/ 1 (cos y)) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y)) |
| 1.0ms | y | @ | inf | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ x y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ (* (/ y z) z) z) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (/ 1 (cos y)) z) (/ 1 (cos y)) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y)) |
| 1.0ms | z | @ | inf | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ x y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ (* (/ y z) z) z) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (/ 1 (cos y)) z) (/ 1 (cos y)) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 343 | 4301 |
| 1 | 1017 | 4273 |
| 2 | 3030 | 4067 |
| 0 | 8192 | 3797 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x y) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x y) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ x (sin y))) |
(+ (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4))) (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(/ 1 (* z (cos y))) |
(/ (+ (* -1 (/ (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z) |
(/ (- (+ (/ 1 (cos y)) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z) |
(/ (- (+ (* -1 (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 3) (pow (cos y) 2)))) (/ 1 (cos y))) (+ (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))))) z) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (cos y))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (pow (cos y) 2))) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (cos y))) z)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(/ 1 (+ x z)) |
(+ (* -1 (/ y (pow (+ x z) 2))) (/ 1 (+ x z))) |
(+ (* y (- (* y (- (/ 1 (pow (+ x z) 3)) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z))) |
(+ (* y (- (* y (- (+ (* y (- (+ (* -1/2 (/ z (pow (+ x z) 3))) (* 1/6 (/ 1 (pow (+ x z) 2)))) (+ (* 1/2 (/ z (pow (+ x z) 3))) (/ 1 (pow (+ x z) 4))))) (/ 1 (pow (+ x z) 3))) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z))) |
(/ 1 z) |
(+ (* 1/2 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (+ (* 5/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 61/720 (/ (pow y 2) z)) (* 5/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
1 |
(+ 1 (* 1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2))))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (cos y)) |
(/ 1 (cos y)) |
(/ 1 (cos y)) |
(/ 1 (cos y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
y |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
y |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (cos y)) |
(/ 1 (cos y)) |
(/ 1 (cos y)) |
(/ 1 (cos y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ y z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ y z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ (sin y) (* z (cos y)))) |
(+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 2))) (/ 1 (+ (sin y) (* z (cos y))))) |
(+ (* x (- (/ x (pow (+ (sin y) (* z (cos y))) 3)) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 4))) (/ 1 (pow (+ (sin y) (* z (cos y))) 3)))) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y))))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x) |
(/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x)))) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(/ 1 x) |
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 3) x) (pow (+ (sin y) (* z (cos y))) 2)) x)) (+ (sin y) (* z (cos y)))) x)) 1) x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
| Outputs |
|---|
(+.f64 x (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(+.f64 x (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(+.f64 x y) |
(+.f64 (+.f64 z y) x) |
(+.f64 (+.f64 z y) x) |
(+.f64 (+.f64 z y) x) |
y |
(+.f64 z y) |
(+.f64 z y) |
(+.f64 z y) |
(+.f64 x (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(+.f64 x y) |
(+.f64 (+.f64 z y) x) |
(+.f64 (+.f64 z y) x) |
(+.f64 (+.f64 z y) x) |
y |
(+.f64 z y) |
(+.f64 z y) |
(+.f64 z y) |
(+.f64 x (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) (/.f64 z (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64))) z (/.f64 (neg.f64 (cos.f64 y)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 z (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)))) z (/.f64 (neg.f64 (cos.f64 y)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
(+.f64 x (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
z |
(fma.f64 (+.f64 (/.f64 y z) (/.f64 x z)) z z) |
(fma.f64 (+.f64 (/.f64 y z) (/.f64 x z)) z z) |
(fma.f64 (+.f64 (/.f64 y z) (/.f64 x z)) z z) |
z |
(fma.f64 (/.f64 y z) z z) |
(fma.f64 (/.f64 y z) z z) |
(fma.f64 (/.f64 y z) z z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
z |
(fma.f64 (+.f64 (/.f64 y z) (/.f64 x z)) z z) |
(fma.f64 (+.f64 (/.f64 y z) (/.f64 x z)) z z) |
(fma.f64 (+.f64 (/.f64 y z) (/.f64 x z)) z z) |
z |
(fma.f64 (/.f64 y z) z z) |
(fma.f64 (/.f64 y z) z z) |
(fma.f64 (/.f64 y z) z z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) z) |
(/.f64 (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) z) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) z) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) z) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y)) z) |
(*.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y)) z) |
(*.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y)) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y)) z) |
(*.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y)) z) |
(*.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 y)) z) (cos.f64 y)) z) |
z |
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(*.f64 (neg.f64 z) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))) |
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(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(sin.f64 y) |
(+.f64 x (sin.f64 y)) |
(+.f64 x (sin.f64 y)) |
(+.f64 x (sin.f64 y)) |
x |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
x |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
x |
(fma.f64 (/.f64 y x) x x) |
(fma.f64 (/.f64 y x) x x) |
(fma.f64 (/.f64 y x) x x) |
x |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
x |
(fma.f64 (+.f64 (/.f64 z x) (/.f64 y x)) x x) |
(fma.f64 (+.f64 (/.f64 z x) (/.f64 y x)) x x) |
(fma.f64 (+.f64 (/.f64 z x) (/.f64 y x)) x x) |
x |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
x |
(fma.f64 (+.f64 (/.f64 z x) (/.f64 y x)) x x) |
(fma.f64 (+.f64 (/.f64 z x) (/.f64 y x)) x x) |
(fma.f64 (+.f64 (/.f64 z x) (/.f64 y x)) x x) |
x |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) x) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 3 binary64)))) x) |
x |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
x |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z y) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z y) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z y) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z y) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z y) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z y) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x))) x) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 3 binary64)))) x) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
x |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 213 |
| 0 | 52 | 209 |
| 1 | 229 | 205 |
| 2 | 1632 | 201 |
| 0 | 8390 | 193 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) |
(cos.f64 y) |
#s(approx (+ (sin y) x) (+.f64 x y)) |
(+.f64 x y) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) |
#s(approx (+ (+ z y) x) (+.f64 x y)) |
(fma.f64 (/.f64 y z) z z) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x)) |
(+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x) |
#s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z))) |
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z)) |
(/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z) |
#s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (+ (sin y) x) (sin.f64 y)) |
(sin.f64 y) |
| Outputs |
|---|
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Compiled 20 098 to 1 345 computations (93.3% saved)
34 alts after pruning (24 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 719 | 2 | 721 |
| Fresh | 2 | 22 | 24 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 721 | 34 | 755 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| ✓ | 71.6% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) |
| 60.7% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| 55.1% | (fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (+ (sin y) x) (+.f64 x y))) | |
| ✓ | 42.7% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
| 13.8% | (pow.f64 (*.f64 #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -1 binary64))) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -1 binary64)))) #s(literal -1/2 binary64)) | |
| 50.0% | (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64)) | |
| ✓ | 45.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) |
| ✓ | 27.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z))) |
| 28.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z))) | |
| 54.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)))) | |
| 45.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))) | |
| 39.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 45.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))))) | |
| 57.4% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) | |
| ✓ | 61.7% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
| 54.7% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x)) | |
| 45.6% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) | |
| ✓ | 59.9% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x)) |
| 45.8% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) | |
| 30.7% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y))) | |
| ✓ | 35.7% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) |
| 16.0% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))))) | |
| ✓ | 55.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
| 32.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) #s(approx (/ (+ (* 1/2 z) (/ -1 y)) y) (/.f64 (/.f64 #s(literal -1 binary64) y) y))) (*.f64 y y))) y (+.f64 z x))) | |
| 54.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) | |
| 51.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) | |
| 29.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) | |
| 29.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) | |
| ✓ | 66.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 46.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x))) | |
| 27.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) | |
| 57.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) | |
| 54.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
Compiled 1 982 to 809 computations (59.2% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (+ (sin y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) #s(approx (/ (+ (* 1/2 z) (/ -1 y)) y) (/.f64 (/.f64 #s(literal -1 binary64) y) y))) (*.f64 y y))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))))) |
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -1 binary64))) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -1 binary64)))) #s(literal -1/2 binary64)) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
4 calls:
| 56.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 33.0ms | z |
| 16.0ms | y |
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (+ (sin y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) #s(approx (/ (+ (* 1/2 z) (/ -1 y)) y) (/.f64 (/.f64 #s(literal -1 binary64) y) y))) (*.f64 y y))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) |
| Outputs |
|---|
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
4 calls:
| 43.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 30.0ms | y |
| 12.0ms | x |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 3 | x |
| 88.0% | 3 | y |
| 90.9% | 3 | z |
| 87.6% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (+ (sin y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) #s(approx (/ (+ (* 1/2 z) (/ -1 y)) y) (/.f64 (/.f64 #s(literal -1 binary64) y) y))) (*.f64 y y))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) |
2 calls:
| 29.0ms | z |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.9% | 3 | z |
| 81.5% | 1 | x |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (+ (sin y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) #s(approx (/ (+ (* 1/2 z) (/ -1 y)) y) (/.f64 (/.f64 #s(literal -1 binary64) y) y))) (*.f64 y y))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) |
1 calls:
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.9% | 3 | z |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (+ (sin y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) #s(approx (/ (+ (* 1/2 z) (/ -1 y)) y) (/.f64 (/.f64 #s(literal -1 binary64) y) y))) (*.f64 y y))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
1 calls:
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.7% | 3 | z |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (+ (sin y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) #s(approx (/ (+ (* 1/2 z) (/ -1 y)) y) (/.f64 (/.f64 #s(literal -1 binary64) y) y))) (*.f64 y y))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
3 calls:
| 27.0ms | z |
| 10.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 82.4% | 4 | y |
| 88.9% | 5 | z |
Compiled 11 to 14 computations (-27.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (+ (sin y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) #s(approx (/ (+ (* 1/2 z) (/ -1 y)) y) (/.f64 (/.f64 #s(literal -1 binary64) y) y))) (*.f64 y y))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
3 calls:
| 26.0ms | z |
| 12.0ms | y |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 3 | y |
| 69.3% | 3 | x |
| 79.8% | 3 | z |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (+ (sin y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) #s(approx (/ (+ (* 1/2 z) (/ -1 y)) y) (/.f64 (/.f64 #s(literal -1 binary64) y) y))) (*.f64 y y))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
3 calls:
| 11.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 10.0ms | z |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.0% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 66.0% | 1 | z |
| 70.3% | 3 | y |
Compiled 11 to 14 computations (-27.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.2% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
1 calls:
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.0% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.0% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
Total -40.3b remaining (-185.1%)
Threshold costs -40.3b (-185.1%)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 x y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
3 calls:
| 2.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.0% | 1 | x |
| 66.0% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 66.0% | 1 | y |
Compiled 11 to 14 computations (-27.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 2.8058657054963443e+40 | 2.99520320317134e+41 |
| 48.0ms | -4.0477452062703534e-66 | -7.309807590208201e-72 |
| 23.0ms | 240× | 0 | valid |
Compiled 462 to 383 computations (17.1% saved)
ival-sin: 7.0ms (41.3% of total)ival-cos: 6.0ms (35.4% of total)ival-add: 2.0ms (11.8% of total)ival-mult: 2.0ms (11.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 7.751587312645416e+82 | 2.297629008212355e+91 |
| 37.0ms | -1.9696230247021868e+130 | -3.153280691849443e+117 |
| 48.0ms | 304× | 0 | valid |
Compiled 510 to 464 computations (9% saved)
ival-cos: 22.0ms (55.4% of total)ival-sin: 12.0ms (30.2% of total)ival-add: 3.0ms (7.6% of total)ival-mult: 2.0ms (5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.751587312645416e+82 | 2.297629008212355e+91 |
| 1.0ms | -1.9696230247021868e+130 | -3.153280691849443e+117 |
Compiled 450 to 414 computations (8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 2.297629008212355e+91 | 1.5116600077416852e+107 |
| 1.0ms | -1.9696230247021868e+130 | -3.153280691849443e+117 |
| 18.0ms | 160× | 0 | valid |
Compiled 492 to 454 computations (7.7% saved)
ival-sin: 8.0ms (56.4% of total)ival-cos: 3.0ms (21.1% of total)ival-add: 2.0ms (14.1% of total)ival-mult: 1.0ms (7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.297629008212355e+91 | 1.5116600077416852e+107 |
| 20.0ms | 4.949316099475015e-13 | 1.0612354622103994e-10 |
| 24.0ms | -0.00041099219851352745 | -2.131168530615515e-22 |
| 1.0ms | -1.9696230247021868e+130 | -3.153280691849443e+117 |
| 30.0ms | 272× | 0 | valid |
Compiled 1 011 to 865 computations (14.4% saved)
ival-add: 8.0ms (35.9% of total)ival-sin: 7.0ms (31.4% of total)ival-cos: 5.0ms (22.5% of total)ival-mult: 2.0ms (9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.0008105783715325085 | 81.16568437584831 |
| 28.0ms | -455985450112114.75 | -936.1484432276291 |
| 35.0ms | 304× | 0 | valid |
Compiled 677 to 546 computations (19.4% saved)
ival-sin: 15.0ms (55.4% of total)ival-cos: 7.0ms (25.9% of total)ival-add: 3.0ms (11.1% of total)ival-mult: 2.0ms (7.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 3976.654484503851 | 12019.238041228728 |
| 31.0ms | -5.290264760254665e+43 | -9.182621796786604e+23 |
| 29.0ms | 256× | 0 | valid |
Compiled 604 to 478 computations (20.9% saved)
ival-sin: 9.0ms (40.9% of total)ival-cos: 8.0ms (36.4% of total)ival-add: 3.0ms (13.6% of total)ival-mult: 2.0ms (9.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 70176425193.24568 | 4205058578429158.0 |
| 29.0ms | -5.290264760254665e+43 | -9.182621796786604e+23 |
| 40.0ms | 288× | 0 | valid |
Compiled 658 to 527 computations (19.9% saved)
ival-cos: 16.0ms (49.1% of total)ival-sin: 11.0ms (33.8% of total)ival-add: 3.0ms (9.2% of total)ival-mult: 2.0ms (6.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3976.654484503851 | 12019.238041228728 |
| 2.0ms | -5.290264760254665e+43 | -9.182621796786604e+23 |
Compiled 684 to 542 computations (20.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 9.378502869181713e+72 | 2.3584434071927324e+74 |
| 16.0ms | -455985450112114.75 | -936.1484432276291 |
| 27.0ms | 192× | 0 | valid |
Compiled 488 to 405 computations (17% saved)
ival-sin: 10.0ms (50.6% of total)ival-cos: 6.0ms (30.3% of total)ival-add: 2.0ms (10.1% of total)ival-mult: 1.0ms (5.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 581 |
| 1 | 125 | 581 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(if (<=.f64 x #s(literal -493255773416689/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) (if (<=.f64 x #s(literal 30000000000000002120283904895640175378432 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))))) |
(if (<=.f64 z #s(literal -37999999999999999813506451198497522806119821155608058890309883141639632690239501414392717549460914728186129134412349046784 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))) (if (<=.f64 z #s(literal 44000000000000001748030005636184619352242829430368895000436310182732888853054397307944960 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))))) |
(if (<=.f64 z #s(literal -37999999999999999813506451198497522806119821155608058890309883141639632690239501414392717549460914728186129134412349046784 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 44000000000000001748030005636184619352242829430368895000436310182732888853054397307944960 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))))) |
(if (<=.f64 z #s(literal -37999999999999999813506451198497522806119821155608058890309883141639632690239501414392717549460914728186129134412349046784 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 130000000000000005723571947544438292554521954144678769275685764875122985731145995914860441978030839927144448 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 z #s(literal -37999999999999999813506451198497522806119821155608058890309883141639632690239501414392717549460914728186129134412349046784 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -4984604984193435/166153499473114484112975882535043072 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 4951760157141521/618970019642690137449562112 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 130000000000000005723571947544438292554521954144678769275685764875122985731145995914860441978030839927144448 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))) |
(if (<=.f64 y #s(literal -950 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 607985949695017/2251799813685248 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 y #s(literal -960000000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 6000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -11999999999999999918751838129509892096 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 9000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -960000000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 6200 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -2200 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 9500000000000000544994064783134181012819936339512895317261518991792275456 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(if (<=.f64 x #s(literal -493255773416689/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 x (sin.f64 y))) (if (<=.f64 x #s(literal 30000000000000002120283904895640175378432 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))))) |
(if (<=.f64 z #s(literal -37999999999999999813506451198497522806119821155608058890309883141639632690239501414392717549460914728186129134412349046784 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))) (if (<=.f64 z #s(literal 44000000000000001748030005636184619352242829430368895000436310182732888853054397307944960 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 x (sin.f64 y))) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))))) |
(if (<=.f64 z #s(literal -37999999999999999813506451198497522806119821155608058890309883141639632690239501414392717549460914728186129134412349046784 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 44000000000000001748030005636184619352242829430368895000436310182732888853054397307944960 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 x (sin.f64 y))) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))))) |
(if (<=.f64 z #s(literal -37999999999999999813506451198497522806119821155608058890309883141639632690239501414392717549460914728186129134412349046784 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 130000000000000005723571947544438292554521954144678769275685764875122985731145995914860441978030839927144448 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 x (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 z #s(literal -37999999999999999813506451198497522806119821155608058890309883141639632690239501414392717549460914728186129134412349046784 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -4984604984193435/166153499473114484112975882535043072 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 z #s(literal 4951760157141521/618970019642690137449562112 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 130000000000000005723571947544438292554521954144678769275685764875122985731145995914860441978030839927144448 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))) |
(if (<=.f64 y #s(literal -950 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 607985949695017/2251799813685248 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))))) |
(if (<=.f64 y #s(literal -960000000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 6000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
(if (<=.f64 y #s(literal -11999999999999999918751838129509892096 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 9000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
(if (<=.f64 y #s(literal -960000000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 6200 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
(if (<=.f64 y #s(literal -2200 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 9500000000000000544994064783134181012819936339512895317261518991792275456 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 291 |
| 0 | 77 | 289 |
| 1 | 345 | 287 |
| 2 | 2759 | 287 |
| 0 | 8456 | 272 |
| 0 | 109 | 647 |
| 1 | 310 | 643 |
| 2 | 846 | 633 |
| 3 | 2177 | 631 |
| 4 | 4214 | 631 |
| 5 | 7319 | 631 |
| 0 | 8042 | 578 |
| 0 | 401 | 4590 |
| 1 | 1195 | 4489 |
| 2 | 3764 | 4360 |
| 0 | 8230 | 4014 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 43 | 21 |
| 2 | 362 | 21 |
| 3 | 5548 | 21 |
| 0 | 8320 | 20 |
| 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× | node limit |
| 1× | iter limit |
Compiled 950 to 377 computations (60.3% saved)
Compiled 1 180 to 244 computations (79.3% saved)
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