
Time bar (total: 8.3s)
| 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)
| 1.5s | 8 256× | 0 | valid |
ival-cos: 527.0ms (43.8% of total)ival-sin: 406.0ms (33.8% of total)ival-mult: 203.0ms (16.9% of total)ival-add: 55.0ms (4.6% of total)ival-true: 7.0ms (0.6% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| 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 |
| 52.0ms | 512× | 0 | valid |
Compiled 85 to 36 computations (57.6% saved)
ival-cos: 11.0ms (31.3% of total)ival-sin: 11.0ms (31.3% of total)ival-mult: 7.0ms (19.9% of total)ival-add: 5.0ms (14.2% of total)ival-true: 1.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 87 |
| 1 | 79 | 81 |
| 2 | 139 | 81 |
| 3 | 307 | 81 |
| 4 | 458 | 81 |
| 5 | 688 | 81 |
| 6 | 861 | 81 |
| 7 | 947 | 81 |
| 8 | 1025 | 81 |
| 9 | 1091 | 81 |
| 10 | 1105 | 81 |
| 11 | 1110 | 81 |
| 12 | 1112 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 16 | 9 |
| 0 | 16 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 x (cos.f64 y)) | |
| cost-diff | 128 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 16 | 24 |
| 0 | 16 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.01171875 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.109375 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.12890625 | (*.f64 z (sin.f64 y)) |
| 32.0ms | 256× | 0 | valid |
Compiled 50 to 18 computations (64% saved)
ival-cos: 6.0ms (36.1% of total)ival-sin: 6.0ms (36.1% of total)ival-mult: 4.0ms (24.1% of total)ival-add: 1.0ms (6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (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 0 y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x (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 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x (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 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | y | @ | inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | x | @ | inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | x | @ | 0 | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 620 |
| 1 | 295 | 616 |
| 2 | 891 | 610 |
| 3 | 2075 | 604 |
| 4 | 3736 | 604 |
| 5 | 6393 | 604 |
| 0 | 8811 | 554 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
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))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
| Outputs |
|---|
(*.f64 (cos.f64 y) x) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
x |
(fma.f64 z y x) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
x |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(*.f64 x (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 (*.f64 (*.f64 y y) x) (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)) x) |
#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 z y) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(*.f64 z (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 5 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 29 | 19 |
| 2 | 185 | 19 |
| 3 | 1836 | 19 |
| 0 | 8386 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
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Compiled 8 799 to 565 computations (93.6% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 254 | 16 | 270 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 255 | 16 | 271 |
| Status | Accuracy | Program |
|---|---|---|
| 82.2% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| ▶ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 82.3% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| 55.5% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| 55.9% | (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) | |
| ▶ | 35.7% | (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
| 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) | |
| 28.3% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| 77.6% | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| ▶ | 55.8% | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) |
| 35.7% | (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) | |
| 50.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) | |
| 50.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) | |
| ▶ | 52.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| ▶ | 43.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
| 58.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
Compiled 746 to 452 computations (39.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) | |
| cost-diff | 0 | (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) | |
| cost-diff | 128 | (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) | |
| cost-diff | 128 | (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| cost-diff | 27712 | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) z) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) | |
| cost-diff | 0 | (fma.f64 z y x) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) x) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 287 |
| 0 | 53 | 266 |
| 1 | 95 | 265 |
| 2 | 233 | 263 |
| 3 | 819 | 263 |
| 4 | 2230 | 263 |
| 5 | 5281 | 263 |
| 6 | 7285 | 263 |
| 0 | 8126 | 263 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
z |
y |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) |
(neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))) |
#s(literal 1 binary64) |
(neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) |
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
(fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(sin.f64 y) |
y |
z |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
z |
y |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
y |
z |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
y |
z |
#s(literal 2 binary64) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) |
#s(literal 1 binary64) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
y |
z |
#s(literal 3 binary64) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
(fma.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12890625 | (*.f64 (sin.f64 y) z) | |
| accuracy | 0.23835761722130416 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) | |
| accuracy | 3.6952918583020584 | (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) | |
| accuracy | 40.14708447045622 | (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| accuracy | 0.17578125 | (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))) | |
| accuracy | 0.22722626953688402 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) | |
| accuracy | 2.6445209291510294 | (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) | |
| accuracy | 28.005736521546293 | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.12890625 | (*.f64 (sin.f64 y) z) | |
| accuracy | 35.89220862214785 | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) | |
| accuracy | 0 | (fma.f64 z y x) | |
| accuracy | 30.6084465684528 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0703125 | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.109375 | (*.f64 (cos.f64 y) x) |
| 75.0ms | 256× | 0 | valid |
Compiled 570 to 64 computations (88.8% saved)
ival-mult: 11.0ms (20.1% of total)ival-pow: 9.0ms (16.4% of total)ival-sin: 8.0ms (14.6% of total)ival-pow2: 8.0ms (14.6% of total)ival-add: 6.0ms (10.9% of total)ival-cos: 5.0ms (9.1% of total)ival-div: 3.0ms (5.5% of total)ival-sub: 2.0ms (3.6% of total)ival-neg: 2.0ms (3.6% 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 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 z y x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | x | @ | 0 | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (neg (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (pow (* (sin y) z) 2) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) |
| 8.0ms | z | @ | -inf | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (neg (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (pow (* (sin y) z) 2) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) |
| 7.0ms | y | @ | -inf | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (neg (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (pow (* (sin y) z) 2) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) |
| 7.0ms | z | @ | 0 | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (neg (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (pow (* (sin y) z) 2) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) |
| 7.0ms | y | @ | inf | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (neg (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (pow (* (sin y) z) 2) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 643 | 6658 |
| 1 | 2226 | 6271 |
| 0 | 8444 | 5967 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* (pow x 2) (pow (cos y) 2)) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(* (pow x 3) (pow (cos y) 3)) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(/ 1 (* x (cos y))) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* y z) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z)))) |
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3))) |
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3))) |
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3))) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(/ -1 (* z (sin y))) |
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z))))) |
(* (pow z 3) (pow (sin y) 3)) |
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3))))) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(/ -1 (* z (sin y))) |
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
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 |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
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 z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
x |
(+ x (* y z)) |
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z)))) |
(pow x 2) |
(+ (* (pow y 2) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (+ (* 1/3 (pow x 2)) (* (pow y 2) (- (* -2/45 (pow x 2)) (* 2/45 (pow z 2))))) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2)) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(* -1 (pow x 2)) |
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2)) |
x |
(+ x (* y z)) |
(+ x (* y (- (* y (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -3/2 x) (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1 (/ (* z (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) x)) (+ (/ (* z (+ (* -1 (pow x 2)) (pow z 2))) (pow x 2)) (/ (* z (+ (* 1/6 x) (* 1/2 x))) x)))))) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) (* -1 z)))) |
(pow x 3) |
(+ (* -3/2 (* (pow x 3) (pow y 2))) (pow x 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow x 3)) (* y (pow z 3)))) (pow x 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow x 3)) (* y (+ (* 7/8 (* (pow x 3) y)) (pow z 3))))) (pow x 3)) |
(* (pow y 3) (pow z 3)) |
(* (pow y 3) (+ (* -1/2 (* (pow y 2) (pow z 3))) (pow z 3))) |
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow z 3)) (* 13/120 (* (pow y 2) (pow z 3))))) (pow z 3))) |
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow z 3)) (* (pow y 2) (+ (* -41/3024 (* (pow y 2) (pow z 3))) (* 13/120 (pow z 3)))))) (pow z 3))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2))) |
(/ 1 x) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (- (* x (cos y)) (* z (sin y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (- (* x (cos y)) (* z (sin y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (- (* x (cos y)) (* z (sin y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (- (* x (cos y)) (* z (sin y)))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (- (* x (cos y)) (* z (sin y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (- (* x (cos y)) (* z (sin y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (- (* x (cos y)) (* z (sin y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (- (* x (cos y)) (* z (sin y)))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* (pow z 2) (pow (sin y) 2)) |
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2))) |
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2))) |
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y)))) (* z (sin y))) |
(+ (* x (- (* x (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* z (sin y)))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y)))) (* z (sin y))) |
(* (pow z 3) (pow (sin y) 3)) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(/ -1 (* z (sin y))) |
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* -1 (* (pow x 2) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (* -1 (/ (* z (sin y)) x)))) |
(* x (- (+ (cos y) (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* (pow x 3) (cos y))))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (+ (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)) (pow (cos y) 3))) |
(* (pow x 3) (+ (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)) (pow (cos y) 3))) |
(* (pow x 3) (+ (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)) (pow (cos y) 3))) |
(/ 1 (* x (cos y))) |
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* (pow x 2) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x))))) |
(* (pow x 3) (pow (cos y) 3)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3))))) |
(/ 1 (* x (cos y))) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
| Outputs |
|---|
(*.f64 (cos.f64 y) x) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
x |
(fma.f64 z y x) |
(fma.f64 z y x) |
(fma.f64 z y x) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
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(/.f64 (-.f64 (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 187 |
| 0 | 53 | 140 |
| 1 | 214 | 139 |
| 2 | 1520 | 139 |
| 0 | 8394 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) |
(neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))) |
| Outputs |
|---|
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Compiled 74 250 to 3 454 computations (95.3% saved)
25 alts after pruning (22 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 951 | 19 | 1 970 |
| Fresh | 8 | 3 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 961 | 25 | 1 986 |
| Status | Accuracy | Program |
|---|---|---|
| 82.2% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| 49.3% | (fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) | |
| 76.8% | (fma.f64 (sin.f64 y) z (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) x)) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 77.6% | (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 82.3% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
| 28.2% | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z) (*.f64 (cos.f64 y) x))))) | |
| 30.2% | (*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) | |
| ▶ | 20.8% | (*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) |
| 50.6% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) | |
| 84.2% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)) | |
| ▶ | 88.4% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) |
| 58.3% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) | |
| ▶ | 50.6% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
| ✓ | 52.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 21.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) | |
| 52.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) | |
| 22.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64))) z)) | |
| ✓ | 43.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
| 43.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) | |
| ▶ | 19.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| 19.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| 19.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) | |
| 45.4% | #s(approx (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
Compiled 1 304 to 808 computations (38% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) | |
| cost-diff | 128 | (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) | |
| cost-diff | 320 | (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) | |
| cost-diff | 320 | (*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) | |
| cost-diff | 0 | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (+ (* z y) x) (*.f64 z y)) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 345 |
| 0 | 92 | 338 |
| 1 | 155 | 329 |
| 2 | 327 | 325 |
| 3 | 890 | 325 |
| 4 | 2071 | 323 |
| 5 | 3923 | 323 |
| 6 | 6623 | 323 |
| 0 | 8157 | 320 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(literal -1 binary64) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal -1/6 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) |
(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) |
(cos.f64 y) |
y |
(/.f64 x z) |
x |
z |
(sin.f64 y) |
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) |
#s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))) |
#s(literal 1 binary64) |
(neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) |
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) |
(*.f64 (sin.f64 y) z) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
| Outputs |
|---|
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(sin.f64 y) |
y |
z |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(literal -1 binary64) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal -1/6 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(cos.f64 y) |
y |
(/.f64 x z) |
x |
z |
(sin.f64 y) |
(/.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) |
#s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) |
#s(literal 1 binary64) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.28125 | (pow.f64 (sin.f64 y) #s(literal 2 binary64)) | |
| accuracy | 9.764411112761357 | (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) | |
| accuracy | 28.005736521546293 | (*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) | |
| accuracy | 33.37656858435149 | #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0 | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) | |
| accuracy | 0.2401159100033448 | (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) | |
| accuracy | 7.169909565892739 | (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) | |
| accuracy | 0.0234375 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) | |
| accuracy | 0.046875 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) | |
| accuracy | 0.16015625 | (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 31.587600886689128 | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 28.969285714666892 | #s(approx (+ (* z y) x) (*.f64 z y)) | |
| accuracy | 30.6084465684528 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) | |
| accuracy | 0.0703125 | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.109375 | (*.f64 (cos.f64 y) x) | |
| accuracy | 0.18359375 | (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| accuracy | 0.234375 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
| 163.0ms | 256× | 0 | valid |
Compiled 645 to 111 computations (82.8% saved)
ival-sub: 30.0ms (25.3% of total)ival-mult: 28.0ms (23.6% of total)ival-add: 15.0ms (12.7% of total)ival-pow: 12.0ms (10.1% of total)ival-div: 7.0ms (5.9% of total)ival-sin: 7.0ms (5.9% of total)ival-pow2: 7.0ms (5.9% of total)ival-cos: 5.0ms (4.2% of total)const: 4.0ms (3.4% of total)ival-neg: 3.0ms (2.5% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cos.f64 y) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | z | @ | 0 | ((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (* (* (neg z) z) (pow (sin y) 2)) (neg (- (* (sin y) z) (* (cos y) x))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (* (cos y) x) (pow (sin y) 2)) |
| 8.0ms | y | @ | -inf | ((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (* (* (neg z) z) (pow (sin y) 2)) (neg (- (* (sin y) z) (* (cos y) x))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (* (cos y) x) (pow (sin y) 2)) |
| 6.0ms | z | @ | -inf | ((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (* (* (neg z) z) (pow (sin y) 2)) (neg (- (* (sin y) z) (* (cos y) x))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (* (cos y) x) (pow (sin y) 2)) |
| 6.0ms | y | @ | inf | ((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (* (* (neg z) z) (pow (sin y) 2)) (neg (- (* (sin y) z) (* (cos y) x))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (* (cos y) x) (pow (sin y) 2)) |
| 4.0ms | z | @ | inf | ((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (* (* (neg z) z) (pow (sin y) 2)) (neg (- (* (sin y) z) (* (cos y) x))) (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (* (cos y) x) (pow (sin y) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 707 | 7659 |
| 1 | 2423 | 7219 |
| 0 | 8789 | 6756 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(/ 1 (* x (cos y))) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(* -1/2 (* x y)) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(* -1/2 x) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(/ (* x (cos y)) z) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* (pow x 2) (pow (cos y) 2)) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ 1 (* z (sin y))) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* y z) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(* -1/6 (* y z)) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z)))) |
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))) |
(sin y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(/ 1 (* z (sin y))) |
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(* -1/6 (* y z)) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z))))) |
(sin y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
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(sin y) |
(sin y) |
(sin y) |
(sin y) |
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(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
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(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
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(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
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(sin y) |
(sin y) |
(sin y) |
(sin y) |
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(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
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(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
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(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
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(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
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(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
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(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
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(+ (sin y) (/ (* x (cos y)) z)) |
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x |
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(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
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(* x (cos y)) |
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(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (* -1 (/ (* z (sin y)) x)))) |
(* x (- (+ (cos y) (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* (pow x 3) (cos y))))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(/ (* x (cos y)) z) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(/ 1 (* x (cos y))) |
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1/2 (* x y)) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(* -1/2 x) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x))))) |
(/ (* x (cos y)) z) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
| Outputs |
|---|
(*.f64 (cos.f64 y) x) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(fma.f64 (/.f64 (neg.f64 z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
x |
(fma.f64 z y x) |
(fma.f64 z y x) |
(fma.f64 z y x) |
(*.f64 z y) |
(*.f64 z y) |
(*.f64 z y) |
(*.f64 z y) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)) |
(*.f64 (*.f64 x y) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(*.f64 #s(literal -1/2 binary64) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y)) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (*.f64 (sin.f64 y) (/.f64 #s(literal 0 binary64) (cos.f64 y))) #s(literal 0 binary64)) z (sin.f64 y)) z (*.f64 (cos.f64 y) x)) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) z) |
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) z) |
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) z) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 y) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z))) z) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 (neg.f64 x) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)) z) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x z) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 z y) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(*.f64 z y) |
(*.f64 z y) |
(*.f64 z y) |
(*.f64 z y) |
(*.f64 (sin.f64 y) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y (/.f64 x z))) #s(literal -1/2 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z))) z) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y (/.f64 x z))) #s(literal -1/2 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z))) z) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y (/.f64 x z))) #s(literal -1/2 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z))) z) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) z) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) z) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) z) |
(*.f64 #s(literal -1/6 binary64) (*.f64 z y)) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 0 binary64)) (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))) z) |
(sin.f64 y) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 x (/.f64 x z))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 x (/.f64 x z))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 x (/.f64 x z))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(*.f64 (sin.f64 y) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
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(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
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(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x)) x) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) x))))) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
x |
(fma.f64 (/.f64 (*.f64 z y) x) x x) |
(fma.f64 (/.f64 (*.f64 z y) x) x x) |
(fma.f64 (/.f64 (*.f64 z y) x) x x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x) |
(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) x)) x x) |
(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) x)) x x) |
(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) x)) x x) |
(*.f64 (*.f64 x y) #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (*.f64 y (/.f64 (*.f64 z y) x)) #s(literal -1/6 binary64) (/.f64 z x))) x) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (*.f64 y (/.f64 (*.f64 z y) x)) #s(literal -1/6 binary64) (/.f64 z x))) x) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (*.f64 y (/.f64 (*.f64 z y) x)) #s(literal -1/6 binary64) (/.f64 z x))) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) x) |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) x) |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (*.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal 0 binary64)) (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) x) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) x) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) x) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) x) (*.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
x |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 x)) |
(*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 x)) |
(*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 x)) |
(*.f64 (*.f64 x y) #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (neg.f64 x))) (neg.f64 x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (neg.f64 x))) (neg.f64 x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (neg.f64 x))) (neg.f64 x)) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (*.f64 (sin.f64 y) (/.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 (sin.f64 y) z))) x) (cos.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(*.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 y)) x) (/.f64 (cos.f64 y) z)) (neg.f64 x)) |
(*.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 y)) x) (/.f64 (cos.f64 y) z)) (neg.f64 x)) |
(*.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 y)) x) (/.f64 (cos.f64 y) z)) (neg.f64 x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 273 |
| 0 | 92 | 266 |
| 1 | 338 | 233 |
| 2 | 2297 | 233 |
| 0 | 8954 | 231 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) |
(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) |
(cos.f64 y) |
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) |
#s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
| Outputs |
|---|
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Compiled 61 468 to 3 299 computations (94.6% saved)
38 alts after pruning (34 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 454 | 23 | 1 477 |
| Fresh | 6 | 11 | 17 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 464 | 38 | 1 502 |
| Status | Accuracy | Program |
|---|---|---|
| 82.2% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| 49.3% | (fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 77.6% | (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 46.1% | (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 46.1% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 35.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) | |
| 58.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)))) | |
| 38.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)))) | |
| ▶ | 43.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
| 58.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) | |
| 36.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 30.2% | (*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) | |
| 9.4% | (*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) z) (*.f64 (cos.f64 y) x))))) | |
| 20.8% | (*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (neg (- (* (sin y) z) (* (cos y) x))) (*.f64 (neg.f64 z) (sin.f64 y))))) | |
| 50.6% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) | |
| 64.8% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))) | |
| ▶ | 88.7% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)) |
| ▶ | 88.7% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
| 84.2% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)) | |
| 44.3% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))) z)) | |
| 88.7% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)) (sin.f64 y)) z)) | |
| 69.1% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)) | |
| 58.3% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) | |
| 45.9% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) | |
| 47.3% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) | |
| 32.0% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (/.f64 x z)) z)) | |
| 51.1% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) | |
| 20.5% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (*.f64 y y))) y x)) | |
| 34.1% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) | |
| ▶ | 34.1% | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) |
| ✓ | 52.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 21.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) | |
| 52.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) | |
| ✓ | 43.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
| ✓ | 19.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| ▶ | 19.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
| 19.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
Compiled 2 443 to 1 471 computations (39.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) | |
| cost-diff | 6080 | (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) | |
| cost-diff | 6848 | (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) z) | |
| cost-diff | 0 | #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) | |
| cost-diff | 0 | (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) | |
| cost-diff | 0 | #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) | |
| cost-diff | 0 | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) | |
| cost-diff | 0 | (/.f64 (cos.f64 y) z) | |
| cost-diff | 0 | (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 404 |
| 0 | 90 | 392 |
| 1 | 165 | 392 |
| 2 | 346 | 390 |
| 3 | 823 | 383 |
| 4 | 1631 | 383 |
| 5 | 2743 | 383 |
| 6 | 4340 | 383 |
| 7 | 6671 | 383 |
| 0 | 8272 | 364 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
x |
(sin.f64 y) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/2 binary64) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) |
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
z |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)) |
(*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) |
(pow.f64 z #s(literal -1 binary64)) |
z |
#s(literal -1 binary64) |
(/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) |
(cos.f64 y) |
y |
(pow.f64 x #s(literal -1 binary64)) |
x |
(sin.f64 y) |
| Outputs |
|---|
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
x |
(sin.f64 y) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/2 binary64) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (sin y) z) (*.f64 (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) z))) |
#s(approx (* (sin y) z) (*.f64 (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) z)) |
(*.f64 (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) z) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (*.f64 y y) z) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) |
z |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(pow.f64 z #s(literal -1 binary64)) |
z |
#s(literal -1 binary64) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
(pow.f64 x #s(literal -1 binary64)) |
x |
(sin.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (pow.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.13671875 | (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) | |
| accuracy | 0.236660009768442 | (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) | |
| accuracy | 7.169909565892739 | (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) | |
| accuracy | 0.12890625 | (*.f64 (sin.f64 y) z) | |
| accuracy | 0.1875 | (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) | |
| accuracy | 0.234375 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) | |
| accuracy | 35.89040106944148 | #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) | |
| accuracy | 0.04296875 | (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) | |
| accuracy | 3.2671614714482224 | (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) | |
| accuracy | 31.62551356727223 | #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) | |
| accuracy | 35.89220862214785 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 6.690116656122408 | (*.f64 (*.f64 y y) x) | |
| accuracy | 26.827802683141183 | #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) | |
| accuracy | 31.587600886689128 | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) | |
| accuracy | 0 | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) | |
| accuracy | 0.11328125 | (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) | |
| accuracy | 0.1171875 | (/.f64 (cos.f64 y) z) | |
| accuracy | 7.169909565892739 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
| 201.0ms | 256× | 0 | valid |
Compiled 708 to 123 computations (82.6% saved)
ival-mult: 63.0ms (38.8% of total)ival-div: 34.0ms (21% of total)ival-add: 20.0ms (12.3% of total)ival-pow: 19.0ms (11.7% of total)ival-sin: 7.0ms (4.3% of total)const: 7.0ms (4.3% of total)ival-cos: 6.0ms (3.7% of total)ival-pow2: 2.0ms (1.2% of total)ival-sub: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | -inf | ((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (* (* y y) x) -1/2) x) (* (* y y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (* (sin y) z) (sin y) (/ (cos y) (pow x -1)) (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (* (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* y y) (+ (* 1/120 (* y y)) -1/6) (/ 1 (* (sin y) z)) (pow x -1)) |
| 6.0ms | z | @ | -inf | ((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (* (* y y) x) -1/2) x) (* (* y y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (* (sin y) z) (sin y) (/ (cos y) (pow x -1)) (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (* (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* y y) (+ (* 1/120 (* y y)) -1/6) (/ 1 (* (sin y) z)) (pow x -1)) |
| 6.0ms | y | @ | inf | ((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (* (* y y) x) -1/2) x) (* (* y y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (* (sin y) z) (sin y) (/ (cos y) (pow x -1)) (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (* (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* y y) (+ (* 1/120 (* y y)) -1/6) (/ 1 (* (sin y) z)) (pow x -1)) |
| 4.0ms | y | @ | 0 | ((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (* (* y y) x) -1/2) x) (* (* y y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (* (sin y) z) (sin y) (/ (cos y) (pow x -1)) (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (* (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* y y) (+ (* 1/120 (* y y)) -1/6) (/ 1 (* (sin y) z)) (pow x -1)) |
| 4.0ms | z | @ | inf | ((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (* (* y y) x) -1/2) x) (* (* y y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (* (sin y) z) (sin y) (/ (cos y) (pow x -1)) (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (* (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* y y) (+ (* 1/120 (* y y)) -1/6) (/ 1 (* (sin y) z)) (pow x -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 586 | 7624 |
| 1 | 2016 | 7048 |
| 2 | 7681 | 7038 |
| 0 | 8119 | 6535 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(/ (* x (cos y)) z) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
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(/ (+ (* x (cos y)) (* z (sin y))) z) |
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(sin y) |
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(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
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(sin y) |
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(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
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(sin y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(* z (sin y)) |
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(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
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(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(sin y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(* z (sin y)) |
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(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z))))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
x |
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x |
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x |
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x |
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x |
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(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
x |
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(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
z |
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(+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))) |
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x |
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(/ 1 x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) |
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(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
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(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
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 |
(+ x (* -1/2 (* x (pow y 2)))) |
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(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z)) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
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x |
(+ x (* y z)) |
(+ x (* y (- (* y (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -3/2 x) (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1 (/ (* z (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) x)) (+ (/ (* z (+ (* -1 (pow x 2)) (pow z 2))) (pow x 2)) (/ (* z (+ (* 1/6 x) (* 1/2 x))) x)))))) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) (* -1 z)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(/ 1 (* y z)) |
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* -1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* 1/120 (* (pow y 4) z)) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) |
(* 1/120 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* -1/6 (* (pow y 3) z)) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* 1/120 (* (pow y 4) z)) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) |
(* 1/120 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y)))) (* z (sin y))) |
(+ (* x (- (* x (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* z (sin y)))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y)))) (* z (sin y))) |
(sin y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(/ 1 (* z (sin y))) |
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(sin y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(+ (sin y) (/ (* x (cos y)) z)) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y)))) (* z (sin y))) |
(+ (* x (- (* x (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* z (sin y)))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y)))) (* z (sin y))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (* -1 (/ (* z (sin y)) x)))) |
(* x (- (+ (cos y) (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* (pow x 3) (cos y))))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(/ (* x (cos y)) z) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(/ 1 (* x (cos y))) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(/ (* x (cos y)) z) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (* -1 (/ (* z (sin y)) x)))) |
(* x (- (+ (cos y) (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* (pow x 3) (cos y))))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x))))) |
(/ (* x (cos y)) z) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(/ 1 (* x (cos y))) |
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(/ (* x (cos y)) z) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x))))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
| Outputs |
|---|
(*.f64 (cos.f64 y) x) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y)) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (*.f64 (sin.f64 y) (/.f64 #s(literal 0 binary64) (cos.f64 y))) #s(literal 0 binary64)) z (sin.f64 y)) z (*.f64 (cos.f64 y) x)) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z) |
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z) |
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z) |
(/.f64 (cos.f64 y) z) |
(/.f64 (cos.f64 y) z) |
(/.f64 (cos.f64 y) z) |
(/.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x) |
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x y) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z x)) |
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x y) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z x)) |
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x y) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z x)) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
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(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(*.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 y)) x) (/.f64 (cos.f64 y) z)) (neg.f64 x)) |
(*.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 y)) x) (/.f64 (cos.f64 y) z)) (neg.f64 x)) |
(*.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 y)) x) (/.f64 (cos.f64 y) z)) (neg.f64 x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(*.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (neg.f64 (cos.f64 y))) (*.f64 (sin.f64 y) z))) (neg.f64 x)) (cos.f64 y)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 358 |
| 0 | 90 | 346 |
| 1 | 377 | 292 |
| 2 | 2742 | 292 |
| 0 | 8304 | 280 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x) |
(*.f64 (*.f64 y y) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) |
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
(/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) |
(*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)) |
(*.f64 y y) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(pow.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
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Compiled 49 263 to 2 482 computations (95% saved)
41 alts after pruning (35 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 104 | 20 | 1 124 |
| Fresh | 14 | 15 | 29 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 121 | 41 | 1 162 |
| Status | Accuracy | Program |
|---|---|---|
| 82.2% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| 49.3% | (fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 77.6% | (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 46.1% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 35.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) | |
| 33.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) | |
| 58.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)))) | |
| 43.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) z))) | |
| 43.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (pow.f64 z #s(literal -1 binary64)) (sin.f64 y)))) | |
| 43.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (/.f64 z (pow.f64 (sin.f64 y) #s(literal -1 binary64)))))) | |
| ✓ | 43.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
| 58.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) | |
| 19.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y))))) | |
| 36.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 19.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y)))) | |
| 19.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y)))) | |
| 19.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal 1 binary64) z) y)))) | |
| 30.2% | (*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) | |
| 50.6% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) | |
| 64.8% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))) | |
| 88.7% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x)) (sin.f64 y)) z)) | |
| 90.5% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) | |
| ✓ | 88.7% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
| 88.7% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z)) | |
| 88.7% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)) x (sin.f64 y)) z)) | |
| 88.7% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (+.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)) z)) | |
| 58.3% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) | |
| 45.9% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) | |
| 47.3% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) | |
| 32.0% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 x z)) z)) | |
| 20.5% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (*.f64 y y))) y x)) | |
| 34.1% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) | |
| 2.7% | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (+ (* (* (* y y) x) -1/2) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)))) | |
| ✓ | 52.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 21.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 43.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
| ✓ | 19.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| 19.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 z (*.f64 y y)) z) y))) | |
| 19.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y))) | |
| 19.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
Compiled 3 919 to 1 219 computations (68.9% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (+ (* (* (* y y) x) -1/2) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (/.f64 x z)) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 x z)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 z (*.f64 y y)) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal 1 binary64) z) y)))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (*.f64 y y))) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (pow.f64 z #s(literal -1 binary64)) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) z))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (+.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) x (sin.f64 y)) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (/.f64 z (pow.f64 (sin.f64 y) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)) (sin.f64 y)) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)) x (sin.f64 y)) z)) |
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x)) (sin.f64 y)) z)) |
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (neg (- (* (sin y) z) (* (cos y) x))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64))) z)) |
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) z)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) |
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)))) |
(fma.f64 (sin.f64 y) z (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) z) (*.f64 (cos.f64 y) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) |
#s(approx (* (neg (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (neg (- (* (sin y) z) (* (cos y) x))))) (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z) (*.f64 (cos.f64 y) x))))) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
4 calls:
| 38.0ms | z |
| 29.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 24.0ms | y |
| 24.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (+ (* (* (* y y) x) -1/2) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (/.f64 x z)) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 x z)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 z (*.f64 y y)) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal 1 binary64) z) y)))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (*.f64 y y))) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 (*.f64 (cos.f64 y) x) z)) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
4 calls:
| 55.0ms | x |
| 16.0ms | z |
| 11.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 3 | x |
| 82.9% | 4 | y |
| 89.1% | 3 | z |
| 77.6% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (+ (* (* (* y y) x) -1/2) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (/.f64 x z)) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 x z)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 z (*.f64 y y)) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal 1 binary64) z) y)))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (*.f64 y y))) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
4 calls:
| 36.0ms | y |
| 32.0ms | z |
| 10.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.6% | 3 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 81.6% | 5 | y |
| 74.9% | 3 | z |
| 80.6% | 3 | x |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (+ (* (* (* y y) x) -1/2) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (/.f64 x z)) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 x z)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 z (*.f64 y y)) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal 1 binary64) z) y)))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (*.f64 y y))) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
3 calls:
| 23.0ms | z |
| 22.0ms | x |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.0% | 3 | z |
| 74.9% | 3 | y |
| 69.4% | 3 | x |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (+ (* (* (* y y) x) -1/2) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (/.f64 x z)) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (/.f64 x z)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (sin y) z) (*.f64 z y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 z (*.f64 y y)) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal 1 binary64) z) y)))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (cos y) (/ x z)) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (pow z -1) (/ (cos y) (pow x -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) (*.f64 y y))) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y)))) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
4 calls:
| 19.0ms | x |
| 9.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 9.0ms | y |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.2% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 52.2% | 1 | z |
| 52.2% | 1 | x |
| 52.2% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 19.7% | 1 | y |
| 19.7% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 19.7% | 1 | x |
| 19.7% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 2.99520320317134e+41 | 2.3378014705212747e+62 |
| 38.0ms | -9.423873243069685e+153 | -6.526481622212868e+151 |
| 55.0ms | 288× | 0 | valid |
Compiled 444 to 410 computations (7.7% saved)
ival-mult: 32.0ms (67.1% of total)ival-cos: 7.0ms (14.7% of total)ival-sin: 7.0ms (14.7% of total)ival-add: 1.0ms (2.1% 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 |
|---|---|---|
| 33.0ms | 3.528695574079803e+28 | 4.258655926795692e+31 |
| 25.0ms | -5.772139200411518e-73 | -1.9402543305835266e-76 |
| 48.0ms | 256× | 0 | valid |
Compiled 460 to 398 computations (13.5% saved)
ival-cos: 6.0ms (37.8% of total)ival-sin: 5.0ms (31.5% of total)ival-mult: 3.0ms (18.9% of total)ival-add: 1.0ms (6.3% 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 |
|---|---|---|
| 47.0ms | 0.0008105783715325085 | 81.16568437584831 |
| 28.0ms | -72.1402902541629 | -5.309294607893827e-15 |
| 31.0ms | 304× | 0 | valid |
Compiled 867 to 660 computations (23.9% saved)
ival-mult: 15.0ms (66% of total)ival-cos: 3.0ms (13.2% of total)ival-sin: 3.0ms (13.2% of total)ival-add: 1.0ms (4.4% 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 | 57 | 204 |
| 1 | 65 | 204 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(if (<=.f64 x #s(literal -66000000000000004913278503893525292647078287974039582349968443312374119798109479511869634692552944302162267044557923625558857787122267095627516495265792 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 7499999999999999949157115057712209823462813314580480 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))) |
(if (<=.f64 x #s(literal -3946757204148067/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 110000000000000006409433382912 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))) |
(if (<=.f64 y #s(literal -1261007895663739/18014398509481984 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 5908722711110091/288230376151711744 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
(if (<=.f64 x #s(literal -66000000000000004913278503893525292647078287974039582349968443312374119798109479511869634692552944302162267044557923625558857787122267095627516495265792 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 7499999999999999949157115057712209823462813314580480 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
(if (<=.f64 x #s(literal -3946757204148067/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 110000000000000006409433382912 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
(if (<=.f64 y #s(literal -1261007895663739/18014398509481984 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 5908722711110091/288230376151711744 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 620 |
| 1 | 295 | 616 |
| 2 | 891 | 610 |
| 3 | 2075 | 604 |
| 4 | 3736 | 604 |
| 5 | 6393 | 604 |
| 0 | 8811 | 554 |
| 0 | 643 | 6658 |
| 1 | 2226 | 6271 |
| 0 | 8444 | 5967 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 29 | 19 |
| 2 | 185 | 19 |
| 3 | 1836 | 19 |
| 0 | 8386 | 18 |
| 0 | 707 | 7659 |
| 1 | 2423 | 7219 |
| 0 | 8789 | 6756 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 324 to 142 computations (56.2% saved)
Compiled 426 to 132 computations (69% saved)
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