
Time bar (total: 11.4s)
| 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)
| 1.1s | 8 256× | 0 | valid |
ival-cos: 272.0ms (36.1% of total)ival-sin: 240.0ms (31.9% of total)ival-mult: 194.0ms (25.8% of total)ival-sub: 37.0ms (4.9% of total)ival-true: 6.0ms (0.8% of total)ival-assert: 3.0ms (0.4% 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 |
| 75.0ms | 512× | 0 | valid |
Compiled 85 to 36 computations (57.6% saved)
ival-cos: 11.0ms (35.3% of total)ival-sin: 11.0ms (35.3% of total)ival-mult: 7.0ms (22.5% of total)ival-sub: 2.0ms (6.4% 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 | 35 | 87 |
| 1 | 90 | 84 |
| 2 | 169 | 84 |
| 3 | 375 | 84 |
| 4 | 665 | 84 |
| 5 | 872 | 84 |
| 6 | 1052 | 84 |
| 7 | 1105 | 84 |
| 8 | 1113 | 84 |
| 9 | 1117 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 20 | 9 |
| 2 | 32 | 9 |
| 3 | 44 | 9 |
| 4 | 65 | 9 |
| 5 | 95 | 9 |
| 6 | 153 | 9 |
| 7 | 223 | 9 |
| 8 | 282 | 9 |
| 9 | 311 | 9 |
| 10 | 327 | 9 |
| 0 | 327 | 9 |
| 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 (neg.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 | 0 | (-.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 | 20 | 24 |
| 2 | 32 | 24 |
| 3 | 44 | 24 |
| 4 | 65 | 24 |
| 5 | 95 | 24 |
| 6 | 153 | 24 |
| 7 | 223 | 24 |
| 8 | 282 | 24 |
| 9 | 311 | 24 |
| 10 | 327 | 24 |
| 0 | 327 | 24 |
| 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 (neg.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 | 0.00390625 | (-.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)) |
| 27.0ms | 256× | 0 | valid |
Compiled 50 to 18 computations (64% saved)
ival-cos: 6.0ms (38.3% of total)ival-sin: 5.0ms (31.9% of total)ival-mult: 3.0ms (19.2% of total)ival-sub: 1.0ms (6.4% 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 | @ | 0 | ((- (* 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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 624 |
| 1 | 292 | 619 |
| 2 | 840 | 613 |
| 3 | 2068 | 607 |
| 4 | 3601 | 607 |
| 5 | 6264 | 607 |
| 0 | 8468 | 586 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -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))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -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))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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)) |
(* -1 (* 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) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (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)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
| Outputs |
|---|
(*.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 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(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 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(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 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
x |
(-.f64 x (*.f64 z y)) |
(fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x) |
(fma.f64 (-.f64 (*.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 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))) (*.f64 y y) 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 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z (*.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))) |
(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)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.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 (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)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.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 (neg.f64 z) (sin.f64 y)) |
(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 (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 (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 (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 (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 (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 | 33 | 19 |
| 2 | 210 | 19 |
| 3 | 1964 | 19 |
| 0 | 8379 | 19 |
| 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 13 261 to 742 computations (94.4% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 310 | 15 | 325 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 310 | 16 | 326 |
| Status | Accuracy | Program |
|---|---|---|
| 82.2% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| ▶ | 75.4% | (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.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 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
| 55.5% | (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.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))) | |
| 35.8% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.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)))) | |
| 55.9% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| 20.2% | (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.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 (fma.f64 (fma.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))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.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))) #s(literal 2 binary64))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
| 35.7% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.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 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 77.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| 50.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) | |
| ▶ | 52.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| 44.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| ▶ | 58.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
Compiled 793 to 442 computations (44.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| cost-diff | 0 | (fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| cost-diff | 0 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) | |
| cost-diff | 0 | (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) | |
| cost-diff | 14208 | (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (-.f64 x (*.f64 z y)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 280 |
| 0 | 61 | 261 |
| 1 | 107 | 261 |
| 2 | 221 | 261 |
| 3 | 789 | 261 |
| 4 | 4761 | 261 |
| 5 | 6270 | 261 |
| 0 | 8220 | 261 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(literal -1 binary64) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) |
(neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #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) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) |
#s(literal 0 binary64) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
x |
(/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
z |
(*.f64 (cos.f64 y) x) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(literal -1 binary64) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (neg.f64 z) x)) |
(fma.f64 y (neg.f64 z) x) |
x |
(*.f64 y z) |
z |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
y |
x |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #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) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
#s(literal 1 binary64) |
(*.f64 (sin.f64 y) z) |
#s(literal 0 binary64) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) (*.f64 x x) (/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))) |
x |
(*.f64 (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(sin.f64 y) |
z |
(*.f64 x (cos.f64 y)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) |
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.22722626953688402 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) | |
| accuracy | 0.23828125 | (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| accuracy | 0.258476269536884 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| accuracy | 13.27614669824042 | (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| accuracy | 0.12890625 | (*.f64 (sin.f64 y) z) | |
| accuracy | 0.1875 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) | |
| accuracy | 0.22722626953688402 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) | |
| accuracy | 15.579342816630891 | (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.109375 | (*.f64 (cos.f64 y) x) | |
| accuracy | 26.602212482607257 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) | |
| accuracy | 0 | (-.f64 x (*.f64 z y)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 30.585750423147665 | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) | |
| accuracy | 0.0703125 | (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.109375 | (*.f64 (cos.f64 y) x) | |
| accuracy | 0.1796875 | (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| accuracy | 0.2265625 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
| 88.0ms | 256× | 0 | valid |
Compiled 562 to 73 computations (87% saved)
ival-mult: 26.0ms (39.8% of total)ival-add: 7.0ms (10.7% of total)ival-div: 6.0ms (9.2% of total)ival-sin: 6.0ms (9.2% of total)ival-cos: 5.0ms (7.6% of total)ival-pow2: 5.0ms (7.6% of total)ival-pow: 4.0ms (6.1% of total)ival-neg: 3.0ms (4.6% of total)ival-sub: 2.0ms (3.1% of total)exact: 1.0ms (1.5% 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 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<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 (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.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))) (*.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))) (*.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))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x | @ | inf | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (+ (* x (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x)))) |
| 8.0ms | y | @ | 0 | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (+ (* x (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x)))) |
| 8.0ms | z | @ | inf | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (+ (* x (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x)))) |
| 6.0ms | z | @ | 0 | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (+ (* x (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x)))) |
| 6.0ms | y | @ | inf | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (+ (* x (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (/ (* (pow (cos y) 2) x) (+ (* (sin y) z) (* (cos y) x))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 726 | 7008 |
| 1 | 2439 | 6706 |
| 0 | 8564 | 6540 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (* 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)))) |
(* 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 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin 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))) |
(* (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)) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(+ (cos y) (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 2) (cos y))) (/ (sin y) x)))) |
(+ (cos y) (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 2)))) (* -1 (/ (pow (sin y) 2) (* (pow x 2) (cos y)))))) (/ (sin y) x)))) |
(/ 1 (* z (sin y))) |
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(* (pow z 2) (+ (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y))))) |
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y))))) |
(* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y))))) |
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(/ (- (* -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) |
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(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (* -1 (sin y))))) |
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(* -1 (/ (+ (* -1 (/ (* x (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 3)) (* z (pow (sin y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (* x (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 4)) (* z (pow (sin y) 3))) (/ (* (pow x 2) (pow (cos y) 3)) (pow (sin y) 2))) z))) z)) |
(* -1 (/ (+ (* -1 (/ (* x (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) (pow (cos y) 5)) (* z (pow (sin y) 4))) (/ (* (pow x 3) (pow (cos y) 4)) (pow (sin y) 3))) z)) (/ (* (pow x 2) (pow (cos y) 3)) (pow (sin y) 2))) z))) z)) |
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(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z))))) |
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x |
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x |
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x |
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1 |
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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))))))) |
(* -1 (* (pow y 2) (pow z 2))) |
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(* (pow y 2) (- (* (pow y 2) (- (* -2/45 (* (pow y 2) (pow z 2))) (* -1/3 (pow z 2)))) (pow z 2))) |
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* 1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))) (* -1/3 (pow z 2)))) (pow z 2))) |
(* (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))) |
x |
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(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z))) |
1 |
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x |
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(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x)))))) |
1 |
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(/ (+ (* (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) |
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(* 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))))))) |
(/ (* (pow y 2) (pow z 2)) x) |
(* (pow y 2) (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x))) |
(* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))) |
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ (pow z 3) (pow x 2))) (+ (* 1/2 (/ (pow z 3) (pow x 2))) (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))) |
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(* x (cos y)) |
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(* x (cos y)) |
(* x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
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(* (pow z 2) (pow (sin y) 2)) |
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y))))) |
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y))))) |
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y))))) |
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y))))) |
(/ (* x (pow (cos y) 2)) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* x (pow (cos y) 2)) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* x (pow (cos y) 2)) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* x (pow (cos y) 2)) (+ (* x (cos y)) (* z (sin y)))) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y)))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(/ -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)))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
(* -1 (* 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)) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (+ (cos y) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* z (sin y))) |
(- (* x (+ (cos y) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* z (sin y))) |
(/ (* x (pow (cos y) 2)) (* z (sin y))) |
(* x (+ (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* z (sin y))))) |
(* x (+ (* x (- (/ (* x (pow (cos y) 4)) (* (pow z 3) (pow (sin y) 3))) (/ (pow (cos y) 3) (* (pow z 2) (pow (sin y) 2))))) (/ (pow (cos y) 2) (* z (sin y))))) |
(* x (+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 5)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow z 3) (pow (sin y) 3)))))) (/ (pow (cos y) 3) (* (pow z 2) (pow (sin y) 2))))) (/ (pow (cos y) 2) (* z (sin y))))) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* z (sin y)) |
(+ (* -1 (* x (cos y))) (* z (sin y))) |
(+ (* x (- (/ (* x (pow (cos y) 2)) (* z (sin y))) (cos y))) (* z (sin y))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (pow (cos y) 2) (* z (sin y)))))) (cos y))) (* z (sin y))) |
(* 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 (* 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)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* 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)))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) 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)))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* 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)))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* 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)))) (/ (* 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)))) (/ (* z (sin y)) x))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(- (+ (cos y) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (/ (* z (sin y)) x)) |
(- (+ (cos y) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 2))))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (/ (* z (sin y)) x))) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))) |
(/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) 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)))) |
(/ 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)) |
(* 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)))) |
(* 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)))) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* 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)))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* 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)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* 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)))) (* 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)))) (* z (sin y))) x))))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* z (sin y))) x))) |
(+ (cos y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)) (* z (sin y))) x))) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x)) |
| Outputs |
|---|
(*.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 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(fma.f64 (/.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 (/.f64 (/.f64 (sin.f64 y) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (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 (/.f64 (/.f64 (sin.f64 y) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(*.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)) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(*.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)) |
x |
(-.f64 x (*.f64 y z)) |
(-.f64 x (*.f64 y z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.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 (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 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (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 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y))) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y))) z (*.f64 (cos.f64 y) x)) |
(cos.f64 y) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(fma.f64 (-.f64 (*.f64 (/.f64 z (cos.f64 y)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 (sin.f64 y) x)) z (cos.f64 y)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (cos.f64 y))) z (/.f64 (neg.f64 (sin.f64 y)) x)) z (cos.f64 y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/.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) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)) (*.f64 z z)) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (*.f64 z z)) |
(*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (*.f64 z z)) |
(*.f64 (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 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (*.f64 z z)) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
(/.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 (-.f64 (/.f64 (neg.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 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))) z) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(neg.f64 z) |
(neg.f64 z) |
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(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 (neg.f64 z) (sin.f64 y)) |
(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 (neg.f64 z) y) |
(-.f64 x (*.f64 y z)) |
(-.f64 x (*.f64 y z)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(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 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(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 (neg.f64 z) (sin.f64 y)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 (fma.f64 #s(literal 0 binary64) x (cos.f64 y)) x) (*.f64 (sin.f64 y) z)) |
(-.f64 (*.f64 (fma.f64 #s(literal 0 binary64) x (cos.f64 y)) x) (*.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) |
(*.f64 (fma.f64 (neg.f64 (/.f64 (/.f64 x z) z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (sin.f64 y))) x) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (sin.f64 y))) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) x (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (sin.f64 y))) x) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(*.f64 (sin.f64 y) z) |
(fma.f64 (neg.f64 (cos.f64 y)) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (neg.f64 (cos.f64 y))) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 (/.f64 x z) z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (sin.f64 y))) x (neg.f64 (cos.f64 y))) x (*.f64 (sin.f64 y) z)) |
(*.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 #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))) 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 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x)) x) |
(/.f64 (-.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)) (pow.f64 x #s(literal 3 binary64))) (/.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 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 x))) 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 (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) |
x |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) 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 (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 (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 (cos.f64 y) x) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(*.f64 (-.f64 (-.f64 (cos.f64 y) (/.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (*.f64 (sin.f64 y) z) x)) x) |
(*.f64 (-.f64 (-.f64 (cos.f64 y) (/.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (*.f64 (sin.f64 y) z) x)) x) |
(cos.f64 y) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(fma.f64 (-.f64 (*.f64 (/.f64 z (cos.f64 y)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 (sin.f64 y) x)) z (cos.f64 y)) |
(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 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (cos.f64 y) (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) z) x)))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)) (*.f64 z z)) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y))) x) |
(/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x)) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)) x) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y)) (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 2 binary64))) (*.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 x x)))))) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x)) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x)) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (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 (/.f64 #s(literal -1 binary64) (cos.f64 y)) #s(literal -1 binary64))) 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 (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 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.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 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) x) #s(literal -1 binary64) (*.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 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x)) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x)) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x)) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x)) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x)) |
x |
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x)) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x)) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (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 (cos.f64 y) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x)) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x)) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x)) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x)) |
(cos.f64 y) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(-.f64 (cos.f64 y) (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)) (*.f64 (sin.f64 y) z)) x)) |
(-.f64 (cos.f64 y) (/.f64 (fma.f64 (sin.f64 y) z (/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y))) (neg.f64 x))) x)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)) (*.f64 z z)) |
(/.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 2 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (cos.f64 y))) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x)) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) x) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 5 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x))) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 202 |
| 0 | 61 | 158 |
| 1 | 243 | 158 |
| 2 | 1774 | 151 |
| 0 | 10012 | 151 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(neg.f64 z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
(*.f64 z y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) |
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) |
(neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
(/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) |
(*.f64 (sin.f64 y) z) |
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 153 730 to 6 235 computations (95.9% saved)
32 alts after pruning (29 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 715 | 28 | 3 743 |
| Fresh | 9 | 1 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 3 727 | 32 | 3 759 |
| Status | Accuracy | Program |
|---|---|---|
| 55.6% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) x) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))) | |
| ▶ | 60.7% | (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) |
| 46.4% | (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x)) | |
| 43.2% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)))) | |
| 26.0% | (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 26.0% | (pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal 2 binary64)) | |
| 29.8% | (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))) | |
| 26.0% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 35.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) | |
| 58.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (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))) x))) | |
| 38.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (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)))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
| ▶ | 58.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
| 36.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 44.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 77.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| ▶ | 50.6% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
| 50.6% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x)) | |
| 90.5% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) | |
| 88.4% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)) | |
| 44.2% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| ✓ | 52.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| 46.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x)) | |
| ✓ | 58.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
| 34.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 34.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) | |
| ▶ | 36.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
| 43.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) | |
| 19.6% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) | |
| 34.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) | |
| 34.2% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
Compiled 1 422 to 1 018 computations (28.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (sin.f64 y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) | |
| cost-diff | 14528 | (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 314 |
| 0 | 77 | 297 |
| 1 | 120 | 293 |
| 2 | 237 | 293 |
| 3 | 872 | 293 |
| 4 | 2588 | 293 |
| 5 | 4244 | 293 |
| 6 | 6744 | 293 |
| 0 | 8105 | 293 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (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)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal 1/6 binary64) |
(*.f64 y z) |
y |
z |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(neg.f64 z) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
(neg.f64 (*.f64 z z)) |
(*.f64 z z) |
z |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) |
#s(literal 0 binary64) |
(*.f64 (sin.f64 y) z) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) |
(fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal 1/6 binary64) |
(*.f64 y z) |
y |
z |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(neg.f64 z) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
y |
x |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z)) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
(*.f64 (neg.f64 z) z) |
(*.f64 z z) |
z |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
#s(literal 1 binary64) |
(*.f64 (sin.f64 y) z) |
#s(literal 0 binary64) |
(*.f64 (sin.f64 y) z) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1875 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) | |
| accuracy | 0.28125 | (pow.f64 (sin.f64 y) #s(literal 2 binary64)) | |
| accuracy | 9.764411112761357 | (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) | |
| accuracy | 15.579342816630891 | (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.109375 | (*.f64 (cos.f64 y) x) | |
| accuracy | 0.171875 | (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.2265625 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) | |
| accuracy | 26.61867803516808 | #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) | |
| accuracy | 0.01953125 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) | |
| accuracy | 0.0390625 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) | |
| accuracy | 0.16015625 | (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 31.619794114149776 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) | |
| accuracy | 0.109375 | (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) | |
| accuracy | 26.602212482607257 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| accuracy | 28.56485475720765 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.0703125 | (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.109375 | (*.f64 (cos.f64 y) x) | |
| accuracy | 0.17578125 | (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) | |
| accuracy | 0.2265625 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
| 116.0ms | 256× | 0 | valid |
Compiled 584 to 90 computations (84.6% saved)
ival-add: 26.0ms (27.4% of total)ival-sin: 23.0ms (24.3% of total)ival-mult: 19.0ms (20% of total)ival-cos: 7.0ms (7.4% of total)ival-div: 6.0ms (6.3% of total)const: 4.0ms (4.2% of total)ival-pow: 4.0ms (4.2% of total)ival-neg: 2.0ms (2.1% of total)ival-pow2: 2.0ms (2.1% of total)ival-sub: 1.0ms (1.1% of total)exact: 1.0ms (1.1% 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) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | z | @ | 0 | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* y z)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (+ (* (* (pow (sin y) 2) (neg (* z z))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (pow (sin y) 2) (neg (* z z))) (pow (sin y) 2) (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (/ 1 (+ 0 (* (sin y) z)))) |
| 4.0ms | x | @ | 0 | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* y z)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (+ (* (* (pow (sin y) 2) (neg (* z z))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (pow (sin y) 2) (neg (* z z))) (pow (sin y) 2) (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (/ 1 (+ 0 (* (sin y) z)))) |
| 3.0ms | y | @ | -inf | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* y z)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (+ (* (* (pow (sin y) 2) (neg (* z z))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (pow (sin y) 2) (neg (* z z))) (pow (sin y) 2) (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (/ 1 (+ 0 (* (sin y) z)))) |
| 3.0ms | y | @ | inf | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* y z)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (+ (* (* (pow (sin y) 2) (neg (* z z))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (pow (sin y) 2) (neg (* z z))) (pow (sin y) 2) (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (/ 1 (+ 0 (* (sin y) z)))) |
| 3.0ms | z | @ | -inf | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (+ (* 1/6 (* y z)) (* -1/2 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ 1 (* (cos y) x)) (* (cos y) x) (+ (* (* (pow (sin y) 2) (neg (* z z))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (pow (sin y) 2) (neg (* z z))) (pow (sin y) 2) (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (/ 1 (+ 0 (* (sin y) z)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 498 | 7278 |
| 1 | 1642 | 7083 |
| 2 | 5777 | 6992 |
| 0 | 8224 | 6728 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (* 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)))) |
(* 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 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(* -1/2 (* x y)) |
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1))) |
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1))) |
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1))) |
(* -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)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(/ 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)))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin 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))) |
(/ 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)))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(/ -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) |
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(- (* -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)))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* 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)) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(- (* 1/6 (* (pow y 2) z)) z) |
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z) |
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z) |
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z) |
(* 1/6 (* y z)) |
(+ (* -1/2 x) (* 1/6 (* y z))) |
(+ (* -1/2 x) (* 1/6 (* y z))) |
(+ (* -1/2 x) (* 1/6 (* y z))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(/ -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)))) |
(/ 1 (* x (cos y))) |
(/ 1 (* x (cos y))) |
(/ 1 (* x (cos y))) |
(/ 1 (* x (cos y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(/ -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) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(/ 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)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* 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)))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* 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)))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(* -1/2 (* x y)) |
(* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x))) |
(* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x))) |
(* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x))) |
(* -1/2 x) |
(* x (- (* 1/6 (/ (* y z) x)) 1/2)) |
(* x (- (* 1/6 (/ (* y z) x)) 1/2)) |
(* x (- (* 1/6 (/ (* y z) x)) 1/2)) |
(* 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 (* 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) |
(/ 1 (* x (cos y))) |
(/ 1 (* x (cos y))) |
(/ 1 (* x (cos y))) |
(/ 1 (* x (cos y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* 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 (* 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)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(/ 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)) |
(* 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)))) |
(* 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)))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* 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 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(* -1/2 (* x y)) |
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) 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)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(/ 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)) |
(/ 1 (* x (cos y))) |
(/ 1 (* x (cos y))) |
(/ 1 (* x (cos y))) |
(/ 1 (* x (cos y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* 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 (* 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 x (cos.f64 y)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) |
(fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))) |
(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 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (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 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))) |
(*.f64 x (cos.f64 y)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(*.f64 x (cos.f64 y)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x) |
(fma.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) z (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) |
(fma.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) z (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) |
(fma.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) z (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) |
(*.f64 (*.f64 x y) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) |
(*.f64 #s(literal -1/2 binary64) x) |
(fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 x (cos.f64 y)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) |
(fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))) |
(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 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (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 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))) |
(*.f64 x (cos.f64 y)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (sin.f64 y) z) |
(*.f64 (neg.f64 z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) |
(*.f64 (neg.f64 z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) |
(*.f64 (neg.f64 z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) |
(*.f64 (neg.f64 z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) |
(fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))) |
(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 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (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 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(*.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 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
(/.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)) |
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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 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 (pow.f64 (sin.f64 y) #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)))) x)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
(*.f64 x (cos.f64 y)) |
(*.f64 x (cos.f64 y)) |
(*.f64 x (cos.f64 y)) |
(*.f64 x (cos.f64 y)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) |
(/.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))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 (pow.f64 (sin.f64 y) #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)))) x)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 257 |
| 0 | 77 | 238 |
| 1 | 266 | 234 |
| 2 | 1805 | 233 |
| 0 | 8691 | 222 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (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)) |
(neg.f64 z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) |
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) |
| Outputs |
|---|
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Compiled 61 360 to 4 149 computations (93.2% saved)
39 alts after pruning (33 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 793 | 21 | 1 814 |
| Fresh | 12 | 12 | 24 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 807 | 39 | 1 846 |
| Status | Accuracy | Program |
|---|---|---|
| 55.7% | (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) | |
| 61.5% | (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y))) | |
| 26.0% | (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) | |
| 72.2% | (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) | |
| 61.8% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (*.f64 (sin.f64 y) z)) | |
| 29.8% | (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))) | |
| 35.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) | |
| 26.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 58.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) x))) | |
| 58.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)))) | |
| ▶ | 69.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
| ✓ | 99.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
| ✓ | 58.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
| 34.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))))) | |
| 34.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))))) | |
| 36.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 44.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) | |
| 34.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) #s(approx (/ 1 (* (cos y) x)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y (/.f64 #s(literal 1 binary64) x))))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 77.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| ▶ | 50.6% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x)) |
| 51.3% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* y z)) (* -1/2 x)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) y (neg.f64 z)) y x)) | |
| 50.6% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x)) | |
| 51.3% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y x)) | |
| 20.4% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 z y)) y)) (*.f64 y y))) y x)) | |
| 34.6% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 (*.f64 y z) y) #s(literal 1/6 binary64))) y x)) | |
| 34.2% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) | |
| ▶ | 90.5% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
| 44.2% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 34.1% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg 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))) (-.f64 x (*.f64 z y))) |
| 46.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x)) | |
| ✓ | 58.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
| ▶ | 34.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
| ✓ | 36.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
| 43.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) | |
| ▶ | 19.6% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
| 34.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) | |
| 34.2% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
Compiled 1 937 to 1 387 computations (28.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) z) | |
| cost-diff | 1344 | (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x)) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) y) | |
| cost-diff | 0 | #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 430 |
| 0 | 90 | 386 |
| 1 | 158 | 366 |
| 2 | 349 | 360 |
| 3 | 999 | 360 |
| 4 | 2736 | 354 |
| 5 | 5857 | 354 |
| 0 | 8060 | 354 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(neg.f64 z) |
z |
(cos.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(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 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x))) |
(fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 y z) |
y |
z |
#s(literal 1/6 binary64) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(neg.f64 z) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z)) |
(+.f64 #s(literal 0 binary64) z) |
#s(literal 0 binary64) |
(sin.f64 y) |
y |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))) |
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(neg.f64 z) |
z |
(cos.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 y z) |
y |
z |
#s(literal 1/6 binary64) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(neg.f64 z) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(neg.f64 z) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(/.f64 #s(literal 1 binary64) z) |
z |
#s(literal 0 binary64) |
(sin.f64 y) |
y |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.109375 | (*.f64 (cos.f64 y) x) | |
| accuracy | 0.17578125 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x))) | |
| accuracy | 0.2265625 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| accuracy | 31.448788817674732 | (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) | |
| accuracy | 0.16015625 | (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 0.19921875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) | |
| accuracy | 0.6678476383895299 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x))) | |
| accuracy | 31.619794114149776 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x)) | |
| accuracy | 0.0859375 | (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) | |
| accuracy | 0.109375 | (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) | |
| accuracy | 26.602212482607257 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| accuracy | 31.7091063469697 | #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 (neg.f64 z) y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 28.899728517968093 | #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) | |
| accuracy | 30.585750423147665 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) | |
| accuracy | 0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) | |
| accuracy | 0.07421875 | (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) | |
| accuracy | 0.109375 | (/.f64 (sin.f64 y) x) | |
| accuracy | 6.04051996798832 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
| 116.0ms | 256× | 0 | valid |
Compiled 748 to 107 computations (85.7% saved)
ival-mult: 29.0ms (34.4% of total)ival-add: 13.0ms (15.4% of total)ival-div: 10.0ms (11.9% of total)ival-neg: 7.0ms (8.3% of total)ival-sin: 6.0ms (7.1% of total)const: 6.0ms (7.1% of total)ival-cos: 5.0ms (5.9% of total)ival-pow: 4.0ms (4.7% of total)ival-sub: 2.0ms (2.4% of total)exact: 1.0ms (1.2% 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 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | inf | ((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (* (* (neg z) z) (/ 1 (+ 0 z))) (+ 0 z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* 1/24 (* y y)) -1/2) (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (+ (* (* y z) 1/6) (* -1/2 x)) (/ 1 (+ (* (* (* (neg z) z) (/ 1 (+ 0 z))) (sin y)) (* (cos y) x))) (* (cos y) x)) |
| 4.0ms | y | @ | -inf | ((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (* (* (neg z) z) (/ 1 (+ 0 z))) (+ 0 z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* 1/24 (* y y)) -1/2) (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (+ (* (* y z) 1/6) (* -1/2 x)) (/ 1 (+ (* (* (* (neg z) z) (/ 1 (+ 0 z))) (sin y)) (* (cos y) x))) (* (cos y) x)) |
| 3.0ms | z | @ | inf | ((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (* (* (neg z) z) (/ 1 (+ 0 z))) (+ 0 z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* 1/24 (* y y)) -1/2) (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (+ (* (* y z) 1/6) (* -1/2 x)) (/ 1 (+ (* (* (* (neg z) z) (/ 1 (+ 0 z))) (sin y)) (* (cos y) x))) (* (cos y) x)) |
| 3.0ms | x | @ | -inf | ((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (* (* (neg z) z) (/ 1 (+ 0 z))) (+ 0 z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* 1/24 (* y y)) -1/2) (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (+ (* (* y z) 1/6) (* -1/2 x)) (/ 1 (+ (* (* (* (neg z) z) (/ 1 (+ 0 z))) (sin y)) (* (cos y) x))) (* (cos y) x)) |
| 3.0ms | z | @ | 0 | ((* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (* (* (neg z) z) (/ 1 (+ 0 z))) (+ 0 z) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* 1/24 (* y y)) -1/2) (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (+ (* (* y z) 1/6) (* -1/2 x)) (/ 1 (+ (* (* (* (neg z) z) (/ 1 (+ 0 z))) (sin y)) (* (cos y) x))) (* (cos y) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 679 | 7747 |
| 1 | 2201 | 7546 |
| 2 | 7295 | 7479 |
| 0 | 8238 | 7197 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(* x (cos y)) |
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(* 1/6 (* y z)) |
(* y (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* y (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* y (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* 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)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) 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))) |
(* -1 (* y z)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* 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))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* 1/24 (pow y 4)) |
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(* 1/6 (* y z)) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* 1/6 (* (pow y 3) z)) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ z y)) y)) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ z y)) y)) (* 1/6 z))) |
(+ (* -1 (* z (sin y))) (* 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 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(* 1/24 (pow y 2)) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(/ 6 (* y z)) |
(* -1 (/ (- (* -18 (/ x (* y (pow z 2)))) (* 6 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* 54 (/ (pow x 2) (* y (pow z 3)))) (* -18 (/ x (pow z 2)))) y)) (* 6 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -162 (/ (pow x 3) (* y (pow z 4)))) (* 54 (/ (pow x 2) (pow z 3)))) y)) (* -18 (/ x (pow z 2)))) y)) (* 6 (/ 1 z))) y)) |
(* 1/6 (* y z)) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
(* -1 (* 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)) |
(* 1/6 (* y z)) |
(+ (* -1/2 x) (* 1/6 (* y z))) |
(+ (* -1/2 x) (* 1/6 (* y z))) |
(+ (* -1/2 x) (* 1/6 (* y z))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(- (* 1/6 (* (pow y 2) z)) z) |
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z) |
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z) |
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(/ -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)))) |
(/ 6 (* y z)) |
(+ (* 18 (/ x (* (pow y 2) (pow z 2)))) (* 6 (/ 1 (* y z)))) |
(+ (* x (+ (* 54 (/ x (* (pow y 3) (pow z 3)))) (* 18 (/ 1 (* (pow y 2) (pow z 2)))))) (* 6 (/ 1 (* y z)))) |
(+ (* x (+ (* x (+ (* 162 (/ x (* (pow y 4) (pow z 4)))) (* 54 (/ 1 (* (pow y 3) (pow z 3)))))) (* 18 (/ 1 (* (pow y 2) (pow z 2)))))) (* 6 (/ 1 (* y z)))) |
(* 1/6 (* y z)) |
(+ (* -1/2 x) (* 1/6 (* y z))) |
(+ (* -1/2 x) (* 1/6 (* y z))) |
(+ (* -1/2 x) (* 1/6 (* y z))) |
(/ -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)) |
(* x (cos y)) |
(* x (cos y)) |
(* 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)))) |
(* 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)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (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)))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) 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)))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1/2 x) |
(* x (- (* 1/6 (/ (* y z) x)) 1/2)) |
(* x (- (* 1/6 (/ (* y z) x)) 1/2)) |
(* x (- (* 1/6 (/ (* y z) x)) 1/2)) |
(* 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)))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(* -1/2 (* x y)) |
(* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x))) |
(* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x))) |
(* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z 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)))) |
(/ 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) |
(/ -2 x) |
(/ (- (* -2/3 (/ (* y z) x)) 2) x) |
(/ (- (* -2/9 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ 2 (* 2/3 (/ (* y z) x)))) x) |
(/ (- (* -2/27 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ 2 (+ (* 2/9 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* 2/3 (/ (* y z) x))))) x) |
(* -1/2 x) |
(* x (- (* 1/6 (/ (* y z) x)) 1/2)) |
(* x (- (* 1/6 (/ (* y z) x)) 1/2)) |
(* x (- (* 1/6 (/ (* y z) x)) 1/2)) |
(/ 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)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* 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)))) |
(* 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)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (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)))) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* 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)))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos 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)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(* -1/2 (* x y)) |
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y)))) |
(* 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 (* 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)) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2/3 (/ (* y z) x))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -2/9 (/ (* (pow y 2) (pow z 2)) x)) (* 2/3 (* y z))) x))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2/27 (/ (* (pow y 3) (pow z 3)) x)) (* -2/9 (* (pow y 2) (pow z 2)))) x)) (* 2/3 (* y z))) x))) x)) |
(* -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))))) |
(/ 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)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
| Outputs |
|---|
(*.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 (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)) |
(cos.f64 y) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.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)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
x |
(-.f64 x (*.f64 z y)) |
(-.f64 x (*.f64 z y)) |
(-.f64 x (*.f64 z y)) |
(*.f64 (neg.f64 z) y) |
(*.f64 (neg.f64 z) y) |
(*.f64 (neg.f64 z) y) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(*.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 #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 (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)) |
(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 #s(literal 1 binary64)) x (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y)) z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) x (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y)) z)) |
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(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) (neg.f64 y)) z) x)) x x) |
(*.f64 (*.f64 x y) #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) x)) x) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) x)) x) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) x)) 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 #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))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 x))) x) |
(/.f64 #s(literal -2 binary64) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -2/3 binary64) #s(literal -2 binary64)) x) |
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 z y) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) y) y) x) #s(literal -2/9 binary64))) x) #s(literal 2 binary64)) x) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -2/27 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (/.f64 #s(literal 2/9 binary64) x) (/.f64 (*.f64 (*.f64 (*.f64 z z) y) y) x) (*.f64 (/.f64 (*.f64 z y) x) #s(literal 2/3 binary64)))) 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 #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))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.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 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(cos.f64 y) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(/.f64 (sin.f64 y) x) |
(/.f64 (sin.f64 y) x) |
(/.f64 (sin.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
x |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y)) z) x))) |
(*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y)) z) x))) |
(*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y)) z) x))) |
(*.f64 (*.f64 x y) #s(literal -1/2 binary64)) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) (neg.f64 x)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) (neg.f64 x)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) (neg.f64 x)))) |
(*.f64 (cos.f64 y) x) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(/.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))) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x)) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (neg.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 (*.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)) (neg.f64 x)) |
(/.f64 #s(literal -2 binary64) x) |
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 z y) x) #s(literal 2/3 binary64))) x) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 z y) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) y) y) x) #s(literal -2/9 binary64))) x)) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) z) y (/.f64 (fma.f64 (*.f64 #s(literal 2/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) y) #s(literal 2/9 binary64))) (neg.f64 x))) x)) (neg.f64 x)) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(/.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))) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x)) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (neg.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 (*.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)) (neg.f64 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 | 55 | 360 |
| 0 | 90 | 315 |
| 1 | 350 | 299 |
| 2 | 2558 | 278 |
| 0 | 8997 | 276 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) |
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) |
(+.f64 #s(literal 0 binary64) z) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x))) |
(fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(*.f64 (cos.f64 y) x) |
| Outputs |
|---|
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Compiled 67 306 to 5 461 computations (91.9% saved)
46 alts after pruning (38 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 684 | 17 | 1 701 |
| Fresh | 7 | 21 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 694 | 46 | 1 740 |
| Status | Accuracy | Program |
|---|---|---|
| 55.7% | (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) | |
| 61.5% | (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y))) | |
| 26.0% | (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) | |
| 72.2% | (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) | |
| 61.8% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (*.f64 (sin.f64 y) z)) | |
| 29.8% | (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))) | |
| 35.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) | |
| 33.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) | |
| 26.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 58.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) x))) | |
| 58.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)))) | |
| 69.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| ✓ | 99.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
| ✓ | 58.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
| 34.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))))) | |
| 34.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))))) | |
| 36.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 44.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 77.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| 50.6% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (/.f64 #s(literal -2 binary64) x))) y (neg.f64 z)) y x)) | |
| 51.3% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x)) | |
| 50.6% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x)) | |
| 51.3% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) | |
| 20.4% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z (neg.f64 y))) y)) (*.f64 y y))) y x)) | |
| 34.7% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x)) | |
| 34.2% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) | |
| ✓ | 90.5% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
| 90.5% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (neg.f64 z) (cos.f64 y)) x)) | |
| 44.2% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 34.8% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) | |
| 34.1% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg 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))) (-.f64 x (*.f64 z y))) |
| 46.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x)) | |
| ✓ | 58.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
| 34.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| ✓ | 36.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
| 9.5% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) y)) z))) | |
| 43.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) | |
| 1.4% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (*.f64 z z) #s(literal -1 binary64)))) (*.f64 z z)) y))) | |
| 10.0% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) z) y))) | |
| 2.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))) y))) | |
| ✓ | 19.6% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
| 2.9% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y))) | |
| 34.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) | |
| 34.2% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
Compiled 3 544 to 1 297 computations (63.4% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 (*.f64 y z) y) #s(literal 1/6 binary64))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) y)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* y z)) (* -1/2 x)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) y (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))) y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (/.f64 #s(literal -2 binary64) x))) y (neg.f64 z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (*.f64 z z) #s(literal -1 binary64)))) (*.f64 z z)) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) #s(approx (/ 1 (* (cos y) x)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 z y)) y)) (*.f64 y y))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z (neg.f64 y))) y)) (*.f64 y y))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (neg.f64 z) (cos.f64 y)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) |
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (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))) x))) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (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 (-.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (*.f64 (sin.f64 y) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x)) |
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.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 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) x) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.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 (fma.f64 (fma.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 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.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 (fma.f64 (fma.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))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.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))) #s(literal 2 binary64))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 79.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 59.0ms | z |
| 30.0ms | x |
| 26.0ms | y |
| 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 (- x (* z y)) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 (*.f64 y z) y) #s(literal 1/6 binary64))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) y)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* y z)) (* -1/2 x)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) y (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))) y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (/.f64 #s(literal -2 binary64) x))) y (neg.f64 z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (*.f64 z z) #s(literal -1 binary64)))) (*.f64 z z)) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) #s(approx (/ 1 (* (cos y) x)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 z y)) y)) (*.f64 y y))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z (neg.f64 y))) y)) (*.f64 y y))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
4 calls:
| 71.0ms | z |
| 48.0ms | x |
| 14.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.8% | 3 | x |
| 83.0% | 4 | y |
| 89.2% | 3 | z |
| 79.2% | 2 | (-.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 (- x (* z y)) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 (*.f64 y z) y) #s(literal 1/6 binary64))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) y)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* y z)) (* -1/2 x)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) y (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))) y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (/.f64 #s(literal -2 binary64) x))) y (neg.f64 z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (*.f64 z z) #s(literal -1 binary64)))) (*.f64 z z)) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) #s(approx (/ 1 (* (cos y) x)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 z y)) y)) (*.f64 y y))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z (neg.f64 y))) y)) (*.f64 y y))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
4 calls:
| 17.0ms | y |
| 15.0ms | z |
| 12.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.6% | 3 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 81.8% | 5 | y |
| 75.1% | 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 (- x (* z y)) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 (*.f64 y z) y) #s(literal 1/6 binary64))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) y)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* y z)) (* -1/2 x)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) y (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))) y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (/.f64 #s(literal -2 binary64) x))) y (neg.f64 z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (*.f64 z z) #s(literal -1 binary64)))) (*.f64 z z)) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) #s(approx (/ 1 (* (cos y) x)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 z y)) y)) (*.f64 y y))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z (neg.f64 y))) y)) (*.f64 y y))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))))) |
#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 (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.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))) (*.f64 (cos.f64 y) x)) |
3 calls:
| 37.0ms | y |
| 14.0ms | z |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.0% | 3 | z |
| 74.9% | 3 | y |
| 69.5% | 3 | x |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (*.f64 (*.f64 y z) y) #s(literal 1/6 binary64))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) y)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* y z)) (* -1/2 x)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) y (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))) y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y z) 1/6) (* -1/2 x))) (/.f64 #s(literal -2 binary64) x))) y (neg.f64 z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (*.f64 z z) #s(literal -1 binary64)))) (*.f64 z z)) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) #s(approx (/ 1 (* (cos y) x)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* y z)) (* -1/2 x)) y) (neg z)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 z y)) y)) (*.f64 y y))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (/ 1 (/ 1 (+ (* (* y z) 1/6) (* -1/2 x)))) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z (neg.f64 y))) y)) (*.f64 y y))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)))) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)))) y (neg.f64 z)) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
4 calls:
| 130.0ms | y |
| 13.0ms | z |
| 11.0ms | x |
| 11.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 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)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
4 calls:
| 5.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.7% | 1 | y |
| 43.7% | 3 | x |
| 36.7% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 40.9% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
3 calls:
| 2.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.7% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 36.7% | 1 | z |
| 36.7% | 1 | x |
Compiled 11 to 14 computations (-27.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y))) |
4 calls:
| 2.0ms | z |
| 1.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.9% | 1 | x |
| 2.9% | 1 | z |
| 2.9% | 1 | y |
| 2.9% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 2.99520320317134e+41 | 2.3378014705212747e+62 |
| 15.0ms | -9.423873243069685e+153 | -6.526481622212868e+151 |
| 27.0ms | 288× | 0 | valid |
Compiled 462 to 428 computations (7.4% saved)
ival-cos: 7.0ms (37.6% of total)ival-sin: 6.0ms (32.2% of total)ival-mult: 4.0ms (21.5% of total)ival-sub: 1.0ms (5.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 2.99520320317134e+41 | 2.3378014705212747e+62 |
| 47.0ms | -5.772139200411518e-73 | -1.9402543305835266e-76 |
| 54.0ms | 272× | 0 | valid |
Compiled 563 to 489 computations (13.1% saved)
ival-mult: 34.0ms (72.7% of total)ival-cos: 6.0ms (12.8% of total)ival-sin: 5.0ms (10.7% of total)ival-sub: 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 |
|---|---|---|
| 15.0ms | 0.0008105783715325085 | 81.16568437584831 |
| 17.0ms | -72.1402902541629 | -5.309294607893827e-15 |
| 19.0ms | 304× | 0 | valid |
Compiled 753 to 584 computations (22.4% saved)
ival-mult: 4.0ms (35.9% of total)ival-cos: 3.0ms (26.9% of total)ival-sin: 3.0ms (26.9% of total)ival-sub: 1.0ms (9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 4.477127375320379e-66 | 2.9201303951611046e-64 |
| 24.0ms | -5.772139200411518e-73 | -1.9402543305835266e-76 |
| 28.0ms | 224× | 0 | valid |
Compiled 552 to 434 computations (21.4% saved)
ival-cos: 5.0ms (39.2% of total)ival-sin: 4.0ms (31.3% of total)ival-mult: 3.0ms (23.5% of total)ival-sub: 1.0ms (7.8% 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 | 66 | 278 |
| 1 | 89 | 278 |
| 2 | 108 | 278 |
| 3 | 117 | 278 |
| 4 | 123 | 278 |
| 5 | 125 | 278 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(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)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #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 2000000000000000089771425356151833571098624 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))) |
(if (<=.f64 y #s(literal -6052837899185947/288230376151711744 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 8214565720323785/288230376151711744 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.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))) (*.f64 (cos.f64 y) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(if (<=.f64 x #s(literal -6925922319537253/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 2845706385096283/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y))) |
| Outputs |
|---|
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
(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)) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)) #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 2000000000000000089771425356151833571098624 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))) |
(if (<=.f64 y #s(literal -6052837899185947/288230376151711744 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 8214565720323785/288230376151711744 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.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))) (*.f64 (cos.f64 y) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(if (<=.f64 x #s(literal -6925922319537253/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 2845706385096283/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 360 |
| 0 | 90 | 315 |
| 1 | 350 | 299 |
| 2 | 2558 | 278 |
| 0 | 8997 | 276 |
| 0 | 726 | 7008 |
| 1 | 2439 | 6706 |
| 0 | 8564 | 6540 |
| 0 | 97 | 624 |
| 1 | 292 | 619 |
| 2 | 840 | 613 |
| 3 | 2068 | 607 |
| 4 | 3601 | 607 |
| 5 | 6264 | 607 |
| 0 | 8468 | 586 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 387 to 171 computations (55.8% saved)
Compiled 574 to 144 computations (74.9% saved)
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