
Time bar (total: 8.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 9 computations (10% saved)
| 583.0ms | 8 256× | 0 | valid |
ival-sin: 198.0ms (52.2% of total)ival-div: 116.0ms (30.6% of total)ival-mult: 55.0ms (14.5% of total)ival-true: 7.0ms (1.8% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 11 | 0 | - | 4 | (6.689990492175909e-192 5.765433138453016e+119 3.1989733480711136e-295) | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 y) y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) | u/n | 7 | 0 |
| ↳ | (*.f64 x (/.f64 (sin.f64 y) y)) | underflow | 27 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 7 | 4 |
| - | 0 | 245 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 7 | 0 | 4 |
| - | 0 | 0 | 245 |
| number | freq |
|---|---|
| 0 | 249 |
| 1 | 7 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 39.0ms | 512× | 0 | valid |
Compiled 81 to 32 computations (60.5% saved)
ival-sin: 12.0ms (53% of total)ival-div: 7.0ms (30.9% of total)ival-mult: 3.0ms (13.3% 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 | 29 | 81 |
| 1 | 87 | 75 |
| 2 | 252 | 75 |
| 3 | 911 | 75 |
| 4 | 2899 | 75 |
| 5 | 4942 | 75 |
| 6 | 5886 | 75 |
| 7 | 5983 | 75 |
| 8 | 6028 | 75 |
| 9 | 6069 | 75 |
| 10 | 6119 | 75 |
| 11 | 6659 | 75 |
| 12 | 6917 | 75 |
| 13 | 6929 | 75 |
| 14 | 6929 | 75 |
| 15 | 6929 | 75 |
| 16 | 7087 | 75 |
| 17 | 7207 | 75 |
| 18 | 7339 | 75 |
| 19 | 7395 | 75 |
| 20 | 7395 | 75 |
| 21 | 7395 | 75 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 16 | 8 |
| 2 | 24 | 8 |
| 3 | 37 | 8 |
| 4 | 48 | 8 |
| 5 | 48 | 8 |
| 0 | 48 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(abs y)
(negabs z)
(negabs x)
Compiled 8 to 7 computations (12.5% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.8% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 8 to 7 computations (12.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 16 | 23 |
| 2 | 24 | 23 |
| 3 | 37 | 23 |
| 4 | 48 | 23 |
| 5 | 48 | 23 |
| 0 | 48 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.078125 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.12890625 | (/.f64 (sin.f64 y) y) | |
| accuracy | 2.0090529715355103 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 26.0ms | 256× | 0 | valid |
Compiled 48 to 16 computations (66.7% saved)
ival-div: 9.0ms (51.5% of total)ival-sin: 7.0ms (40.1% of total)ival-mult: 2.0ms (11.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 3.0ms | x | @ | inf | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 2.0ms | x | @ | -inf | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 2.0ms | z | @ | 0 | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1.0ms | y | @ | 0 | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 634 |
| 1 | 181 | 634 |
| 2 | 523 | 614 |
| 3 | 1580 | 606 |
| 4 | 2550 | 606 |
| 5 | 4169 | 606 |
| 6 | 4849 | 606 |
| 7 | 5080 | 606 |
| 8 | 5581 | 606 |
| 0 | 8767 | 582 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 x z) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) |
(fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z)) |
x |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
y |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 31 | 20 |
| 2 | 151 | 20 |
| 3 | 1048 | 20 |
| 4 | 5271 | 20 |
| 0 | 8084 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
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Compiled 5 804 to 1 057 computations (81.8% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 417 | 12 | 429 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 418 | 12 | 430 |
| Status | Accuracy | Program |
|---|---|---|
| 87.9% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) | |
| 88.2% | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) | |
| 87.8% | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) z) | |
| 83.8% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| 55.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| ▶ | 88.6% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| 89.2% | (/.f64 (neg.f64 x) (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y))) | |
| ▶ | 95.6% | (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
| 88.3% | (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) | |
| ▶ | 82.3% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
| ▶ | 59.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| ▶ | 54.1% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
Compiled 260 to 214 computations (17.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | (*.f64 (/.f64 z x) y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) | |
| cost-diff | 0 | (neg.f64 (sin.f64 y)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) z) | |
| cost-diff | 0 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (/.f64 (/.f64 (sin.f64 y) y) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 169 |
| 0 | 50 | 167 |
| 1 | 89 | 167 |
| 2 | 171 | 167 |
| 3 | 505 | 167 |
| 4 | 1486 | 167 |
| 5 | 2567 | 167 |
| 6 | 4246 | 167 |
| 7 | 6074 | 167 |
| 8 | 7855 | 167 |
| 0 | 8301 | 167 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
x |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
x |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(sin.f64 y) |
y |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
z |
x |
| Outputs |
|---|
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
x |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
x |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(sin.f64 y) |
y |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
z |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 z x) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 4.3160342950028765 | (*.f64 (/.f64 z x) y) | |
| accuracy | 5.465098046559109 | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) | |
| accuracy | 0 | (neg.f64 (sin.f64 y)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 5.3683449322039385 | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) | |
| accuracy | 6.028996212882302 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| accuracy | 0.06640625 | (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) | |
| accuracy | 2.139355775109399 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) | |
| accuracy | 2.497373008908278 | (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) | |
| accuracy | 29.19641264035137 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 25.951089335633405 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.09603500976844201 | (/.f64 (/.f64 (sin.f64 y) y) z) | |
| accuracy | 0.12890625 | (/.f64 (sin.f64 y) y) | |
| accuracy | 2.721860640734567 | (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
| 85.0ms | 256× | 0 | valid |
Compiled 327 to 60 computations (81.7% saved)
ival-div: 24.0ms (43.9% of total)ival-mult: 13.0ms (23.8% of total)const: 7.0ms (12.8% of total)ival-sin: 6.0ms (11% of total)ival-add: 2.0ms (3.7% of total)ival-neg: 2.0ms (3.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (/.f64 (sin.f64 y) y) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 x (*.f64 (neg.f64 y) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 z x) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 z x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (/.f64 (sin.f64 y) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (/.f64 (sin.f64 y) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (/.f64 (sin.f64 y) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (/.f64 (sin.f64 y) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 x (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 x (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 x (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 x (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (/.f64 (sin.f64 y) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (/.f64 (sin.f64 y) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (/.f64 (sin.f64 y) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (/.f64 (sin.f64 y) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | y | @ | 0 | ((* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (/ x (* (neg y) z)) (* (neg y) z) (neg y) (neg (sin y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (+ (* 1/120 (* y y)) -1/6) (* (/ x (* (neg y) z)) (neg (sin y)))) |
| 7.0ms | z | @ | -inf | ((* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (/ x (* (neg y) z)) (* (neg y) z) (neg y) (neg (sin y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (+ (* 1/120 (* y y)) -1/6) (* (/ x (* (neg y) z)) (neg (sin y)))) |
| 4.0ms | z | @ | 0 | ((* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (/ x (* (neg y) z)) (* (neg y) z) (neg y) (neg (sin y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (+ (* 1/120 (* y y)) -1/6) (* (/ x (* (neg y) z)) (neg (sin y)))) |
| 4.0ms | y | @ | inf | ((* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (/ x (* (neg y) z)) (* (neg y) z) (neg y) (neg (sin y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (+ (* 1/120 (* y y)) -1/6) (* (/ x (* (neg y) z)) (neg (sin y)))) |
| 4.0ms | z | @ | inf | ((* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (/ x (* (neg y) z)) (* (neg y) z) (neg y) (neg (sin y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (+ (* 1/120 (* y y)) -1/6) (* (/ x (* (neg y) z)) (neg (sin y)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 3781 |
| 1 | 359 | 3781 |
| 2 | 957 | 3727 |
| 3 | 2921 | 3689 |
| 4 | 6561 | 3689 |
| 0 | 8212 | 3512 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ 1 z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/ 1 z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* 1/120 (/ (* x (pow y 4)) z)) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (* 1/120 (/ x z)))) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (+ (* 1/120 (/ x z)) (/ x (* (pow y 4) z))))) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (+ (* 1/120 (/ x z)) (/ x (* (pow y 4) z))))) |
(* 1/120 (/ (pow y 4) z)) |
(* (pow y 4) (- (* 1/120 (/ 1 z)) (* 1/6 (/ 1 (* (pow y 2) z))))) |
(* (pow y 4) (- (+ (* 1/120 (/ 1 z)) (/ 1 (* (pow y 4) z))) (/ 1/6 (* (pow y 2) z)))) |
(* (pow y 4) (- (+ (* 1/120 (/ 1 z)) (/ 1 (* (pow y 4) z))) (/ 1/6 (* (pow y 2) z)))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* 1/120 (/ (* x (pow y 4)) z)) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (* 1/120 (/ x z)))) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (+ (* 1/120 (/ x z)) (/ x (* (pow y 4) z))))) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (+ (* 1/120 (/ x z)) (/ x (* (pow y 4) z))))) |
(* 1/120 (/ (pow y 4) z)) |
(* (pow y 4) (- (* 1/120 (/ 1 z)) (* 1/6 (/ 1 (* (pow y 2) z))))) |
(* (pow y 4) (- (+ (* 1/120 (/ 1 z)) (/ 1 (* (pow y 4) z))) (/ 1/6 (* (pow y 2) z)))) |
(* (pow y 4) (- (+ (* 1/120 (/ 1 z)) (/ 1 (* (pow y 4) z))) (/ 1/6 (* (pow y 2) z)))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(*.f64 (neg.f64 z) y) |
(*.f64 (neg.f64 z) y) |
(*.f64 (neg.f64 z) y) |
(*.f64 (neg.f64 z) y) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (*.f64 z y) x) |
(/.f64 (*.f64 z y) x) |
(/.f64 (*.f64 z y) x) |
(/.f64 (*.f64 z y) x) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
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(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (*.f64 z y) x) |
(/.f64 (*.f64 z y) x) |
(/.f64 (*.f64 z y) x) |
(/.f64 (*.f64 z y) x) |
(*.f64 #s(literal 1/120 binary64) (*.f64 y y)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (*.f64 z y) x) |
(/.f64 (*.f64 z y) x) |
(/.f64 (*.f64 z y) x) |
(/.f64 (*.f64 z y) x) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (*.f64 z y) x) |
(/.f64 (*.f64 z y) x) |
(/.f64 (*.f64 z y) x) |
(/.f64 (*.f64 z y) x) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(/.f64 x z) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (*.f64 z y) x) |
(/.f64 (*.f64 z y) x) |
(/.f64 (*.f64 z y) x) |
(/.f64 (*.f64 z y) x) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 145 |
| 0 | 50 | 143 |
| 1 | 160 | 143 |
| 2 | 936 | 143 |
| 0 | 8506 | 143 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
(neg.f64 (sin.f64 y)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
| Outputs |
|---|
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Compiled 39 263 to 3 554 computations (90.9% saved)
18 alts after pruning (14 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 897 | 9 | 1 906 |
| Fresh | 2 | 5 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 900 | 18 | 1 918 |
| Status | Accuracy | Program |
|---|---|---|
| 87.9% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) | |
| 84.4% | (/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x)) | |
| 83.8% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| 55.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| ✓ | 88.6% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| ▶ | 89.2% | (/.f64 (neg.f64 x) (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y))) |
| ✓ | 95.6% | (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
| 88.3% | (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) | |
| 87.0% | (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) | |
| ▶ | 85.4% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
| ▶ | 59.3% | (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
| ✓ | 82.3% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
| 54.7% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) | |
| ▶ | 55.4% | (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
| 58.8% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) | |
| ✓ | 59.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 59.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) | |
| ▶ | 57.0% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) |
Compiled 366 to 298 computations (18.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| cost-diff | 0 | (/.f64 (*.f64 y y) z) | |
| cost-diff | 0 | #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) | |
| cost-diff | 704 | (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) | |
| cost-diff | 0 | (/.f64 z (sin.f64 y)) | |
| cost-diff | 0 | (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 256 | (/.f64 (neg.f64 x) (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y))) |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 185 |
| 0 | 53 | 187 |
| 1 | 97 | 187 |
| 2 | 189 | 183 |
| 3 | 470 | 183 |
| 4 | 1368 | 183 |
| 5 | 3039 | 183 |
| 6 | 4732 | 177 |
| 7 | 5930 | 177 |
| 8 | 6172 | 177 |
| 9 | 6191 | 177 |
| 10 | 6214 | 177 |
| 11 | 6923 | 177 |
| 12 | 7341 | 177 |
| 13 | 7551 | 177 |
| 14 | 7551 | 177 |
| 15 | 7551 | 177 |
| 16 | 7737 | 177 |
| 0 | 8127 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (neg.f64 x) (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y))) |
(neg.f64 x) |
x |
(*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y)) |
(/.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(neg.f64 y) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 x z) |
x |
z |
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
#s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
#s(literal -1/6 binary64) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
x |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(/.f64 x y) |
x |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(neg.f64 x) |
x |
(*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)) |
(/.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(neg.f64 y) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 x z) |
x |
z |
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) x) |
#s(approx (/ (/ (sin y) y) z) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
#s(literal -1/6 binary64) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
x |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(/.f64 x y) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.09765625 | (/.f64 (sin.f64 y) z) | |
| accuracy | 9.255609006962784 | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| accuracy | 0.08203125 | (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 2.721860640734567 | (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) | |
| accuracy | 6.358889078214786 | (/.f64 (*.f64 y y) z) | |
| accuracy | 30.47706044803871 | #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.1171875 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 4.39079348787918 | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) | |
| accuracy | 28.390425508836014 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) | |
| accuracy | 0.09603500976844201 | (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) | |
| accuracy | 2.721860640734567 | (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) | |
| accuracy | 30.466141314433322 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.125 | (/.f64 z (sin.f64 y)) | |
| accuracy | 2.816384773512696 | (/.f64 (neg.f64 x) (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y))) | |
| accuracy | 6.383505535996618 | (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y)) |
| 88.0ms | 256× | 0 | valid |
Compiled 336 to 62 computations (81.5% saved)
ival-div: 22.0ms (43.2% of total)ival-mult: 11.0ms (21.6% of total)ival-sin: 6.0ms (11.8% of total)const: 6.0ms (11.8% of total)ival-add: 2.0ms (3.9% of total)ival-neg: 2.0ms (3.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 (neg.f64 x) (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 z (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 y y) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 z (sin.f64 y)) (neg.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 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | y | @ | 0 | ((/ (neg x) (* (/ z (sin y)) (neg y))) (neg x) (* (/ z (sin y)) (neg y)) (/ z (sin y)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (* (+ (* -1/6 (* y y)) 1) (/ x z)) (+ (* -1/6 (* y y)) 1) (* y y) (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (* y y) z) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (sin y) (/ x y)) |
| 10.0ms | y | @ | inf | ((/ (neg x) (* (/ z (sin y)) (neg y))) (neg x) (* (/ z (sin y)) (neg y)) (/ z (sin y)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (* (+ (* -1/6 (* y y)) 1) (/ x z)) (+ (* -1/6 (* y y)) 1) (* y y) (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (* y y) z) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (sin y) (/ x y)) |
| 4.0ms | z | @ | 0 | ((/ (neg x) (* (/ z (sin y)) (neg y))) (neg x) (* (/ z (sin y)) (neg y)) (/ z (sin y)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (* (+ (* -1/6 (* y y)) 1) (/ x z)) (+ (* -1/6 (* y y)) 1) (* y y) (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (* y y) z) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (sin y) (/ x y)) |
| 4.0ms | z | @ | -inf | ((/ (neg x) (* (/ z (sin y)) (neg y))) (neg x) (* (/ z (sin y)) (neg y)) (/ z (sin y)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (* (+ (* -1/6 (* y y)) 1) (/ x z)) (+ (* -1/6 (* y y)) 1) (* y y) (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (* y y) z) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (sin y) (/ x y)) |
| 3.0ms | y | @ | -inf | ((/ (neg x) (* (/ z (sin y)) (neg y))) (neg x) (* (/ z (sin y)) (neg y)) (/ z (sin y)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (* (+ (* -1/6 (* y y)) 1) (/ x z)) (+ (* -1/6 (* y y)) 1) (* y y) (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (* y y) z) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (sin y) (/ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 3540 |
| 1 | 396 | 3524 |
| 2 | 1236 | 3452 |
| 3 | 4423 | 3415 |
| 0 | 8896 | 3281 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 (/ (* y z) (sin y))) |
(* -1 (/ (* y z) (sin y))) |
(* -1 (/ (* y z) (sin y))) |
(* -1 (/ (* y z) (sin y))) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (+ 1 (* -1/6 (pow y 2))) z) |
(/ (+ 1 (* -1/6 (pow y 2))) z) |
(/ (+ 1 (* -1/6 (pow y 2))) z) |
(/ (+ 1 (* -1/6 (pow y 2))) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 (/ (* y z) (sin y))) |
(* -1 (/ (* y z) (sin y))) |
(* -1 (/ (* y z) (sin y))) |
(* -1 (/ (* y z) (sin y))) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (+ 1 (* -1/6 (pow y 2))) z) |
(/ (+ 1 (* -1/6 (pow y 2))) z) |
(/ (+ 1 (* -1/6 (pow y 2))) z) |
(/ (+ 1 (* -1/6 (pow y 2))) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 (/ (* y z) (sin y))) |
(* -1 (/ (* y z) (sin y))) |
(* -1 (/ (* y z) (sin y))) |
(* -1 (/ (* y z) (sin y))) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(* -1 (/ (- (* 1/6 (pow y 2)) 1) z)) |
(* -1 (/ (- (* 1/6 (pow y 2)) 1) z)) |
(* -1 (/ (- (* 1/6 (pow y 2)) 1) z)) |
(* -1 (/ (- (* 1/6 (pow y 2)) 1) z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(* -1 z) |
(+ (* -1 z) (* -1/6 (* (pow y 2) z))) |
(+ (* -1 z) (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))))) |
(+ (* -1 z) (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/36 z) (+ (* 1/120 z) (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z)))))))))))) |
(/ z y) |
(/ (+ z (* 1/6 (* (pow y 2) z))) y) |
(/ (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y) |
(/ (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ 1 z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ 1 z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ 1 z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 (/ (* y z) (sin y))) |
(* -1 (/ (* y z) (sin y))) |
(* -1 (/ (* y z) (sin y))) |
(* -1 (/ (* y z) (sin y))) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* -1/6 (/ (pow y 2) z)) |
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z)))) |
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z)))) |
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z)))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 (/ (* y z) (sin y))) |
(* -1 (/ (* y z) (sin y))) |
(* -1 (/ (* y z) (sin y))) |
(* -1 (/ (* y z) (sin y))) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* -1/6 (/ (pow y 2) z)) |
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z)))) |
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z)))) |
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z)))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)) |
(*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)) |
(*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)) |
(*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)) |
(/.f64 z (sin.f64 y)) |
(/.f64 z (sin.f64 y)) |
(/.f64 z (sin.f64 y)) |
(/.f64 z (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (*.f64 y y) z) |
(/.f64 (*.f64 y y) z) |
(/.f64 (*.f64 y y) z) |
(/.f64 (*.f64 y y) z) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (sin.f64 y) z) |
(/.f64 (sin.f64 y) z) |
(/.f64 (sin.f64 y) z) |
(/.f64 (sin.f64 y) z) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)) |
(*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)) |
(*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)) |
(*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)) |
(/.f64 z (sin.f64 y)) |
(/.f64 z (sin.f64 y)) |
(/.f64 z (sin.f64 y)) |
(/.f64 z (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
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(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (*.f64 y y) z) |
(/.f64 (*.f64 y y) z) |
(/.f64 (*.f64 y y) z) |
(/.f64 (*.f64 y y) z) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (sin.f64 y) z) |
(/.f64 (sin.f64 y) z) |
(/.f64 (sin.f64 y) z) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(sin.f64 y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 153 |
| 0 | 53 | 155 |
| 1 | 181 | 151 |
| 2 | 1237 | 151 |
| 0 | 8521 | 151 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (neg.f64 x) (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y))) |
(neg.f64 x) |
(*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y)) |
(/.f64 z (sin.f64 y)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
#s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 y y) z) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
(/.f64 x y) |
| Outputs |
|---|
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Compiled 26 856 to 2 573 computations (90.4% saved)
26 alts after pruning (20 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 416 | 14 | 1 430 |
| Fresh | 3 | 6 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 422 | 26 | 1 448 |
| Status | Accuracy | Program |
|---|---|---|
| 87.9% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) | |
| 84.4% | (/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x)) | |
| 83.8% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| 55.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| ✓ | 88.6% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| 61.3% | (/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z) y)) (neg.f64 y))) | |
| 61.2% | (/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z) y)) (neg.f64 y))) | |
| 53.0% | (/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 z y)) (neg.f64 y))) | |
| 67.7% | (/.f64 (neg.f64 x) #s(approx (* (/ z (sin y)) (neg y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) z))) | |
| ▶ | 59.5% | (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 z x)) |
| ▶ | 89.2% | (/.f64 x (*.f64 (/.f64 z (sin.f64 y)) y)) |
| ✓ | 95.6% | (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
| 87.0% | (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) | |
| ✓ | 85.4% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
| ✓ | 59.3% | (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
| 54.7% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) | |
| 82.3% | (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) | |
| 41.7% | (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (fma.f64 #s(literal -1 binary64) z (*.f64 (*.f64 (neg.f64 z) #s(literal -1/6 binary64)) (*.f64 y y))) (*.f64 (neg.f64 z) z))) x) | |
| 12.8% | (*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) | |
| ▶ | 51.5% | (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
| ▶ | 57.2% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x))) |
| ✓ | 59.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 57.2% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) | |
| ✓ | 57.0% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) |
| ▶ | 57.0% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (/.f64 x z))) |
| 14.2% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
Compiled 705 to 535 computations (24.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (/.f64 x z)) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (/.f64 x z))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x))) | |
| cost-diff | 384 | (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (/ (sin y) z) (/.f64 y z)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) | |
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| cost-diff | 384 | (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 z x)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 z (sin.f64 y)) | |
| cost-diff | 0 | (*.f64 (/.f64 z (sin.f64 y)) y) | |
| cost-diff | 0 | (/.f64 x (*.f64 (/.f64 z (sin.f64 y)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 192 |
| 0 | 48 | 180 |
| 1 | 80 | 180 |
| 2 | 138 | 180 |
| 3 | 251 | 180 |
| 4 | 492 | 180 |
| 5 | 946 | 180 |
| 6 | 1168 | 180 |
| 7 | 1304 | 180 |
| 8 | 1436 | 180 |
| 9 | 1449 | 180 |
| 10 | 1449 | 180 |
| 11 | 1449 | 180 |
| 0 | 1449 | 180 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 (/.f64 z (sin.f64 y)) y)) |
x |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 z x)) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 z x) |
z |
x |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(/.f64 x y) |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x))) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 z x) |
z |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (/.f64 x z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (/.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
(/.f64 x z) |
x |
z |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
x |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 z x) |
z |
x |
(*.f64 (/.f64 x y) #s(approx (/ (sin y) z) (/.f64 y z))) |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(/.f64 x y) |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 z x) |
z |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
(/.f64 x z) |
x |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.4581295855759874 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 4.39079348787918 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (/.f64 x z)) | |
| accuracy | 28.390425508836014 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (/.f64 x z))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.1171875 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 4.713109877409565 | (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x)) | |
| accuracy | 28.390425508836014 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x))) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 9.255609006962784 | (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) | |
| accuracy | 30.585017654127977 | #s(approx (/ (sin y) z) (/.f64 y z)) | |
| accuracy | 0 | (/.f64 z x) | |
| accuracy | 2.0278040308858785 | (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 z x)) | |
| accuracy | 30.466141314433322 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.125 | (/.f64 z (sin.f64 y)) | |
| accuracy | 2.816384773512696 | (/.f64 x (*.f64 (/.f64 z (sin.f64 y)) y)) | |
| accuracy | 6.383505535996618 | (*.f64 (/.f64 z (sin.f64 y)) y) |
| 77.0ms | 256× | 0 | valid |
Compiled 354 to 58 computations (83.6% saved)
ival-div: 36.0ms (63.6% of total)ival-mult: 9.0ms (15.9% of total)ival-sin: 6.0ms (10.6% of total)const: 4.0ms (7.1% of total)ival-add: 1.0ms (1.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 x (*.f64 (/.f64 z (sin.f64 y)) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 z (sin.f64 y)) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 z (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 z x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
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| Outputs |
|---|
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | z | @ | -inf | ((/ x (* (/ z (sin y)) y)) (* (/ z (sin y)) y) (/ z (sin y)) (sin y) (/ (/ (sin y) y) (/ z x)) (/ (sin y) y) (/ z x) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ y z) (/ x y) (/ (+ (* (* y y) -1/6) 1) (/ z x)) (/ (* x (/ (sin y) y)) z) (+ (* (* y y) -1/6) 1) (* y y) (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (/ (* x (/ (sin y) y)) z) (* (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (/ x z)) (/ 1 (+ (* (* y y) -1/6) 1))) |
| 3.0ms | y | @ | -inf | ((/ x (* (/ z (sin y)) y)) (* (/ z (sin y)) y) (/ z (sin y)) (sin y) (/ (/ (sin y) y) (/ z x)) (/ (sin y) y) (/ z x) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ y z) (/ x y) (/ (+ (* (* y y) -1/6) 1) (/ z x)) (/ (* x (/ (sin y) y)) z) (+ (* (* y y) -1/6) 1) (* y y) (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (/ (* x (/ (sin y) y)) z) (* (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (/ x z)) (/ 1 (+ (* (* y y) -1/6) 1))) |
| 3.0ms | z | @ | 0 | ((/ x (* (/ z (sin y)) y)) (* (/ z (sin y)) y) (/ z (sin y)) (sin y) (/ (/ (sin y) y) (/ z x)) (/ (sin y) y) (/ z x) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ y z) (/ x y) (/ (+ (* (* y y) -1/6) 1) (/ z x)) (/ (* x (/ (sin y) y)) z) (+ (* (* y y) -1/6) 1) (* y y) (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (/ (* x (/ (sin y) y)) z) (* (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (/ x z)) (/ 1 (+ (* (* y y) -1/6) 1))) |
| 3.0ms | y | @ | inf | ((/ x (* (/ z (sin y)) y)) (* (/ z (sin y)) y) (/ z (sin y)) (sin y) (/ (/ (sin y) y) (/ z x)) (/ (sin y) y) (/ z x) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ y z) (/ x y) (/ (+ (* (* y y) -1/6) 1) (/ z x)) (/ (* x (/ (sin y) y)) z) (+ (* (* y y) -1/6) 1) (* y y) (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (/ (* x (/ (sin y) y)) z) (* (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (/ x z)) (/ 1 (+ (* (* y y) -1/6) 1))) |
| 2.0ms | z | @ | inf | ((/ x (* (/ z (sin y)) y)) (* (/ z (sin y)) y) (/ z (sin y)) (sin y) (/ (/ (sin y) y) (/ z x)) (/ (sin y) y) (/ z x) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ y z) (/ x y) (/ (+ (* (* y y) -1/6) 1) (/ z x)) (/ (* x (/ (sin y) y)) z) (+ (* (* y y) -1/6) 1) (* y y) (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (/ (* x (/ (sin y) y)) z) (* (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (/ x z)) (/ 1 (+ (* (* y y) -1/6) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 3572 |
| 1 | 427 | 3558 |
| 2 | 1277 | 3486 |
| 3 | 4351 | 3450 |
| 0 | 8347 | 3300 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
z |
(+ z (* 1/6 (* (pow y 2) z))) |
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) |
(+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) |
(/ z y) |
(/ (+ z (* 1/6 (* (pow y 2) z))) y) |
(/ (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y) |
(/ (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/36 (* 1/216 (pow y 2))))))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(/ -6 (pow y 2)) |
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))) |
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2)) |
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(/ z (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(/ -6 (pow y 2)) |
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))) |
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2)) |
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(/.f64 z (sin.f64 y)) |
(/.f64 z (sin.f64 y)) |
(/.f64 z (sin.f64 y)) |
(/.f64 z (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (sin.f64 y) z) |
(/.f64 (sin.f64 y) z) |
(/.f64 (sin.f64 y) z) |
(/.f64 (sin.f64 y) z) |
(/.f64 y z) |
(/.f64 y z) |
(/.f64 y z) |
(/.f64 y z) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(/.f64 z (sin.f64 y)) |
(/.f64 z (sin.f64 y)) |
(/.f64 z (sin.f64 y)) |
(/.f64 z (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (sin.f64 y) z) |
(/.f64 (sin.f64 y) z) |
(/.f64 (sin.f64 y) z) |
(/.f64 (sin.f64 y) z) |
(/.f64 y z) |
(/.f64 y z) |
(/.f64 y z) |
(/.f64 y z) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(/.f64 z (sin.f64 y)) |
(/.f64 z (sin.f64 y)) |
(/.f64 z (sin.f64 y)) |
(/.f64 z (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(/.f64 z x) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (sin.f64 y) z) |
(/.f64 (sin.f64 y) z) |
(/.f64 (sin.f64 y) z) |
(/.f64 (sin.f64 y) z) |
(/.f64 y z) |
(/.f64 y z) |
(/.f64 y z) |
(/.f64 y z) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(/.f64 x z) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) x) z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (/.f64 x z)) |
z |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z #s(literal 31/15120 binary64)) (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 y y) z) |
(/.f64 z y) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z) y) |
(/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z) y) |
(/.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z #s(literal 31/15120 binary64)) (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 y y) z) y) |
y |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(/.f64 x z) |
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(/.f64 x y) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 158 |
| 0 | 48 | 146 |
| 1 | 164 | 146 |
| 2 | 926 | 146 |
| 0 | 8146 | 146 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 (/.f64 z (sin.f64 y)) y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/.f64 z (sin.f64 y)) |
(sin.f64 y) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 z x)) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(/.f64 z x) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(/.f64 y z) |
(/.f64 x y) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (/.f64 x z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (/.f64 x z)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
| Outputs |
|---|
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Compiled 49 188 to 3 733 computations (92.4% saved)
30 alts after pruning (21 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 024 | 10 | 2 034 |
| Fresh | 4 | 11 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 2 030 | 30 | 2 060 |
| Status | Accuracy | Program |
|---|---|---|
| 87.9% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) | |
| 84.4% | (/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x)) | |
| 83.8% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| 55.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| ✓ | 88.6% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| 67.7% | (/.f64 (neg.f64 x) #s(approx (* (/ z (sin y)) (neg y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) z))) | |
| ✓ | 59.5% | (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 z x)) |
| ✓ | 89.2% | (/.f64 x (*.f64 (/.f64 z (sin.f64 y)) y)) |
| 53.0% | (/.f64 x (*.f64 #s(approx (/ z (sin y)) (/.f64 z y)) y)) | |
| 67.7% | (/.f64 x #s(approx (* (/ z (sin y)) y) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) | |
| 67.5% | (/.f64 x #s(approx (* (/ z (sin y)) y) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) | |
| ✓ | 95.6% | (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
| 87.0% | (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) | |
| ✓ | 85.4% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
| ✓ | 59.3% | (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
| 54.7% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) | |
| 82.3% | (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) | |
| 41.7% | (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (fma.f64 #s(literal -1 binary64) z (*.f64 (*.f64 (neg.f64 z) #s(literal -1/6 binary64)) (*.f64 y y))) (*.f64 (neg.f64 z) z))) x) | |
| 12.8% | (*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) | |
| ✓ | 51.5% | (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
| 51.5% | (*.f64 #s(approx (/ (sin y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))) (/.f64 x y)) | |
| 14.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 z x))) | |
| ✓ | 59.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 57.2% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) | |
| 58.2% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) x)))) | |
| ✓ | 57.0% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) |
| 55.9% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (/.f64 x z))) | |
| 14.2% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) (/.f64 x z))) | |
| 68.3% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y y) -1/6) 1)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (/.f64 x z))) | |
| 14.2% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
Compiled 1 271 to 562 computations (55.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 x #s(approx (* (/ z (sin y)) y) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ z (sin y)) (/.f64 z y)) y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (neg.f64 x) #s(approx (* (/ z (sin y)) (neg y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) z))) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 z y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x))) |
(*.f64 #s(approx (/ (sin y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))) (/.f64 x y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y y) -1/6) 1)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 x #s(approx (* (/ z (sin y)) y) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (fma.f64 #s(literal -1 binary64) z (*.f64 (*.f64 (neg.f64 z) #s(literal -1/6 binary64)) (*.f64 y y))) (*.f64 (neg.f64 z) z))) x) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z) y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (/.f64 x z))) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z) y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) x)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (/.f64 x z))) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(/.f64 x (*.f64 (/.f64 z (sin.f64 y)) y)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (neg.f64 x) (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y))) |
(/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) z) |
| Outputs |
|---|
(/.f64 x (*.f64 (/.f64 z (sin.f64 y)) y)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
6 calls:
| 29.0ms | (/.f64 (sin.f64 y) y) |
| 20.0ms | z |
| 16.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 15.0ms | x |
| 15.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | x |
| 96.8% | 1 | y |
| 99.8% | 2 | z |
| 96.8% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 96.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 96.8% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 x #s(approx (* (/ z (sin y)) y) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ z (sin y)) (/.f64 z y)) y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (neg.f64 x) #s(approx (* (/ z (sin y)) (neg y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) z))) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 z y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x))) |
(*.f64 #s(approx (/ (sin y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))) (/.f64 x y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y y) -1/6) 1)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 x #s(approx (* (/ z (sin y)) y) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (fma.f64 #s(literal -1 binary64) z (*.f64 (*.f64 (neg.f64 z) #s(literal -1/6 binary64)) (*.f64 y y))) (*.f64 (neg.f64 z) z))) x) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z) y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (/.f64 x z))) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z) y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) x)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (/.f64 x z))) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(/.f64 x (*.f64 (/.f64 z (sin.f64 y)) y)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
2 calls:
| 16.0ms | z |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 1 | x |
| 99.7% | 2 | z |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 x #s(approx (* (/ z (sin y)) y) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ z (sin y)) (/.f64 z y)) y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (neg.f64 x) #s(approx (* (/ z (sin y)) (neg y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) z))) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 z y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x))) |
(*.f64 #s(approx (/ (sin y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))) (/.f64 x y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y y) -1/6) 1)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 x #s(approx (* (/ z (sin y)) y) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (fma.f64 #s(literal -1 binary64) z (*.f64 (*.f64 (neg.f64 z) #s(literal -1/6 binary64)) (*.f64 y y))) (*.f64 (neg.f64 z) z))) x) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z) y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (/.f64 x z))) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z) y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) x)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (/.f64 x z))) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
6 calls:
| 17.0ms | z |
| 15.0ms | y |
| 12.0ms | (/.f64 (sin.f64 y) y) |
| 11.0ms | x |
| 11.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.8% | 3 | x |
| 96.8% | 2 | y |
| 97.2% | 3 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 95.2% | 3 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 96.8% | 2 | (/.f64 (sin.f64 y) y) |
| 95.5% | 3 | z |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 x #s(approx (* (/ z (sin y)) y) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ z (sin y)) (/.f64 z y)) y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (neg.f64 x) #s(approx (* (/ z (sin y)) (neg y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) z))) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 z y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x))) |
(*.f64 #s(approx (/ (sin y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))) (/.f64 x y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y y) -1/6) 1)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 x #s(approx (* (/ z (sin y)) y) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (fma.f64 #s(literal -1 binary64) z (*.f64 (*.f64 (neg.f64 z) #s(literal -1/6 binary64)) (*.f64 y y))) (*.f64 (neg.f64 z) z))) x) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z) y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (/.f64 x z))) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z) y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) x)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (/.f64 x z))) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
3 calls:
| 11.0ms | y |
| 11.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 10.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.5% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 95.5% | 2 | y |
| 95.5% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 13 to 15 computations (-15.4% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 x #s(approx (* (/ z (sin y)) y) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ z (sin y)) (/.f64 z y)) y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (neg.f64 x) #s(approx (* (/ z (sin y)) (neg y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) z))) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 z y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x))) |
(*.f64 #s(approx (/ (sin y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))) (/.f64 x y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y y) -1/6) 1)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 x #s(approx (* (/ z (sin y)) y) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (fma.f64 #s(literal -1 binary64) z (*.f64 (*.f64 (neg.f64 z) #s(literal -1/6 binary64)) (*.f64 y y))) (*.f64 (neg.f64 z) z))) x) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z) y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (/.f64 x z))) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z) y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) x)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (/.f64 x z))) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
2 calls:
| 14.0ms | y |
| 9.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.5% | 2 | y |
| 95.5% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 x #s(approx (* (/ z (sin y)) y) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ z (sin y)) (/.f64 z y)) y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (neg.f64 x) #s(approx (* (/ z (sin y)) (neg y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) z))) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 z y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x))) |
(*.f64 #s(approx (/ (sin y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))) (/.f64 x y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y y) -1/6) 1)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 x #s(approx (* (/ z (sin y)) y) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (fma.f64 #s(literal -1 binary64) z (*.f64 (*.f64 (neg.f64 z) #s(literal -1/6 binary64)) (*.f64 y y))) (*.f64 (neg.f64 z) z))) x) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z) y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (/.f64 x z))) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z) y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) x)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (/.f64 x z))) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y y) -1/6) 1)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (/.f64 x z))) |
6 calls:
| 11.0ms | y |
| 11.0ms | z |
| 10.0ms | x |
| 9.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 9.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.7% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 68.3% | 1 | x |
| 70.6% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 68.3% | 1 | z |
| 68.3% | 1 | y |
| 68.3% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 x #s(approx (* (/ z (sin y)) y) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ z (sin y)) (/.f64 z y)) y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (neg.f64 x) #s(approx (* (/ z (sin y)) (neg y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) z))) |
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ z (sin y)) (/.f64 z y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x))) |
(*.f64 #s(approx (/ (sin y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))) (/.f64 x y)) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
(/.f64 x #s(approx (* (/ z (sin y)) y) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
2 calls:
| 11.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 6.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.9% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 70.0% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 14 to 13 computations (7.1% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
6 calls:
| 5.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 5.0ms | (/.f64 (sin.f64 y) y) |
| 4.0ms | z |
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.0% | 2 | (/.f64 (sin.f64 y) y) |
| 68.2% | 2 | y |
| 64.2% | 2 | z |
| 63.3% | 2 | x |
| 69.2% | 3 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 70.4% | 3 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ 1 (/ 1 (+ (* (* y y) -1/6) 1))) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
1 calls:
| 3.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.4% | 3 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
3 calls:
| 2.0ms | y |
| 2.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.9% | 2 | (/.f64 (sin.f64 y) y) |
| 67.9% | 2 | y |
| 67.9% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 13 to 15 computations (-15.4% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 z x)) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
6 calls:
| 4.0ms | y |
| 2.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.5% | 1 | x |
| 59.5% | 1 | z |
| 59.5% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 59.5% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 59.5% | 1 | y |
| 59.5% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 21 to 27 computations (-28.6% saved)
Total -0.1b remaining (-0.5%)
Threshold costs -0.1b (-0.5%)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
6 calls:
| 16.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.5% | 1 | y |
| 59.5% | 1 | z |
| 59.5% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 59.5% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 59.5% | 1 | (/.f64 (sin.f64 y) y) |
| 59.5% | 1 | x |
Compiled 21 to 27 computations (-28.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 523292872360164350.0 | 4.844662333218503e+19 |
| 9.0ms | 112× | 0 | valid |
Compiled 123 to 125 computations (-1.6% saved)
ival-sin: 4.0ms (66.7% of total)ival-div: 1.0ms (16.7% of total)ival-mult: 1.0ms (16.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.286259719200706e+111 | 4.081144833741049e+112 |
| 6.0ms | 96× | 0 | valid |
Compiled 107 to 109 computations (-1.9% saved)
ival-sin: 2.0ms (49% of total)ival-div: 1.0ms (24.5% of total)ival-mult: 1.0ms (24.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999967253 | 0.9999999999999941 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999967253 | 0.9999999999999941 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999967253 | 0.9999999999999941 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.01246705141894e-50 | -7.138611186952031e-90 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.01246705141894e-50 | -7.138611186952031e-90 |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.672946350784111e-300 | 3.9732726889831337e-289 |
| 0.0ms | -6.272785214556194e-181 | -6.330169787765286e-196 |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.672946350784111e-300 | 3.9732726889831337e-289 |
| 0.0ms | -6.272785214556194e-181 | -6.330169787765286e-196 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 5.417521626912953e-11 | 1.8836574392363535e-7 |
| 10.0ms | 96× | 0 | valid |
Compiled 161 to 139 computations (13.7% saved)
ival-sin: 5.0ms (67.1% of total)ival-div: 1.0ms (13.4% of total)ival-mult: 1.0ms (13.4% 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 | 91 | 437 |
| 1 | 113 | 437 |
| 2 | 121 | 437 |
| 3 | 134 | 437 |
| 4 | 148 | 437 |
| 5 | 156 | 437 |
| 6 | 160 | 437 |
| 7 | 161 | 437 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 z #s(literal 530000000000000000 binary64)) (/.f64 x (*.f64 (/.f64 z (sin.f64 y)) y)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 z #s(literal 13000000000000000373151372556741765907088354653537967802023379334133060750905152768222388131346860821627648606208 binary64)) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4503599627361489/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4503599627361489/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4503599627361489/4503599627370496 binary64)) (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -8424983333484575/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y y) -1/6) 1)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -8424983333484575/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) (/.f64 x #s(approx (* (/ z (sin y)) y) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -583992399055641/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 7540071506325551/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -583992399055641/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 7540071506325551/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 y #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| Outputs |
|---|
(if (<=.f64 z #s(literal 530000000000000000 binary64)) (/.f64 x (*.f64 (/.f64 z (sin.f64 y)) y)) (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z)) |
(if (<=.f64 z #s(literal 13000000000000000373151372556741765907088354653537967802023379334133060750905152768222388131346860821627648606208 binary64)) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4503599627361489/4503599627370496 binary64)) (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4503599627361489/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 4503599627361489/4503599627370496 binary64)) (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) #s(literal -8424983333484575/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y y) -1/6) 1)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) #s(literal -8424983333484575/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) (/.f64 x #s(approx (* (/ z (sin y)) y) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) #s(literal -583992399055641/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) (if (<=.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) #s(literal 7540071506325551/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) #s(literal -583992399055641/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 x z))) (if (<=.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) #s(literal 7540071506325551/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 y #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 3572 |
| 1 | 427 | 3558 |
| 2 | 1277 | 3486 |
| 3 | 4351 | 3450 |
| 0 | 8347 | 3300 |
| 0 | 128 | 3781 |
| 1 | 359 | 3781 |
| 2 | 957 | 3727 |
| 3 | 2921 | 3689 |
| 4 | 6561 | 3689 |
| 0 | 8212 | 3512 |
| 0 | 62 | 634 |
| 1 | 181 | 634 |
| 2 | 523 | 614 |
| 3 | 1580 | 606 |
| 4 | 2550 | 606 |
| 5 | 4169 | 606 |
| 6 | 4849 | 606 |
| 7 | 5080 | 606 |
| 8 | 5581 | 606 |
| 0 | 8767 | 582 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 31 | 20 |
| 2 | 151 | 20 |
| 3 | 1048 | 20 |
| 4 | 5271 | 20 |
| 0 | 8084 | 20 |
| 0 | 133 | 3540 |
| 1 | 396 | 3524 |
| 2 | 1236 | 3452 |
| 3 | 4423 | 3415 |
| 0 | 8896 | 3281 |
| 0 | 32 | 153 |
| 0 | 53 | 155 |
| 1 | 181 | 151 |
| 2 | 1237 | 151 |
| 0 | 8521 | 151 |
| 0 | 30 | 145 |
| 0 | 50 | 143 |
| 1 | 160 | 143 |
| 2 | 936 | 143 |
| 0 | 8506 | 143 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 822 to 401 computations (51.2% saved)
(negabs x)
(abs y)
Compiled 1 122 to 336 computations (70.1% saved)
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