
Time bar (total: 12.1s)
| 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 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 8 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 9 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 10 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 11 |
| 23.4% | 23.4% | 76.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 1.8s | 5 841× | 1 | valid |
| 212.0ms | 2 415× | 0 | valid |
ival-cos: 973.0ms (59.6% of total)ival-sin: 276.0ms (16.9% of total)adjust: 113.0ms (6.9% of total)ival-mult: 100.0ms (6.1% of total)ival-add: 92.0ms (5.6% of total)ival-div: 70.0ms (4.3% of total)ival-true: 6.0ms (0.4% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 73 | 124 | (5.536580085005267e-128 1.2037792475741453e-86 5.666119699510019e+162) | 0 | - | (cos.f64 (+.f64 a b)) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 0 | 0 | - | 0 | - | (+.f64 a b) |
| 0 | 0 | - | 0 | - | (sin.f64 b) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | r |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (+.f64 a b)) | sensitivity | 197 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 73 | 0 |
| - | 124 | 59 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 73 | 0 | 0 |
| - | 124 | 0 | 59 |
| number | freq |
|---|---|
| 0 | 59 |
| 1 | 197 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 71.0ms | 382× | 1 | valid |
| 9.0ms | 130× | 0 | valid |
Compiled 97 to 36 computations (62.9% saved)
ival-cos: 17.0ms (31.8% of total)ival-sin: 12.0ms (22.4% of total)adjust: 8.0ms (14.9% of total)ival-add: 6.0ms (11.2% of total)ival-mult: 6.0ms (11.2% of total)ival-div: 4.0ms (7.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 88 |
| 1 | 89 | 84 |
| 2 | 178 | 84 |
| 3 | 431 | 84 |
| 4 | 1079 | 84 |
| 5 | 2510 | 84 |
| 6 | 3268 | 84 |
| 7 | 3664 | 84 |
| 8 | 4244 | 84 |
| 9 | 4620 | 84 |
| 10 | 4632 | 84 |
| 11 | 4636 | 84 |
| 12 | 4636 | 84 |
| 13 | 4676 | 84 |
| 14 | 4692 | 84 |
| 15 | 4692 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 17 | 9 |
| 2 | 19 | 9 |
| 3 | 21 | 9 |
| 4 | 22 | 9 |
| 0 | 22 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(negabs r)
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.5% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 13 | 28 |
| 1 | 17 | 28 |
| 2 | 19 | 28 |
| 3 | 21 | 28 |
| 4 | 22 | 28 |
| 0 | 22 | 28 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
r |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
r |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 b) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) | |
| accuracy | 0.2109375 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| accuracy | 14.94692907750236 | (cos.f64 (+.f64 a b)) |
| 55.0ms | 191× | 1 | valid |
| 5.0ms | 65× | 0 | valid |
Compiled 58 to 18 computations (69% saved)
ival-div: 19.0ms (43.2% of total)ival-cos: 9.0ms (20.5% of total)ival-sin: 6.0ms (13.6% of total)ival-add: 3.0ms (6.8% of total)adjust: 3.0ms (6.8% of total)ival-mult: 3.0ms (6.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | r | @ | 0 | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 3.0ms | b | @ | 0 | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 2.0ms | a | @ | 0 | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 2.0ms | a | @ | inf | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 1.0ms | a | @ | -inf | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 1226 |
| 1 | 660 | 1174 |
| 2 | 2061 | 1116 |
| 3 | 7696 | 1116 |
| 0 | 8276 | 1075 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) a)) a)) |
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a)) a)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(cos.f64 b) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)) |
(fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b)) b (/.f64 r (cos.f64 a))) b) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (sin.f64 a)) (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 (sin.f64 a) (neg.f64 (cos.f64 a))))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) b)) b (/.f64 r (cos.f64 a))) b) |
(/.f64 b (cos.f64 a)) |
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 a) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b) |
b |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(cos.f64 a) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) |
(fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) b (cos.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
(sin.f64 b) |
(sin.f64 b) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
(sin.f64 b) |
(sin.f64 b) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 0 | 13 | 22 |
| 1 | 44 | 22 |
| 2 | 234 | 22 |
| 3 | 1985 | 22 |
| 0 | 10212 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 5 280 to 766 computations (85.5% saved)
32 alts after pruning (32 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 223 | 32 | 255 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 224 | 32 | 256 |
| Status | Accuracy | Program |
|---|---|---|
| 76.4% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) | |
| 76.5% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) | |
| 76.5% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 75.4% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 76.3% | (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 76.5% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 76.4% | (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) | |
| 76.4% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) | |
| 41.5% | (*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| ▶ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) | |
| 99.3% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))))) | |
| ▶ | 76.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))) |
| ▶ | 76.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) | |
| 50.5% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) b (cos.f64 a))))) | |
| 50.2% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) | |
| 57.4% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))) | |
| 50.9% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) | |
| 57.5% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) | |
| 60.0% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) | |
| 52.9% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) | |
| ▶ | 49.2% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) |
| 76.4% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) | |
| 76.4% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))) | |
| 76.4% | (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) | |
| 55.3% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b))))) | |
| ▶ | 49.0% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
| 49.3% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 a) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b))) | |
| 38.8% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 49.1% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) | |
| 60.0% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
Compiled 1 184 to 838 computations (29.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))) | |
| cost-diff | 14208 | (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) | |
| cost-diff | 0 | #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) | |
| cost-diff | 0 | (cos.f64 a) | |
| cost-diff | 0 | (/.f64 b (cos.f64 a)) | |
| cost-diff | 0 | #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) | |
| cost-diff | 0 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) | |
| cost-diff | 0 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 285 |
| 0 | 70 | 259 |
| 1 | 106 | 243 |
| 2 | 176 | 243 |
| 3 | 341 | 243 |
| 4 | 850 | 243 |
| 5 | 1884 | 243 |
| 6 | 2264 | 243 |
| 7 | 2718 | 243 |
| 8 | 3809 | 243 |
| 9 | 6307 | 243 |
| 0 | 8029 | 243 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
r |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) |
(/.f64 b (cos.f64 a)) |
b |
(cos.f64 a) |
a |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) |
r |
(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) |
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) |
r |
(/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(sin.f64 b) |
b |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
#s(literal -1 binary64) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))) |
r |
(/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) |
(sin.f64 b) |
b |
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
(cos.f64 (-.f64 b a)) |
(-.f64 b a) |
a |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(sin.f64 b) |
b |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
r |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) |
(/.f64 b (cos.f64 a)) |
b |
(cos.f64 a) |
a |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))) |
r |
(/.f64 #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) (cos.f64 (+.f64 a b))) |
#s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b) |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
r |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
#s(literal 1 binary64) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
#s(literal -1 binary64) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
r |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) |
(cos.f64 (-.f64 a b)) |
(-.f64 b a) |
a |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3522262695368841 | (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) | |
| accuracy | 0.38509750976844204 | (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) | |
| accuracy | 14.818255029306812 | (cos.f64 (-.f64 b a)) | |
| accuracy | 14.94692907750236 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) | |
| accuracy | 0.2109375 | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) | |
| accuracy | 0.26171875 | (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) | |
| accuracy | 14.94692907750236 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.203125 | (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) | |
| accuracy | 0.2109375 | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) | |
| accuracy | 14.94692907750236 | (cos.f64 (+.f64 a b)) | |
| accuracy | 32.08996790233661 | #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) | |
| accuracy | 0 | (cos.f64 a) | |
| accuracy | 0.125 | (/.f64 b (cos.f64 a)) | |
| accuracy | 0.2109375 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) | |
| accuracy | 32.664754613570345 | #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) | |
| accuracy | 0.0546875 | (*.f64 (cos.f64 b) (cos.f64 a)) | |
| accuracy | 0.1403312988422101 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| accuracy | 0.2109375 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| 287.0ms | 187× | 1 | valid |
| 21.0ms | 69× | 0 | valid |
Compiled 545 to 77 computations (85.9% saved)
ival-div: 101.0ms (42.3% of total)ival-cos: 45.0ms (18.9% of total)ival-mult: 32.0ms (13.4% of total)ival-pow: 16.0ms (6.7% of total)ival-sin: 15.0ms (6.3% of total)adjust: 13.0ms (5.5% of total)const: 8.0ms (3.4% of total)ival-add: 6.0ms (2.5% of total)ival-sub: 2.0ms (0.8% of total)ival-neg: 1.0ms (0.4% 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 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cos.f64 a) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ()) |
| Outputs |
|---|
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | a | @ | inf | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ 1 (pow (cos (+ a b)) -1)) (* r (/ (sin b) (/ 1 (pow (cos (+ a b)) -1)))) (/ (sin b) (/ 1 (pow (cos (+ a b)) -1))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (* (cos b) (cos a)) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) |
| 7.0ms | a | @ | -inf | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ 1 (pow (cos (+ a b)) -1)) (* r (/ (sin b) (/ 1 (pow (cos (+ a b)) -1)))) (/ (sin b) (/ 1 (pow (cos (+ a b)) -1))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (* (cos b) (cos a)) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) |
| 5.0ms | r | @ | 0 | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ 1 (pow (cos (+ a b)) -1)) (* r (/ (sin b) (/ 1 (pow (cos (+ a b)) -1)))) (/ (sin b) (/ 1 (pow (cos (+ a b)) -1))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (* (cos b) (cos a)) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) |
| 5.0ms | b | @ | inf | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ 1 (pow (cos (+ a b)) -1)) (* r (/ (sin b) (/ 1 (pow (cos (+ a b)) -1)))) (/ (sin b) (/ 1 (pow (cos (+ a b)) -1))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (* (cos b) (cos a)) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) |
| 5.0ms | b | @ | -inf | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ 1 (pow (cos (+ a b)) -1)) (* r (/ (sin b) (/ 1 (pow (cos (+ a b)) -1)))) (/ (sin b) (/ 1 (pow (cos (+ a b)) -1))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (* (cos b) (cos a)) (cos (+ a b)) (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 409 | 7296 |
| 1 | 1305 | 6852 |
| 2 | 4160 | 6528 |
| 0 | 8130 | 6296 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
b |
(+ b (* 1/2 (* (pow a 2) b))) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(cos b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos b) |
(+ (cos b) (* a (sin b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b))))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b))))) |
(pow (cos b) 2) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2)) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b a)) |
(cos (- b a)) |
(cos (- b a)) |
(cos (- b a)) |
(* (cos (+ a b)) (cos (- b a))) |
(* (cos (+ a b)) (cos (- b a))) |
(* (cos (+ a b)) (cos (- b a))) |
(* (cos (+ a b)) (cos (- b a))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (+ b (* -1 a))) |
(cos (+ b (* -1 a))) |
(cos (+ b (* -1 a))) |
(cos (+ b (* -1 a))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))) |
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(cos a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (neg a)) |
(+ (cos (neg a)) (* -1 (* b (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a))))) |
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a))))) |
(* (cos a) (cos (neg a))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a)))) |
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(* -1/6 (pow b 3)) |
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6)) |
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6)) |
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b a)) |
(cos (- b a)) |
(cos (- b a)) |
(cos (- b a)) |
(* (cos (+ a b)) (cos (- b a))) |
(* (cos (+ a b)) (cos (- b a))) |
(* (cos (+ a b)) (cos (- b a))) |
(* (cos (+ a b)) (cos (- b a))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(* -1/6 (pow b 3)) |
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2))))) |
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2))))) |
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2))))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (neg (+ a (* -1 b)))) |
(cos (neg (+ a (* -1 b)))) |
(cos (neg (+ a (* -1 b)))) |
(cos (neg (+ a (* -1 b)))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
| Outputs |
|---|
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (neg.f64 a) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 (fma.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b)))) a))) a)) a)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(cos.f64 b) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (neg.f64 a) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 (fma.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b)))) a))) a)) a)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
b |
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) |
(fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b #s(literal -61/720 binary64)) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) b)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
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(cos.f64 (-.f64 b a)) |
(cos.f64 (-.f64 b a)) |
(cos.f64 (-.f64 b a)) |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
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(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
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(/.f64 b (cos.f64 a)) |
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b |
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(cos.f64 a) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
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(*.f64 (/.f64 r (cos.f64 a)) b) |
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(/.f64 b (cos.f64 a)) |
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(/.f64 b (cos.f64 a)) |
(/.f64 b (cos.f64 a)) |
(/.f64 b (cos.f64 a)) |
(/.f64 b (cos.f64 a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b)) b (/.f64 r (cos.f64 a))) b) |
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(/.f64 b (cos.f64 a)) |
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b |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
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(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) |
b |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(cos.f64 a) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
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(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
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(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b)) b (/.f64 r (cos.f64 a))) b) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (sin.f64 a) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(/.f64 b (cos.f64 a)) |
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) |
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(cos.f64 a) |
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(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
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(/.f64 b (cos.f64 a)) |
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) |
(fma.f64 (*.f64 b b) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 b (cos.f64 a))) |
(fma.f64 (*.f64 b b) (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)) (sin.f64 a) (neg.f64 (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 b (cos.f64 a))) |
(cos.f64 a) |
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(fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a)) |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))) |
(cos.f64 a) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(cos.f64 a) |
(fma.f64 (sin.f64 a) b (cos.f64 a)) |
(fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (sin.f64 a)) b (cos.f64 a)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal -1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b (sin.f64 a)) b (cos.f64 a)) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(fma.f64 #s(literal 0 binary64) b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) b) b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 0 binary64) b (-.f64 (neg.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(sin.f64 b) |
(sin.f64 b) |
(sin.f64 b) |
(sin.f64 b) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 b (cos.f64 a)) |
(/.f64 b (cos.f64 a)) |
(/.f64 b (cos.f64 a)) |
(/.f64 b (cos.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
(sin.f64 b) |
(sin.f64 b) |
(sin.f64 b) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (-.f64 b a)) |
(cos.f64 (-.f64 b a)) |
(cos.f64 (-.f64 b a)) |
(cos.f64 (-.f64 b a)) |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(sin.f64 b) |
(sin.f64 b) |
(sin.f64 b) |
(sin.f64 b) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 b (cos.f64 a)) |
(/.f64 b (cos.f64 a)) |
(/.f64 b (cos.f64 a)) |
(/.f64 b (cos.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
(sin.f64 b) |
(sin.f64 b) |
(sin.f64 b) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (-.f64 b a)) |
(cos.f64 (-.f64 b a)) |
(cos.f64 (-.f64 b a)) |
(cos.f64 (-.f64 b a)) |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 224 |
| 0 | 70 | 240 |
| 1 | 227 | 191 |
| 2 | 1370 | 191 |
| 0 | 8340 | 191 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(sin.f64 b) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) |
(/.f64 b (cos.f64 a)) |
(cos.f64 a) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) |
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) |
(/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))) |
(/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (-.f64 b a)) |
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
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Compiled 45 299 to 3 612 computations (92% saved)
62 alts after pruning (60 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 631 | 50 | 1 681 |
| Fresh | 17 | 10 | 27 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 651 | 62 | 1 713 |
| Status | Accuracy | Program |
|---|---|---|
| 76.4% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) | |
| ▶ | 76.5% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
| 76.5% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 75.4% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) | |
| 75.4% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 76.3% | (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 99.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) | |
| 99.2% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 r (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))) | |
| 76.3% | (*.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (*.f64 (sin.f64 b) r)) | |
| 99.2% | (*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))) | |
| 76.4% | (*.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) | |
| ▶ | 76.4% | (*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
| 76.4% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) | |
| 41.5% | (*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 99.4% | (*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| ▶ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| 50.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a)))))) | |
| 61.3% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) | |
| 54.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) | |
| ▶ | 53.5% | (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
| 99.2% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))))))) | |
| 99.3% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (*.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (cos.f64 (-.f64 b a))))) | |
| 59.8% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 b))))) | |
| 53.0% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 a))))) | |
| 61.3% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))) | |
| 55.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal -1 binary64))))) | |
| 52.9% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal -1 binary64))))) | |
| 99.2% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))))) | |
| 76.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))))) | |
| 99.3% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) | |
| 99.2% | (*.f64 r (/.f64 (sin.f64 b) (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))) | |
| 50.2% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) | |
| 57.4% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))))) | |
| 50.9% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) | |
| 57.5% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) | |
| 60.0% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))) | |
| 52.9% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 a)))) | |
| 50.5% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) b (cos.f64 a))))) | |
| 49.2% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) | |
| 49.2% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) | |
| 49.2% | (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) | |
| 20.4% | (*.f64 r (/.f64 #s(approx (sin b) #s(approx (+ (* (pow b 3) -1/6) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))) (cos.f64 (+.f64 a b)))) | |
| 76.4% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) | |
| ✓ | 49.0% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
| 31.7% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 31.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 32.1% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) | |
| ▶ | 32.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
| 48.9% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) | |
| 49.0% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) | |
| 25.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) | |
| 25.4% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b)))) | |
| 49.1% | #s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b)) | |
| 49.0% | #s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| 60.0% | #s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| 99.4% | #s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) |
Compiled 3 242 to 1 953 computations (39.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) | |
| cost-diff | 0 | (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) | |
| cost-diff | 14208 | (*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) | |
| cost-diff | 12800 | (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 (sin.f64 b) r) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | #s(approx (cos a) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 275 |
| 0 | 69 | 258 |
| 1 | 104 | 240 |
| 2 | 164 | 240 |
| 3 | 326 | 240 |
| 4 | 636 | 240 |
| 5 | 2006 | 240 |
| 6 | 3360 | 240 |
| 7 | 4814 | 240 |
| 0 | 8043 | 240 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(sin.f64 b) |
b |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (sin.f64 b) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
r |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 b #s(approx (cos a) #s(literal 1 binary64))) |
b |
#s(approx (cos a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
r |
(/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(sin.f64 b) |
b |
(pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) |
r |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) |
(sin.f64 b) |
b |
(cos.f64 (-.f64 a b)) |
(-.f64 a b) |
a |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(sin.f64 b) |
b |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(sin.f64 b) |
#s(literal 1 binary64) |
(pow.f64 (sin.f64 b) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) r) |
r |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 b #s(approx (cos a) #s(literal 1 binary64))) |
b |
#s(approx (cos a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(/.f64 (*.f64 (sin.f64 b) r) (fabs.f64 (cos.f64 (+.f64 a b)))) |
r |
(/.f64 (sin.f64 b) (fabs.f64 (cos.f64 (+.f64 a b)))) |
(sin.f64 b) |
b |
(fabs.f64 (cos.f64 (+.f64 a b))) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b a))) (cos.f64 (+.f64 a b))) |
r |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) |
(sin.f64 b) |
b |
(cos.f64 (-.f64 b a)) |
(-.f64 a b) |
a |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2265625 | (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) | |
| accuracy | 0.27181625976844204 | (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) | |
| accuracy | 14.818255029306812 | (cos.f64 (-.f64 a b)) | |
| accuracy | 14.94692907750236 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 0.2109375 | (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) | |
| accuracy | 0.4303512695368841 | (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) | |
| accuracy | 14.94692907750236 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0 | (sin.f64 b) | |
| accuracy | 0.16015625 | (*.f64 (sin.f64 b) r) | |
| accuracy | 0.28304465476030194 | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) | |
| accuracy | 14.94692907750236 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.125 | (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) | |
| accuracy | 0.2109375 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) | |
| accuracy | 28.78306045814885 | #s(approx (cos a) #s(literal 1 binary64)) | |
| accuracy | 32.664754613570345 | #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) | |
| accuracy | 0.1403312988422101 | (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| accuracy | 0.2109375 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| accuracy | 0.2265625 | (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
| 240.0ms | 187× | 1 | valid |
| 20.0ms | 69× | 0 | valid |
Compiled 537 to 79 computations (85.3% saved)
ival-cos: 53.0ms (29.6% of total)ival-sin: 41.0ms (22.9% of total)ival-mult: 23.0ms (12.8% of total)ival-div: 17.0ms (9.5% of total)ival-pow2: 13.0ms (7.3% of total)adjust: 10.0ms (5.6% of total)ival-add: 7.0ms (3.9% of total)ival-pow: 7.0ms (3.9% of total)ival-sqrt: 3.0ms (1.7% of total)ival-sub: 2.0ms (1.1% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | b | @ | 0 | ((/ 1 (pow (sin b) -1)) (* r (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (pow (pow (cos (+ a b)) 2) 1/2) (* r (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2))) (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2)) (* (* r (/ (/ (sin b) (cos (- a b))) (cos (+ a b)))) (cos (- a b))) (* r (/ (/ (sin b) (cos (- a b))) (cos (+ a b)))) (/ (/ (sin b) (cos (- a b))) (cos (+ a b))) (/ (sin b) (cos (- a b))) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (pow (cos (+ a b)) 2) (cos (- a b))) |
| 22.0ms | b | @ | inf | ((/ 1 (pow (sin b) -1)) (* r (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (pow (pow (cos (+ a b)) 2) 1/2) (* r (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2))) (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2)) (* (* r (/ (/ (sin b) (cos (- a b))) (cos (+ a b)))) (cos (- a b))) (* r (/ (/ (sin b) (cos (- a b))) (cos (+ a b)))) (/ (/ (sin b) (cos (- a b))) (cos (+ a b))) (/ (sin b) (cos (- a b))) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (pow (cos (+ a b)) 2) (cos (- a b))) |
| 9.0ms | a | @ | 0 | ((/ 1 (pow (sin b) -1)) (* r (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (pow (pow (cos (+ a b)) 2) 1/2) (* r (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2))) (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2)) (* (* r (/ (/ (sin b) (cos (- a b))) (cos (+ a b)))) (cos (- a b))) (* r (/ (/ (sin b) (cos (- a b))) (cos (+ a b)))) (/ (/ (sin b) (cos (- a b))) (cos (+ a b))) (/ (sin b) (cos (- a b))) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (pow (cos (+ a b)) 2) (cos (- a b))) |
| 8.0ms | r | @ | -inf | ((/ 1 (pow (sin b) -1)) (* r (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (pow (pow (cos (+ a b)) 2) 1/2) (* r (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2))) (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2)) (* (* r (/ (/ (sin b) (cos (- a b))) (cos (+ a b)))) (cos (- a b))) (* r (/ (/ (sin b) (cos (- a b))) (cos (+ a b)))) (/ (/ (sin b) (cos (- a b))) (cos (+ a b))) (/ (sin b) (cos (- a b))) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (pow (cos (+ a b)) 2) (cos (- a b))) |
| 6.0ms | a | @ | inf | ((/ 1 (pow (sin b) -1)) (* r (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (pow (pow (cos (+ a b)) 2) 1/2) (* r (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2))) (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2)) (* (* r (/ (/ (sin b) (cos (- a b))) (cos (+ a b)))) (cos (- a b))) (* r (/ (/ (sin b) (cos (- a b))) (cos (+ a b)))) (/ (/ (sin b) (cos (- a b))) (cos (+ a b))) (/ (sin b) (cos (- a b))) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (pow (cos (+ a b)) 2) (cos (- a b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 631 | 8508 |
| 1 | 2209 | 7696 |
| 0 | 8043 | 7479 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
b |
(+ b (* 1/2 (* (pow a 2) b))) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (* (cos b) (cos (neg b)))) |
(+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2)))) (/ (* r (sin b)) (* (cos b) (cos (neg b))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) 2))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2)))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))) (/ (* r (sin b)) (* (cos b) (cos (neg b))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) 2))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))) (* (cos b) (cos (neg b))))) (/ (* r (* (sin b) (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b)))))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) 2))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2)))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))) (/ (* r (sin b)) (* (cos b) (cos (neg b))))) |
(/ (sin b) (* (cos b) (cos (neg b)))) |
(+ (* -1 (/ (* a (* (sin b) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2)))) (/ (sin b) (* (cos b) (cos (neg b))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) 2)) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (/ (* (sin b) (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2)))))) (/ (* (sin b) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))) (/ (sin b) (* (cos b) (cos (neg b))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (* (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) (+ (* -1 (/ (* (sin b) (pow (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) 2)) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (/ (* (sin b) (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))) (* (cos b) (cos (neg b))))) (/ (* (sin b) (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b))))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))))) (+ (* -1 (/ (* (sin b) (pow (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) 2)) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (/ (* (sin b) (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2)))))) (/ (* (sin b) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))) (/ (sin b) (* (cos b) (cos (neg b))))) |
(/ (sin b) (cos (neg b))) |
(+ (/ (sin b) (cos (neg b))) (/ (* a (* (sin b) (sin (neg b)))) (pow (cos (neg b)) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos (neg b)) 3))) (* -1/2 (/ (sin b) (cos (neg b))))))) (* -1 (/ (* (sin b) (sin (neg b))) (pow (cos (neg b)) 2))))) (/ (sin b) (cos (neg b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (neg b))) (pow (cos (neg b)) 2))) (+ (* 1/6 (/ (* (sin b) (sin (neg b))) (pow (cos (neg b)) 2))) (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos (neg b)) 3))) (* -1/2 (/ (sin b) (cos (neg b)))))) (cos (neg b))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos (neg b)) 3))) (* -1/2 (/ (sin b) (cos (neg b))))))) (* -1 (/ (* (sin b) (sin (neg b))) (pow (cos (neg b)) 2))))) (/ (sin b) (cos (neg b)))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(pow (cos b) 2) |
(+ (* -2 (* a (* (cos b) (sin b)))) (pow (cos b) 2)) |
(+ (* a (+ (* -2 (* (cos b) (sin b))) (* a (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2))))) (pow (cos b) 2)) |
(+ (* a (+ (* -2 (* (cos b) (sin b))) (* a (+ (* -1 (pow (cos b) 2)) (+ (* a (+ (* 1/3 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (sin b) 2)))))) (pow (cos b) 2)) |
(cos (neg b)) |
(+ (cos (neg b)) (* -1 (* a (sin (neg b))))) |
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b))))) |
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (sin b) (* (cos (+ a b)) (cos (- a b)))) |
(/ (sin b) (* (cos (+ a b)) (cos (- a b)))) |
(/ (sin b) (* (cos (+ a b)) (cos (- a b)))) |
(/ (sin b) (* (cos (+ a b)) (cos (- a b)))) |
(/ (sin b) (cos (- a b))) |
(/ (sin b) (cos (- a b))) |
(/ (sin b) (cos (- a b))) |
(/ (sin b) (cos (- a b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(pow (cos (+ a b)) 2) |
(pow (cos (+ a b)) 2) |
(pow (cos (+ a b)) 2) |
(pow (cos (+ a b)) 2) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) |
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) |
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) |
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) |
(/ (sin b) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) |
(/ (sin b) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) |
(/ (sin b) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) |
(/ (sin b) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) |
(/ (sin b) (cos (neg (+ b (* -1 a))))) |
(/ (sin b) (cos (neg (+ b (* -1 a))))) |
(/ (sin b) (cos (neg (+ b (* -1 a))))) |
(/ (sin b) (cos (neg (+ b (* -1 a))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(pow (cos (- b (* -1 a))) 2) |
(pow (cos (- b (* -1 a))) 2) |
(pow (cos (- b (* -1 a))) 2) |
(pow (cos (- b (* -1 a))) 2) |
(cos (neg (+ b (* -1 a)))) |
(cos (neg (+ b (* -1 a)))) |
(cos (neg (+ b (* -1 a)))) |
(cos (neg (+ b (* -1 a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* b r) (pow (cos a) 2)) |
(* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))))) (pow (cos a) 4))) (/ r (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (pow (cos a) 2))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) 2)) (pow (cos a) 6))) (/ (* r (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (pow (cos a) 4))))) (/ (* r (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 4)))) (/ r (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2))))) (pow (cos a) 6))) (+ (/ (* r (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a))))))) (pow (cos a) 4)) (/ (* (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) (- (* -1/6 (/ r (pow (cos a) 2))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) 2)) (pow (cos a) 6))) (/ (* r (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (pow (cos a) 4))))) (pow (cos a) 2)))))) (* -1/6 (/ r (pow (cos a) 2)))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) 2)) (pow (cos a) 6))) (/ (* r (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (pow (cos a) 4))))) (/ (* r (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 4)))) (/ r (pow (cos a) 2)))) |
(/ b (pow (cos a) 2)) |
(* b (+ (* -1 (* b (+ (* -1 (/ (sin a) (pow (cos a) 3))) (/ (sin a) (pow (cos a) 3))))) (/ 1 (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 5/6 (/ 1 (pow (cos a) 2))) (+ (* -1 (/ (* (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) (+ (* -1 (/ (sin a) (pow (cos a) 3))) (/ (sin a) (pow (cos a) 3)))) (pow (cos a) 2))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 4)))))) (+ (* -1 (/ (sin a) (pow (cos a) 3))) (/ (sin a) (pow (cos a) 3))))) (/ 1 (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (+ (* -1 (/ (sin a) (pow (cos a) 3))) (/ (sin a) (pow (cos a) 3))) (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (pow (cos a) 2))) (+ (* -1/2 (/ (sin a) (pow (cos a) 3))) (+ (* -1/6 (/ (sin a) (pow (cos a) 3))) (+ (* 1/6 (/ (sin a) (pow (cos a) 3))) (+ (* 1/2 (/ (sin a) (pow (cos a) 3))) (/ (* (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) (- (* 5/6 (/ 1 (pow (cos a) 2))) (+ (* -1 (/ (* (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) (+ (* -1 (/ (sin a) (pow (cos a) 3))) (/ (sin a) (pow (cos a) 3)))) (pow (cos a) 2))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 4)))))) (pow (cos a) 2))))))))) (* 5/6 (/ 1 (pow (cos a) 2)))) (+ (* -1 (/ (* (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) (+ (* -1 (/ (sin a) (pow (cos a) 3))) (/ (sin a) (pow (cos a) 3)))) (pow (cos a) 2))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 4)))))) (+ (* -1 (/ (sin a) (pow (cos a) 3))) (/ (sin a) (pow (cos a) 3))))) (/ 1 (pow (cos a) 2)))) |
(/ b (cos a)) |
(* b (+ (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (sin a) (pow (cos a) 2))) (+ (* 1/2 (/ (sin a) (pow (cos a) 2))) (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a)))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(pow (cos a) 2) |
(+ (* -2 (* b (* (cos a) (sin a)))) (pow (cos a) 2)) |
(+ (* b (+ (* -2 (* (cos a) (sin a))) (* b (+ (* -1 (pow (cos a) 2)) (pow (sin a) 2))))) (pow (cos a) 2)) |
(+ (* b (+ (* -2 (* (cos a) (sin a))) (* b (+ (* -1 (pow (cos a) 2)) (+ (* b (+ (* 1/3 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (sin a) 2)))))) (pow (cos a) 2)) |
(cos a) |
(+ (cos a) (* b (sin a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a))))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a))))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (sin b) (* (cos (+ a b)) (cos (- a b)))) |
(/ (sin b) (* (cos (+ a b)) (cos (- a b)))) |
(/ (sin b) (* (cos (+ a b)) (cos (- a b)))) |
(/ (sin b) (* (cos (+ a b)) (cos (- a b)))) |
(/ (sin b) (cos (- a b))) |
(/ (sin b) (cos (- a b))) |
(/ (sin b) (cos (- a b))) |
(/ (sin b) (cos (- a b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(pow (cos (+ a b)) 2) |
(pow (cos (+ a b)) 2) |
(pow (cos (+ a b)) 2) |
(pow (cos (+ a b)) 2) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) |
(/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) |
(/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) |
(/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) |
(/ (sin b) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) |
(/ (sin b) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) |
(/ (sin b) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) |
(/ (sin b) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) |
(/ (sin b) (cos (+ a (* -1 b)))) |
(/ (sin b) (cos (+ a (* -1 b)))) |
(/ (sin b) (cos (+ a (* -1 b)))) |
(/ (sin b) (cos (+ a (* -1 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(pow (cos (- a (* -1 b))) 2) |
(pow (cos (- a (* -1 b))) 2) |
(pow (cos (- a (* -1 b))) 2) |
(pow (cos (- a (* -1 b))) 2) |
(cos (+ a (* -1 b))) |
(cos (+ a (* -1 b))) |
(cos (+ a (* -1 b))) |
(cos (+ a (* -1 b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
| Outputs |
|---|
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)))) a (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) a (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)))) a (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) a (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
b |
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) |
(fma.f64 (fma.f64 (*.f64 b #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 b #s(literal 7/360 binary64) (*.f64 b #s(literal -5/48 binary64))) (*.f64 b #s(literal 5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)))) a (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(cos.f64 b) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(cos.f64 b) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)))) a (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) a (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
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(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) |
(cos.f64 (-.f64 a b)) |
(cos.f64 (-.f64 a b)) |
(cos.f64 (-.f64 a b)) |
(cos.f64 (-.f64 a b)) |
b |
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(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (cos.f64 a)) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(/.f64 b (cos.f64 a)) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))) |
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b |
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(*.f64 (/.f64 r (cos.f64 a)) b) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
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(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (cos.f64 a)) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(/.f64 b (cos.f64 a)) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(/.f64 b (cos.f64 a)) |
(/.f64 b (cos.f64 a)) |
(/.f64 b (cos.f64 a)) |
(/.f64 b (cos.f64 a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (cos.f64 a)) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(*.f64 r b) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b) |
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) b) b (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b) |
(cos.f64 a) |
(fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(cos.f64 a) |
(fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (cos.f64 a)) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(/.f64 b (cos.f64 a)) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
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(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (cos.f64 a)) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) b) |
(*.f64 (fma.f64 (*.f64 #s(literal 0 binary64) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 4 binary64))) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (fma.f64 #s(literal 0 binary64) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 6 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 4 binary64)))))) b (*.f64 #s(literal 0 binary64) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 4 binary64))))) b (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) |
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(/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
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(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) r) |
(*.f64 (sin.f64 b) r) |
(*.f64 (sin.f64 b) r) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) r) |
(*.f64 (sin.f64 b) r) |
(*.f64 (sin.f64 b) r) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 212 |
| 0 | 69 | 235 |
| 1 | 215 | 163 |
| 2 | 1201 | 163 |
| 0 | 8571 | 163 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(sin.f64 b) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 b #s(approx (cos a) #s(literal 1 binary64))) |
#s(approx (cos a) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 (sin.f64 b) r) |
(cos.f64 (+.f64 a b)) |
(pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) |
(cos.f64 (-.f64 a b)) |
| Outputs |
|---|
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Compiled 63 773 to 4 818 computations (92.4% saved)
83 alts after pruning (79 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 137 | 48 | 2 185 |
| Fresh | 24 | 31 | 55 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 164 | 83 | 2 247 |
| Status | Accuracy | Program |
|---|---|---|
| 76.3% | (/.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))) | |
| 76.4% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) | |
| 43.0% | (/.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) r) (cos.f64 (+.f64 a b))) | |
| 42.9% | (/.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)) r) (cos.f64 (+.f64 a b))) | |
| 76.4% | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) r) (cos.f64 (+.f64 a b))) | |
| 55.9% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 99.5% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 99.4% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 49.9% | (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) #s(literal 2 binary64))) | |
| 99.3% | (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) | |
| 99.2% | (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))) | |
| 76.4% | (/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) | |
| 99.2% | (/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))))) | |
| 53.4% | (/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fabs.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) | |
| 53.5% | (/.f64 (*.f64 (sin.f64 b) r) (fabs.f64 (cos.f64 (+.f64 a b)))) | |
| ✓ | 76.5% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
| 57.4% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) | |
| 50.2% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))) | |
| 50.9% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)))) | |
| 57.4% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) | |
| 60.0% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 52.9% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 76.4% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) | |
| 49.2% | (/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) | |
| 49.1% | (/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) | |
| 76.5% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 75.4% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) | |
| 75.4% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 99.1% | (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b a))) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (cos.f64 (-.f64 b a)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))) | |
| 99.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) | |
| 99.2% | (*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))) | |
| 75.3% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (cos.f64 (-.f64 b a))) r)) (cos.f64 (-.f64 a b))) | |
| 76.4% | (*.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) | |
| 99.4% | (*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) (cos.f64 (-.f64 a b))) | |
| 53.4% | (*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (fabs.f64 (cos.f64 (+.f64 a b))))) (cos.f64 (-.f64 a b))) | |
| 53.0% | (*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) #s(approx (cos (- a b)) (cos.f64 a))) | |
| 59.8% | (*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) #s(approx (cos (- a b)) (cos.f64 b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) | |
| 61.2% | (*.f64 (*.f64 r #s(approx (/ (/ (sin b) (cos (- a b))) (cos (+ a b))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (cos.f64 (-.f64 a b))) | |
| ▶ | 76.4% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
| 41.5% | (*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 55.8% | (*.f64 r (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 49.9% | (*.f64 r (/.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (sqrt.f64 (cos.f64 (+.f64 a b))))) | |
| 99.4% | (*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 56.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| ▶ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| 50.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a)))))) | |
| 61.3% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) | |
| 54.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) | |
| ▶ | 51.8% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| 51.8% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 53.8% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 46.6% | (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) | |
| ▶ | 43.1% | (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
| 63.8% | (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) | |
| 87.9% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (sin.f64 a))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))) | |
| 99.2% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))))))) | |
| 99.3% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (*.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (cos.f64 (-.f64 b a))))) | |
| 59.8% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 b))))) | |
| 55.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal -1 binary64))))) | |
| 52.9% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal -1 binary64))))) | |
| 76.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))) | |
| 50.2% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) | |
| 50.9% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))))) | |
| 60.0% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (cos.f64 b)))) | |
| 52.9% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (cos.f64 a)))) | |
| 49.2% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) | |
| 20.4% | (*.f64 r (/.f64 #s(approx (sin b) #s(approx (+ (* (pow b 3) -1/6) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))) (cos.f64 (+.f64 a b)))) | |
| 76.4% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) | |
| ✓ | 49.0% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
| 31.7% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 31.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 32.1% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) | |
| ✓ | 32.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
| 32.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) | |
| 49.0% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) | |
| ▶ | 25.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
| 25.4% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b)))) | |
| 49.0% | #s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| 60.0% | #s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
Compiled 3 735 to 2 474 computations (33.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) | |
| cost-diff | 12800 | (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (neg.f64 (sin.f64 b)) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r) | |
| cost-diff | 256 | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) | |
| cost-diff | 0 | #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) | |
| cost-diff | 0 | #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) | |
| cost-diff | 0 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| cost-diff | 1408 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 480 |
| 0 | 96 | 467 |
| 1 | 155 | 437 |
| 2 | 288 | 435 |
| 3 | 697 | 430 |
| 4 | 1807 | 430 |
| 5 | 4116 | 430 |
| 6 | 6266 | 430 |
| 7 | 7339 | 430 |
| 8 | 7779 | 430 |
| 0 | 8087 | 425 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(sin.f64 b) |
b |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
r |
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) |
#s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) |
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) |
(*.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
b |
#s(literal 1/2 binary64) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(neg.f64 (sin.f64 b)) |
(sin.f64 b) |
b |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
#s(literal -1 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
r |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
r |
(/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(sin.f64 b) |
b |
(pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) |
#s(approx (cos (+ a b)) (cos.f64 a)) |
(cos.f64 a) |
a |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(sin.f64 b) |
b |
(fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
#s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 b b) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(sin.f64 b) |
b |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(sin.f64 b) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))) r) |
r |
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))) |
#s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b) |
(*.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
b |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(neg.f64 (sin.f64 b)) |
(sin.f64 b) |
b |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
#s(literal -1 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
r |
(/.f64 (*.f64 (sin.f64 b) r) (fabs.f64 #s(approx (cos (+ a b)) (cos.f64 a)))) |
r |
(/.f64 (sin.f64 b) (fabs.f64 #s(approx (cos (+ a b)) (cos.f64 a)))) |
(sin.f64 b) |
b |
(fabs.f64 #s(approx (cos (+ a b)) (cos.f64 a))) |
(pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) |
#s(approx (cos (+ a b)) (cos.f64 a)) |
(cos.f64 a) |
a |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (fma.f64 (pow.f64 b #s(literal 5 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
r |
(/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (fma.f64 (pow.f64 b #s(literal 5 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(sin.f64 b) |
b |
(fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (fma.f64 (pow.f64 b #s(literal 5 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
#s(approx (/ 1 (pow (sin b) -1)) (fma.f64 (pow.f64 b #s(literal 5 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) |
(fma.f64 (pow.f64 b #s(literal 5 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 b b) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.203125 | (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| accuracy | 0.2109375 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| accuracy | 0.2676910566038104 | (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) | |
| accuracy | 32.09423395553564 | #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 0.2109375 | (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) | |
| accuracy | 0.4303512695368841 | (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) | |
| accuracy | 30.18987130188016 | #s(approx (cos (+ a b)) (cos.f64 a)) | |
| accuracy | 0.1640625 | (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) | |
| accuracy | 0.20703125 | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) | |
| accuracy | 0.24609375 | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r) | |
| accuracy | 14.94692907750236 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.2109375 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) | |
| accuracy | 7.84981378651586 | (*.f64 (*.f64 a a) b) | |
| accuracy | 31.347666817458524 | #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) | |
| accuracy | 32.664754613570345 | #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) | |
| accuracy | 0.1403312988422101 | (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| accuracy | 0.203125 | (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| accuracy | 0.2109375 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| accuracy | 0.2265625 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
| 269.0ms | 187× | 1 | valid |
| 78.0ms | 69× | 0 | valid |
Compiled 850 to 112 computations (86.8% saved)
ival-mult: 64.0ms (21.6% of total)ival-sin: 57.0ms (19.3% of total)ival-div: 55.0ms (18.6% of total)ival-cos: 32.0ms (10.8% of total)ival-add: 23.0ms (7.8% of total)ival-pow2: 22.0ms (7.4% of total)adjust: 15.0ms (5.1% of total)const: 13.0ms (4.4% of total)ival-pow: 10.0ms (3.4% of total)ival-sqrt: 3.0ms (1% of total)ival-neg: 3.0ms (1% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 (sin.f64 b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 a a) b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (cos (+ a b)) (cos.f64 a)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor -inf r) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf r) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf r) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf r) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf r) (#s(alt #<batchref> (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | a | @ | 0 | ((/ -1 (/ -1 (sin b))) (* r (/ (sin b) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* (neg (sin b)) (* (/ -1 (cos (+ a b))) r)) (* (/ -1 (cos (+ a b))) r) (neg (sin b)) (pow (pow (cos (+ a b)) 2) 1/2) (* r (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2))) (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2)) (* r (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))) (* (* a a) b) (cos (+ a b)) (/ -1 (cos (+ a b))) (cos (+ a b)) (pow (cos (+ a b)) 2) (/ 1 (pow (sin b) -1)) (+ (* -1/5040 (* b b)) 1/120)) |
| 12.0ms | r | @ | 0 | ((/ -1 (/ -1 (sin b))) (* r (/ (sin b) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* (neg (sin b)) (* (/ -1 (cos (+ a b))) r)) (* (/ -1 (cos (+ a b))) r) (neg (sin b)) (pow (pow (cos (+ a b)) 2) 1/2) (* r (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2))) (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2)) (* r (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))) (* (* a a) b) (cos (+ a b)) (/ -1 (cos (+ a b))) (cos (+ a b)) (pow (cos (+ a b)) 2) (/ 1 (pow (sin b) -1)) (+ (* -1/5040 (* b b)) 1/120)) |
| 6.0ms | b | @ | inf | ((/ -1 (/ -1 (sin b))) (* r (/ (sin b) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* (neg (sin b)) (* (/ -1 (cos (+ a b))) r)) (* (/ -1 (cos (+ a b))) r) (neg (sin b)) (pow (pow (cos (+ a b)) 2) 1/2) (* r (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2))) (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2)) (* r (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))) (* (* a a) b) (cos (+ a b)) (/ -1 (cos (+ a b))) (cos (+ a b)) (pow (cos (+ a b)) 2) (/ 1 (pow (sin b) -1)) (+ (* -1/5040 (* b b)) 1/120)) |
| 6.0ms | b | @ | -inf | ((/ -1 (/ -1 (sin b))) (* r (/ (sin b) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* (neg (sin b)) (* (/ -1 (cos (+ a b))) r)) (* (/ -1 (cos (+ a b))) r) (neg (sin b)) (pow (pow (cos (+ a b)) 2) 1/2) (* r (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2))) (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2)) (* r (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))) (* (* a a) b) (cos (+ a b)) (/ -1 (cos (+ a b))) (cos (+ a b)) (pow (cos (+ a b)) 2) (/ 1 (pow (sin b) -1)) (+ (* -1/5040 (* b b)) 1/120)) |
| 5.0ms | a | @ | inf | ((/ -1 (/ -1 (sin b))) (* r (/ (sin b) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* (neg (sin b)) (* (/ -1 (cos (+ a b))) r)) (* (/ -1 (cos (+ a b))) r) (neg (sin b)) (pow (pow (cos (+ a b)) 2) 1/2) (* r (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2))) (/ (sin b) (pow (pow (cos (+ a b)) 2) 1/2)) (* r (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a))) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))) (* (* a a) b) (cos (+ a b)) (/ -1 (cos (+ a b))) (cos (+ a b)) (pow (cos (+ a b)) 2) (/ 1 (pow (sin b) -1)) (+ (* -1/5040 (* b b)) 1/120)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 446 | 8327 |
| 1 | 1430 | 7912 |
| 2 | 4570 | 7815 |
| 0 | 8149 | 7554 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
b |
(+ b (* 1/2 (* (pow a 2) b))) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
b |
(+ b (* 1/2 (* (pow a 2) b))) |
(+ b (* 1/2 (* (pow a 2) b))) |
(+ b (* 1/2 (* (pow a 2) b))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(* -1 (/ r (cos b))) |
(+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2)))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))))))))))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(/ -1 (cos b)) |
(- (* -1 (/ (* a (sin b)) (pow (cos b) 2))) (/ 1 (cos b))) |
(- (* a (- (* -1 (* a (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(- (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (sin b) (pow (cos b) 2))) (+ (* 1/2 (/ (sin b) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3)))) (cos b)))))) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(pow (cos b) 2) |
(+ (* -2 (* a (* (cos b) (sin b)))) (pow (cos b) 2)) |
(+ (* a (+ (* -2 (* (cos b) (sin b))) (* a (+ (* -1 (pow (cos b) 2)) (pow (sin b) 2))))) (pow (cos b) 2)) |
(+ (* a (+ (* -2 (* (cos b) (sin b))) (* a (+ (* -1 (pow (cos b) 2)) (+ (* a (+ (* 1/3 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (sin b) 2)))))) (pow (cos b) 2)) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(* 1/2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (+ a b))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(pow (cos (+ a b)) 2) |
(pow (cos (+ a b)) 2) |
(pow (cos (+ a b)) 2) |
(pow (cos (+ a b)) 2) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(* 1/2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(/ -1 (cos (- b (* -1 a)))) |
(/ -1 (cos (- b (* -1 a)))) |
(/ -1 (cos (- b (* -1 a)))) |
(/ -1 (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(pow (cos (- b (* -1 a))) 2) |
(pow (cos (- b (* -1 a))) 2) |
(pow (cos (- b (* -1 a))) 2) |
(pow (cos (- b (* -1 a))) 2) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(* b (+ 1 (* 1/2 (pow a 2)))) |
(* b (+ 1 (* 1/2 (pow a 2)))) |
(* b (+ 1 (* 1/2 (pow a 2)))) |
(* b (+ 1 (* 1/2 (pow a 2)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* -1 (/ r (cos a))) |
(+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a))))))))))) |
(* -1 b) |
(* b (- (* 1/6 (pow b 2)) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(/ -1 (cos a)) |
(- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))) |
(- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) |
(- (* b (- (* b (- (* -1 (* b (+ (* -1/6 (/ (sin a) (pow (cos a) 2))) (+ (* 1/2 (/ (sin a) (pow (cos a) 2))) (/ (* (sin a) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (cos a)))))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(pow (cos a) 2) |
(+ (* -2 (* b (* (cos a) (sin a)))) (pow (cos a) 2)) |
(+ (* b (+ (* -2 (* (cos a) (sin a))) (* b (+ (* -1 (pow (cos a) 2)) (pow (sin a) 2))))) (pow (cos a) 2)) |
(+ (* b (+ (* -2 (* (cos a) (sin a))) (* b (+ (* -1 (pow (cos a) 2)) (+ (* b (+ (* 1/3 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (sin a) 2)))))) (pow (cos a) 2)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
1/120 |
(+ 1/120 (* -1/5040 (pow b 2))) |
(+ 1/120 (* -1/5040 (pow b 2))) |
(+ 1/120 (* -1/5040 (pow b 2))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(* b (+ 1 (* 1/2 (pow a 2)))) |
(* b (+ 1 (* 1/2 (pow a 2)))) |
(* b (+ 1 (* 1/2 (pow a 2)))) |
(* b (+ 1 (* 1/2 (pow a 2)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (+ a b))) |
(/ -1 (cos (+ a b))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(pow (cos (+ a b)) 2) |
(pow (cos (+ a b)) 2) |
(pow (cos (+ a b)) 2) |
(pow (cos (+ a b)) 2) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(* -1/5040 (pow b 2)) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(* -1 (* b (- (* -1/2 (pow a 2)) 1))) |
(* -1 (* b (- (* -1/2 (pow a 2)) 1))) |
(* -1 (* b (- (* -1/2 (pow a 2)) 1))) |
(* -1 (* b (- (* -1/2 (pow a 2)) 1))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(/ -1 (cos (- a (* -1 b)))) |
(/ -1 (cos (- a (* -1 b)))) |
(/ -1 (cos (- a (* -1 b)))) |
(/ -1 (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(pow (cos (- a (* -1 b))) 2) |
(pow (cos (- a (* -1 b))) 2) |
(pow (cos (- a (* -1 b))) 2) |
(pow (cos (- a (* -1 b))) 2) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(* -1/5040 (pow b 2)) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
| Outputs |
|---|
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) a)) a)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) a)) a)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
b |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) b) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 b #s(literal 7/360 binary64) (*.f64 b #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) b)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b) |
b |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) b) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) b) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) b) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) a)) a)) |
(/.f64 (neg.f64 r) (cos.f64 b)) |
(neg.f64 (fma.f64 (*.f64 a r) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b)))) |
(fma.f64 (fma.f64 (neg.f64 r) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) a)) a (/.f64 (neg.f64 r) (cos.f64 b))) |
(fma.f64 (fma.f64 (neg.f64 r) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) r (fma.f64 (fma.f64 (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (cos.f64 b))) a (*.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64)))) a)) a (/.f64 (neg.f64 r) (cos.f64 b))) |
(cos.f64 b) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
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(cos.f64 a) |
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(cos.f64 a) |
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(cos.f64 a) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
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(*.f64 (*.f64 a a) b) |
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(*.f64 (*.f64 a a) b) |
(cos.f64 a) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
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(/.f64 #s(literal -1 binary64) (cos.f64 a)) |
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(cos.f64 a) |
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(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
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b |
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#s(literal 1/120 binary64) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) |
(sin.f64 b) |
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(/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(sin.f64 b) |
(sin.f64 b) |
(sin.f64 b) |
(sin.f64 b) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 b (cos.f64 a)) |
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(/.f64 b (cos.f64 a)) |
(/.f64 b (cos.f64 a)) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
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(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(neg.f64 (sin.f64 b)) |
(neg.f64 (sin.f64 b)) |
(neg.f64 (sin.f64 b)) |
(neg.f64 (sin.f64 b)) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
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(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(*.f64 (*.f64 a a) b) |
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(*.f64 (*.f64 a a) b) |
(*.f64 (*.f64 a a) b) |
(cos.f64 (+.f64 a b)) |
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(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) |
(sin.f64 b) |
(sin.f64 b) |
(sin.f64 b) |
(sin.f64 b) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 b b)) |
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(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/5040 binary64)) b) b) |
(sin.f64 b) |
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(sin.f64 b) |
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(/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(sin.f64 b) |
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(sin.f64 b) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
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(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
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(neg.f64 (sin.f64 b)) |
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(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
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(*.f64 (*.f64 a a) b) |
(*.f64 (*.f64 a a) b) |
(*.f64 (*.f64 a a) b) |
(*.f64 (*.f64 a a) b) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 a b)) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) |
(sin.f64 b) |
(sin.f64 b) |
(sin.f64 b) |
(sin.f64 b) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 b b)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/5040 binary64)) b) b) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/5040 binary64)) b) b) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/5040 binary64)) b) b) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 362 |
| 0 | 96 | 351 |
| 1 | 323 | 293 |
| 2 | 1978 | 293 |
| 0 | 8350 | 293 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(sin.f64 b) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) |
#s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) |
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r) |
(neg.f64 (sin.f64 b)) |
(pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(*.f64 (*.f64 a a) b) |
(cos.f64 (+.f64 a b)) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) |
#s(approx (cos (+ a b)) (cos.f64 a)) |
(pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) |
#s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) |
| Outputs |
|---|
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Compiled 48 314 to 3 754 computations (92.2% saved)
93 alts after pruning (88 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 515 | 27 | 1 542 |
| Fresh | 13 | 61 | 74 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 532 | 93 | 1 625 |
| Status | Accuracy | Program |
|---|---|---|
| 76.3% | (/.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))) | |
| 76.4% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) | |
| 43.0% | (/.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) r) (cos.f64 (+.f64 a b))) | |
| 42.9% | (/.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)) r) (cos.f64 (+.f64 a b))) | |
| 76.4% | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) r) (cos.f64 (+.f64 a b))) | |
| 55.9% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 99.5% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 99.4% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 49.9% | (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) #s(literal 2 binary64))) | |
| 99.3% | (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) | |
| 99.2% | (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))) | |
| 76.4% | (/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) | |
| 53.4% | (/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fabs.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) | |
| 53.5% | (/.f64 (*.f64 (sin.f64 b) r) (fabs.f64 (cos.f64 (+.f64 a b)))) | |
| ✓ | 76.5% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
| 57.4% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) | |
| 50.2% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))) | |
| 50.9% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)))) | |
| 57.4% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) | |
| 60.0% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 52.9% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 51.8% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 76.4% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) | |
| 49.2% | (/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) | |
| 49.1% | (/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) | |
| 76.5% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 52.8% | (/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b))) | |
| 50.8% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 r (sin.f64 b)))) | |
| 75.4% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) | |
| 75.4% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 51.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) | |
| 99.1% | (*.f64 (/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 b a))) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (cos.f64 (-.f64 b a)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))) | |
| 99.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) | |
| 52.9% | (*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b)) | |
| 76.4% | (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (neg.f64 (sin.f64 b)))) | |
| 53.0% | (*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) #s(approx (cos (- a b)) (cos.f64 a))) | |
| 59.8% | (*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) #s(approx (cos (- a b)) (cos.f64 b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) | |
| 52.8% | (*.f64 (*.f64 r (sin.f64 b)) (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal -1 binary64))) | |
| 61.2% | (*.f64 (*.f64 r #s(approx (/ (/ (sin b) (cos (- a b))) (cos (+ a b))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (cos.f64 (-.f64 a b))) | |
| 43.0% | (*.f64 (neg.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) | |
| 42.8% | (*.f64 (neg.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) | |
| 42.9% | (*.f64 (neg.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) | |
| 76.4% | (*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)))) | |
| 99.4% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) r)) | |
| 99.3% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) r)) | |
| 99.3% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))) r)) | |
| 99.4% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r)) | |
| 60.0% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) r)) | |
| 52.9% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) r)) | |
| 49.1% | (*.f64 #s(approx (neg (sin b)) (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) | |
| 41.5% | (*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 55.8% | (*.f64 r (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 99.4% | (*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| 50.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a)))))) | |
| 61.3% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) | |
| 54.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) | |
| 51.8% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)))))) | |
| 51.8% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 53.8% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 46.6% | (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) | |
| 63.8% | (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) | |
| 87.9% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (sin.f64 a))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))) | |
| 99.2% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))))))) | |
| 99.3% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (*.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (cos.f64 (-.f64 b a))))) | |
| 59.8% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 b))))) | |
| 55.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal -1 binary64))))) | |
| 76.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))) | |
| 43.1% | (*.f64 r (/.f64 (sin.f64 b) (fabs.f64 #s(approx (cos (+ a b)) (cos.f64 a))))) | |
| 50.2% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) | |
| 50.9% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))))) | |
| 60.0% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (cos.f64 b)))) | |
| 49.3% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b)) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 49.2% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) | |
| 20.4% | (*.f64 r (/.f64 #s(approx (sin b) #s(approx (+ (* (pow b 3) -1/6) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))) (cos.f64 (+.f64 a b)))) | |
| 76.4% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) | |
| 52.9% | (*.f64 r (*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))))) | |
| ✓ | 49.0% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
| 31.7% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 31.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 32.1% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) | |
| ✓ | 32.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
| 32.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) | |
| 49.0% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) | |
| ✓ | 25.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
| 25.4% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b)))) | |
| 19.2% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) (neg.f64 b)) (fma.f64 (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 b) b))))))) | |
| 9.3% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) | |
| 49.0% | #s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| 60.0% | #s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
Compiled 5 894 to 2 159 computations (63.4% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (neg (sin b)) (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) (neg.f64 b)) (fma.f64 (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 b) b))))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (fabs.f64 #s(approx (cos (+ a b)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (fabs.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b))) |
(*.f64 r (*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))))) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) r)) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) r)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (neg.f64 (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin b) #s(approx (+ (* (pow b 3) -1/6) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 r (sin.f64 b)) (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(/.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))) |
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(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))))) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))) r)) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 a) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (*.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))))))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
5 calls:
| 72.0ms | b |
| 62.0ms | a |
| 53.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 51.0ms | r |
| 45.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 99.5% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (neg (sin b)) (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) (neg.f64 b)) (fma.f64 (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 b) b))))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (fabs.f64 #s(approx (cos (+ a b)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (fabs.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b))) |
(*.f64 r (*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))))) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) r)) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) r)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (neg.f64 (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin b) #s(approx (+ (* (pow b 3) -1/6) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 r (sin.f64 b)) (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(/.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fabs.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 r (/.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (sqrt.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) r) (cos.f64 (+.f64 a b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) |
(*.f64 (*.f64 r #s(approx (/ (/ (sin b) (cos (- a b))) (cos (+ a b))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (cos.f64 (-.f64 a b))) |
(*.f64 (neg.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 (neg.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))) |
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 b))))) |
(*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) #s(approx (cos (- a b)) (cos.f64 b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) #s(approx (cos (- a b)) (cos.f64 a))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))) |
(*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (fabs.f64 (cos.f64 (+.f64 a b))))) (cos.f64 (-.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) b (cos.f64 a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (cos.f64 (-.f64 b a))) r)) (cos.f64 (-.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b)) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
5 calls:
| 75.0ms | r |
| 58.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 57.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 53.0ms | b |
| 42.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 99.5% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (neg (sin b)) (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) (neg.f64 b)) (fma.f64 (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 b) b))))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (fabs.f64 #s(approx (cos (+ a b)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (fabs.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b))) |
(*.f64 r (*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))))) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) r)) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) r)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (neg.f64 (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin b) #s(approx (+ (* (pow b 3) -1/6) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 r (sin.f64 b)) (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(/.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fabs.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 r (/.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (sqrt.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) r) (cos.f64 (+.f64 a b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) |
(*.f64 (*.f64 r #s(approx (/ (/ (sin b) (cos (- a b))) (cos (+ a b))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (cos.f64 (-.f64 a b))) |
(*.f64 (neg.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 (neg.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))) |
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 b))))) |
(*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) #s(approx (cos (- a b)) (cos.f64 b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) #s(approx (cos (- a b)) (cos.f64 a))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))) |
(*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (fabs.f64 (cos.f64 (+.f64 a b))))) (cos.f64 (-.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) b (cos.f64 a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (cos.f64 (-.f64 b a))) r)) (cos.f64 (-.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b)) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
5 calls:
| 78.0ms | b |
| 69.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 48.0ms | r |
| 36.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 36.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | a |
| 99.4% | 1 | b |
| 99.4% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 99.4% | 1 | r |
| 99.4% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (neg (sin b)) (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) (neg.f64 b)) (fma.f64 (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 b) b))))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (fabs.f64 #s(approx (cos (+ a b)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (fabs.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b))) |
(*.f64 r (*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))))) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) r)) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) r)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (neg.f64 (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin b) #s(approx (+ (* (pow b 3) -1/6) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 r (sin.f64 b)) (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(/.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fabs.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 r (/.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (sqrt.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) r) (cos.f64 (+.f64 a b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) |
(*.f64 (*.f64 r #s(approx (/ (/ (sin b) (cos (- a b))) (cos (+ a b))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (cos.f64 (-.f64 a b))) |
(*.f64 (neg.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 (neg.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))) |
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 b))))) |
(*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) #s(approx (cos (- a b)) (cos.f64 b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) #s(approx (cos (- a b)) (cos.f64 a))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))) |
(*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (fabs.f64 (cos.f64 (+.f64 a b))))) (cos.f64 (-.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) b (cos.f64 a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (cos.f64 (-.f64 b a))) r)) (cos.f64 (-.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b)) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) |
5 calls:
| 34.0ms | b |
| 32.0ms | r |
| 32.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 32.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 31.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | r |
| 99.4% | 1 | a |
| 99.4% | 1 | b |
| 99.4% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 99.4% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (neg (sin b)) (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) (neg.f64 b)) (fma.f64 (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 b) b))))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (fabs.f64 #s(approx (cos (+ a b)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (fabs.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b))) |
(*.f64 r (*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))))) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) r)) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) r)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (neg.f64 (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin b) #s(approx (+ (* (pow b 3) -1/6) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 r (sin.f64 b)) (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(/.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fabs.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 r (/.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (sqrt.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) r) (cos.f64 (+.f64 a b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) |
(*.f64 (*.f64 r #s(approx (/ (/ (sin b) (cos (- a b))) (cos (+ a b))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (cos.f64 (-.f64 a b))) |
(*.f64 (neg.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 (neg.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))) |
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 b))))) |
(*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) #s(approx (cos (- a b)) (cos.f64 b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) #s(approx (cos (- a b)) (cos.f64 a))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))) |
(*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (fabs.f64 (cos.f64 (+.f64 a b))))) (cos.f64 (-.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) b (cos.f64 a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (cos.f64 (-.f64 b a))) r)) (cos.f64 (-.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b)) (fma.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
5 calls:
| 47.0ms | a |
| 42.0ms | b |
| 35.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 32.0ms | r |
| 31.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 1 | r |
| 76.5% | 1 | a |
| 76.5% | 1 | b |
| 76.5% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 76.5% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (neg (sin b)) (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) (neg.f64 b)) (fma.f64 (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 b) b))))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (fabs.f64 #s(approx (cos (+ a b)) (cos.f64 a))))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
5 calls:
| 28.0ms | r |
| 10.0ms | a |
| 9.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 9.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 3 | b |
| 63.4% | 3 | r |
| 63.2% | 3 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 76.4% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 75.9% | 3 | a |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (neg (sin b)) (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) (neg.f64 b)) (fma.f64 (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 b) b))))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (pow (pow (cos (+ a b)) 2) 1/2) (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
1 calls:
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (neg (sin b)) (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) (neg.f64 b)) (fma.f64 (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 b) b))))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
1 calls:
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (neg (sin b)) (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) (neg.f64 b)) (fma.f64 (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 b) b))))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
| Outputs |
|---|
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
5 calls:
| 8.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 8.0ms | r |
| 6.0ms | b |
| 6.0ms | a |
| 6.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.2% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 49.2% | 1 | r |
| 49.2% | 1 | a |
| 49.2% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 49.2% | 1 | b |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (neg (sin b)) (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
| Outputs |
|---|
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
5 calls:
| 7.0ms | a |
| 5.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 5.0ms | r |
| 5.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.2% | 1 | b |
| 49.2% | 1 | r |
| 49.2% | 1 | a |
| 49.2% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 49.2% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 #s(approx (neg (sin b)) (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
| Outputs |
|---|
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
5 calls:
| 10.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 6.0ms | b |
| 5.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 5.0ms | a |
| 5.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.1% | 1 | b |
| 49.1% | 1 | r |
| 49.1% | 1 | a |
| 49.1% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 49.1% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
5 calls:
| 5.0ms | r |
| 4.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 4.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 4.0ms | a |
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.0% | 1 | r |
| 49.0% | 1 | a |
| 49.0% | 1 | b |
| 49.0% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 49.0% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 19 to 24 computations (-26.3% saved)
Total -15.8b remaining (-36.8%)
Threshold costs -15.8b (-36.8%)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
| Outputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
5 calls:
| 5.0ms | a |
| 3.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 3.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 3.0ms | b |
| 3.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.8% | 1 | r |
| 32.8% | 1 | a |
| 32.8% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 32.8% | 1 | b |
| 32.8% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 19 to 24 computations (-26.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.40787798653513835 | 728.3035565286655 |
| 30.0ms | -9089.899825588865 | -429.3310198797214 |
| 29.0ms | 121× | 1 | valid |
| 11.0ms | 119× | 0 | valid |
Compiled 492 to 419 computations (14.8% saved)
ival-div: 11.0ms (34.7% of total)ival-cos: 7.0ms (22.1% of total)ival-sin: 6.0ms (18.9% of total)ival-add: 2.0ms (6.3% of total)adjust: 2.0ms (6.3% of total)ival-mult: 2.0ms (6.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.40787798653513835 | 728.3035565286655 |
| 1.0ms | -9089.899825588865 | -429.3310198797214 |
Compiled 527 to 440 computations (16.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.40787798653513835 | 728.3035565286655 |
| 1.0ms | -9089.899825588865 | -429.3310198797214 |
Compiled 567 to 464 computations (18.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 355 |
| 1 | 122 | 355 |
| 2 | 130 | 355 |
| 3 | 134 | 355 |
| 4 | 135 | 355 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(if (<=.f64 b #s(literal -430 binary64)) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 7385903388887613/18014398509481984 binary64)) (/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))))) |
(if (<=.f64 b #s(literal -430 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 7385903388887613/18014398509481984 binary64)) (/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))))) |
(if (<=.f64 b #s(literal -430 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 7385903388887613/18014398509481984 binary64)) (/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r) |
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(if (<=.f64 b #s(literal -430 binary64)) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 7385903388887613/18014398509481984 binary64)) (/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r))) |
(if (<=.f64 b #s(literal -430 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 7385903388887613/18014398509481984 binary64)) (/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r))) |
(if (<=.f64 b #s(literal -430 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 7385903388887613/18014398509481984 binary64)) (/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b))) r) |
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b))) |
#s(approx (* r (/ (sin b) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) r) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 631 | 8508 |
| 1 | 2209 | 7696 |
| 0 | 8043 | 7479 |
| 0 | 40 | 224 |
| 0 | 70 | 240 |
| 1 | 227 | 191 |
| 2 | 1370 | 191 |
| 0 | 8340 | 191 |
| 0 | 215 | 1226 |
| 1 | 660 | 1174 |
| 2 | 2061 | 1116 |
| 3 | 7696 | 1116 |
| 0 | 8276 | 1075 |
| 0 | 409 | 7296 |
| 1 | 1305 | 6852 |
| 2 | 4160 | 6528 |
| 0 | 8130 | 6296 |
| 0 | 8 | 22 |
| 0 | 13 | 22 |
| 1 | 44 | 22 |
| 2 | 234 | 22 |
| 3 | 1985 | 22 |
| 0 | 10212 | 22 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 745 to 370 computations (50.3% saved)
(negabs r)
Compiled 1 016 to 410 computations (59.6% saved)
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