
Time bar (total: 7.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 2 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 3 |
| 75% | 18.7% | 6.2% | 75% | 0% | 0% | 0% | 4 |
| 87.5% | 21.8% | 3.1% | 75% | 0% | 0% | 0% | 5 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 6 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 7 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 8 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 9 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 10 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 11 |
| 99.2% | 24.8% | 0.2% | 75% | 0% | 0% | 0% | 12 |
Compiled 19 to 14 computations (26.3% saved)
| 942.0ms | 8 256× | 0 | valid |
ival-cos: 222.0ms (30.5% of total)ival-sin: 201.0ms (27.6% of total)ival-mult: 114.0ms (15.7% of total)ival-<=: 65.0ms (8.9% of total)ival-div: 56.0ms (7.7% of total)ival-add: 42.0ms (5.8% of total)ival-and: 12.0ms (1.6% of total)exact: 12.0ms (1.6% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | e |
| 0 | 0 | - | 0 | - | (*.f64 e (cos.f64 v)) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (sin.f64 v) |
| 0 | 0 | - | 0 | - | (*.f64 e (sin.f64 v)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
| 0 | 0 | - | 0 | - | (cos.f64 v) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 60.0ms | 512× | 0 | valid |
Compiled 111 to 40 computations (64% saved)
ival-sin: 13.0ms (33% of total)ival-cos: 11.0ms (27.9% of total)ival-mult: 7.0ms (17.7% of total)ival-add: 5.0ms (12.7% of total)ival-div: 3.0ms (7.6% of total)ival-true: 1.0ms (2.5% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 63 |
| 1 | 64 | 57 |
| 2 | 152 | 55 |
| 3 | 402 | 55 |
| 4 | 1000 | 55 |
| 5 | 1548 | 55 |
| 6 | 1723 | 55 |
| 7 | 1874 | 55 |
| 8 | 2030 | 55 |
| 9 | 2445 | 55 |
| 10 | 2540 | 55 |
| 11 | 2601 | 55 |
| 12 | 2653 | 55 |
| 13 | 2658 | 55 |
| 0 | 9 | 11 |
| 0 | 15 | 11 |
| 1 | 22 | 11 |
| 2 | 25 | 11 |
| 3 | 26 | 11 |
| 0 | 26 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Outputs |
|---|
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(negabs v)
Compiled 11 to 9 computations (18.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 e (sin.f64 v)) | |
| cost-diff | 0 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 0 | 15 | 32 |
| 1 | 22 | 32 |
| 2 | 25 | 32 |
| 3 | 26 | 32 |
| 0 | 26 | 30 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
#s(literal 1 binary64) |
(*.f64 e (cos.f64 v)) |
(cos.f64 v) |
| Outputs |
|---|
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
e |
(sin.f64 v) |
v |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (cos.f64 v) e) |
(cos.f64 v) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) | |
| accuracy | 0.0390625 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) | |
| accuracy | 0.13671875 | (*.f64 e (sin.f64 v)) | |
| accuracy | 0.14453125 | (*.f64 e (cos.f64 v)) |
| 54.0ms | 256× | 0 | valid |
Compiled 66 to 20 computations (69.7% saved)
ival-sin: 6.0ms (32.9% of total)ival-cos: 5.0ms (27.5% of total)ival-mult: 4.0ms (22% of total)ival-div: 1.0ms (5.5% of total)ival-add: 1.0ms (5.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | v | @ | 0 | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v))) |
| 2.0ms | e | @ | 0 | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v))) |
| 2.0ms | e | @ | inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v))) |
| 2.0ms | e | @ | -inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v))) |
| 1.0ms | v | @ | inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 1153 |
| 1 | 554 | 1138 |
| 2 | 1582 | 1106 |
| 3 | 5266 | 1024 |
| 0 | 8387 | 956 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
1 |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) e) |
(fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
(fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
(fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (*.f64 (*.f64 #s(literal -1/24 binary64) e) (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (*.f64 (*.f64 #s(literal -1/24 binary64) e) (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) #s(literal -1/5040 binary64)) (neg.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))))) (*.f64 v v) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (*.f64 (*.f64 #s(literal -1/24 binary64) e) (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(*.f64 v e) |
(*.f64 e (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v)) |
(*.f64 (*.f64 e (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))) v) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 e (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v e)) |
v |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) v) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) v) |
e |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) |
(fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) e) |
(fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)))) (*.f64 v v) e) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
(sin.f64 v) |
(sin.f64 v) |
(sin.f64 v) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
(sin.f64 v) |
(sin.f64 v) |
(sin.f64 v) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
#s(literal 1 binary64) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(*.f64 (sin.f64 v) e) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) |
(*.f64 (*.f64 (sin.f64 v) (fma.f64 (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) e #s(literal 1 binary64))) e) |
(*.f64 (fma.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) e (cos.f64 v))) (sin.f64 v)) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) |
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (*.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 0 | 15 | 27 |
| 1 | 42 | 27 |
| 2 | 241 | 27 |
| 3 | 2097 | 27 |
| 0 | 8370 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
(*.f64 e (cos.f64 v)) |
| Outputs |
|---|
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Compiled 12 739 to 1 273 computations (90% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 435 | 15 | 450 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 436 | 15 | 451 |
| Status | Accuracy | Program |
|---|---|---|
| 75.8% | (pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| ▶ | 99.7% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| 56.4% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) e)))) | |
| ▶ | 64.4% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
| 97.5% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) | |
| ▶ | 99.5% | (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
| 98.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))) | |
| 99.6% | (*.f64 (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) | |
| 99.7% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) | |
| 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (neg.f64 e) (sin.f64 v))) | |
| 51.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))) | |
| 99.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) | |
| ▶ | 97.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
| ▶ | 51.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| 95.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
Compiled 520 to 380 computations (26.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 v) | |
| cost-diff | 0 | (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) | |
| cost-diff | 384 | (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) | |
| cost-diff | 0 | (neg.f64 e) | |
| cost-diff | 0 | (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) | |
| cost-diff | 0 | #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 e (sin.f64 v)) | |
| cost-diff | 0 | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) e) | |
| cost-diff | 0 | (/.f64 e (+.f64 #s(literal 1 binary64) e)) | |
| cost-diff | 0 | (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) | |
| cost-diff | 0 | (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 (sin.f64 v) e) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 211 |
| 0 | 53 | 207 |
| 1 | 87 | 207 |
| 2 | 131 | 207 |
| 3 | 228 | 207 |
| 4 | 535 | 207 |
| 5 | 832 | 207 |
| 6 | 1124 | 207 |
| 7 | 1508 | 207 |
| 8 | 1885 | 207 |
| 9 | 2566 | 207 |
| 10 | 3609 | 207 |
| 11 | 4359 | 207 |
| 12 | 4610 | 207 |
| 13 | 4622 | 207 |
| 14 | 4637 | 207 |
| 15 | 4652 | 207 |
| 16 | 4752 | 207 |
| 17 | 4918 | 207 |
| 18 | 5276 | 207 |
| 19 | 5276 | 207 |
| 20 | 5276 | 207 |
| 21 | 5277 | 207 |
| 22 | 5277 | 207 |
| 23 | 5283 | 207 |
| 0 | 5283 | 207 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
v |
e |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(/.f64 e (+.f64 #s(literal 1 binary64) e)) |
e |
(+.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
v |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
#s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
(fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 v v) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(neg.f64 e) |
e |
(cos.f64 v) |
v |
#s(literal 1 binary64) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
e |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
v |
#s(literal 1 binary64) |
(sin.f64 v) |
| Outputs |
|---|
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
v |
e |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v) |
(/.f64 e (-.f64 e #s(literal -1 binary64))) |
e |
(-.f64 e #s(literal -1 binary64)) |
#s(literal 1 binary64) |
v |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
#s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(*.f64 v v) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(neg.f64 e) |
e |
(cos.f64 v) |
v |
#s(literal 1 binary64) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
e |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
v |
#s(literal 1 binary64) |
(sin.f64 v) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 v) | |
| accuracy | 0 | (cos.f64 v) | |
| accuracy | 0.14453125 | (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) | |
| accuracy | 0.26171875 | (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) | |
| accuracy | 0 | (cos.f64 v) | |
| accuracy | 0.01953125 | (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) | |
| accuracy | 0.13671875 | (*.f64 (sin.f64 v) e) | |
| accuracy | 1.4189465228003737 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) | |
| accuracy | 0.0390625 | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) | |
| accuracy | 0.13671875 | (*.f64 e (sin.f64 v)) | |
| accuracy | 7.788711141002106 | (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)) | |
| accuracy | 23.64969621478741 | #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) e) | |
| accuracy | 0.02734375 | (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) | |
| accuracy | 0.03125 | (/.f64 e (+.f64 #s(literal 1 binary64) e)) | |
| accuracy | 30.996486388900056 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) | |
| accuracy | 0 | (sin.f64 v) | |
| accuracy | 0 | (cos.f64 v) | |
| accuracy | 0.0390625 | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| accuracy | 0.13671875 | (*.f64 (sin.f64 v) e) |
| 76.0ms | 256× | 0 | valid |
Compiled 394 to 62 computations (84.3% saved)
ival-mult: 27.0ms (47.4% of total)ival-div: 9.0ms (15.8% of total)ival-add: 8.0ms (14.1% of total)ival-sin: 6.0ms (10.5% of total)ival-cos: 5.0ms (8.8% of total)ival-neg: 2.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 e (+.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) e) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 e) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cos.f64 v) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | v | @ | -inf | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (cos v) (+ (* (+ (* (* v v) -1/2) 1) e) 1)) |
| 5.0ms | e | @ | 0 | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (cos v) (+ (* (+ (* (* v v) -1/2) 1) e) 1)) |
| 5.0ms | v | @ | 0 | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (cos v) (+ (* (+ (* (* v v) -1/2) 1) e) 1)) |
| 4.0ms | v | @ | inf | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (cos v) (+ (* (+ (* (* v v) -1/2) 1) e) 1)) |
| 3.0ms | e | @ | -inf | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (cos v) (+ (* (+ (* (* v v) -1/2) 1) e) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 386 | 5542 |
| 1 | 1231 | 5382 |
| 2 | 3689 | 5290 |
| 0 | 8042 | 4955 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
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(* e (+ (* -1 (cos v)) (/ 1 e))) |
(* e (+ (* -1 (cos v)) (/ 1 e))) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (* e (cos v)) (sin v)) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* e (+ 1 (* -1/2 (pow v 2)))) |
(* e (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))) |
(* e (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))) |
(* e (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
v |
(+ v (* -1 (/ v e))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
1 |
(- 1 (/ 1 e)) |
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) |
e |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -1 (* e (cos v))) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ (* e (cos v)) (sin v)) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* e (+ 1 (* -1/2 (pow v 2)))) |
(* -1 (* e (- (* -1 (+ 1 (* -1/2 (pow v 2)))) (/ 1 e)))) |
(* -1 (* e (- (* -1 (+ 1 (* -1/2 (pow v 2)))) (/ 1 e)))) |
(* -1 (* e (- (* -1 (+ 1 (* -1/2 (pow v 2)))) (/ 1 e)))) |
| Outputs |
|---|
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(*.f64 e v) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v) |
(*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/5040 binary64) e) (pow.f64 v #s(literal 4 binary64)) (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)))) (*.f64 e v)) |
v |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) v) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) v) |
(+.f64 #s(literal 1 binary64) e) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
(fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64))) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(*.f64 e v) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v) |
(*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/5040 binary64) e) (pow.f64 v #s(literal 4 binary64)) (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)))) (*.f64 e v)) |
(+.f64 #s(literal 1 binary64) e) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
(fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64))) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
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(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) |
(cos.f64 v) |
(cos.f64 v) |
(cos.f64 v) |
(cos.f64 v) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 v v)) e) |
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(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) e) v) v (fma.f64 (/.f64 e (*.f64 v v)) (*.f64 v v) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) e) v) v (fma.f64 (/.f64 e (*.f64 v v)) (*.f64 v v) #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) e) |
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(*.f64 (fma.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e (sin.f64 v)) e) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (sin.f64 v) (fma.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e) |
(*.f64 (sin.f64 v) e) |
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(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
#s(literal 1 binary64) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(*.f64 (sin.f64 v) e) |
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(*.f64 (fma.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e (sin.f64 v)) e) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (sin.f64 v) (fma.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e) |
(*.f64 e v) |
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(*.f64 (fma.f64 (*.f64 v (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64))) e v) e) |
e |
(*.f64 (-.f64 #s(literal 1 binary64) e) e) |
(*.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64)) e #s(literal 1 binary64)) e) |
#s(literal 1 binary64) |
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(*.f64 (sin.f64 v) e) |
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e (sin.f64 v)) e) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (sin.f64 v) (fma.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e) |
(*.f64 (sin.f64 v) e) |
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(*.f64 (sin.f64 v) e) |
#s(literal 1 binary64) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(*.f64 (sin.f64 v) e) |
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e (sin.f64 v)) e) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (sin.f64 v) (fma.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
#s(literal 1 binary64) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(neg.f64 e) |
(neg.f64 e) |
(neg.f64 e) |
(neg.f64 e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e (sin.f64 v)) e) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (sin.f64 v) (fma.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e) |
(/.f64 #s(literal 1 binary64) (sin.f64 v)) |
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
#s(literal 1 binary64) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
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(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) |
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(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) |
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 binary64))))) |
v |
(-.f64 v (/.f64 v e)) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(-.f64 (-.f64 v (/.f64 v (pow.f64 e #s(literal 3 binary64)))) (/.f64 (-.f64 v (/.f64 v e)) e)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) |
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(-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64)))) |
e |
(+.f64 #s(literal 1 binary64) e) |
(+.f64 #s(literal 1 binary64) e) |
(+.f64 #s(literal 1 binary64) e) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) |
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(*.f64 (sin.f64 v) e) |
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(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
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(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
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(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(neg.f64 e) |
(neg.f64 e) |
(neg.f64 e) |
(neg.f64 e) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
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(*.f64 (cos.f64 v) (/.f64 e (sin.f64 v))) |
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(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
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(/.f64 (sin.f64 v) (cos.f64 v)) |
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(*.f64 (sin.f64 v) e) |
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(*.f64 (sin.f64 v) e) |
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v |
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(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) |
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(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) e)) |
e |
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(/.f64 (sin.f64 v) (cos.f64 v)) |
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(*.f64 (sin.f64 v) e) |
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(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (cos.f64 v) e) |
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(/.f64 (sin.f64 v) (cos.f64 v)) |
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(*.f64 (neg.f64 e) (cos.f64 v)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(neg.f64 e) |
(neg.f64 e) |
(neg.f64 e) |
(neg.f64 e) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) |
(*.f64 (cos.f64 v) (/.f64 e (sin.f64 v))) |
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 167 |
| 0 | 53 | 162 |
| 1 | 200 | 162 |
| 2 | 1227 | 160 |
| 0 | 9020 | 160 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(/.f64 e (+.f64 #s(literal 1 binary64) e)) |
(+.f64 #s(literal 1 binary64) e) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(*.f64 e (sin.f64 v)) |
#s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(neg.f64 e) |
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) |
(cos.f64 v) |
(fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
| Outputs |
|---|
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Compiled 39 442 to 3 049 computations (92.3% saved)
44 alts after pruning (41 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 419 | 36 | 1 455 |
| Fresh | 5 | 5 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 426 | 44 | 1 470 |
| Status | Accuracy | Program |
|---|---|---|
| 89.4% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v))) (*.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)))) | |
| 38.2% | (/.f64 (*.f64 (pow.f64 (neg.f64 e) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)))) | |
| 66.8% | (/.f64 (*.f64 (*.f64 (neg.f64 e) e) #s(literal 1 binary64)) (*.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)))) | |
| ✓ | 99.7% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| 54.7% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) | |
| 56.4% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) | |
| 97.5% | (/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) | |
| 50.7% | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) | |
| 50.5% | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) | |
| 52.1% | (/.f64 #s(approx (* e (sin v)) (*.f64 e v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) | |
| 54.6% | (/.f64 e (/.f64 (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)) (sin.f64 v))) | |
| 97.3% | (/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) | |
| 95.6% | (/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) | |
| 76.4% | (/.f64 e (*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1/2 binary64)))) | |
| ▶ | 52.5% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
| 52.6% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) | |
| 51.4% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) | |
| 98.9% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) | |
| 98.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))) | |
| 99.6% | (*.f64 (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) | |
| ▶ | 99.7% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (neg.f64 e) (sin.f64 v))) | |
| 97.5% | #s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) | |
| 95.9% | #s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e)) | |
| ▶ | 99.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
| 51.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) | |
| 50.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) | |
| 50.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) | |
| ✓ | 97.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
| 46.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 e) e) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) | |
| 51.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) | |
| 51.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v)) | |
| ✓ | 51.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| 51.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) | |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) | |
| 50.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 96.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) | |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) | |
| 50.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) | |
| ▶ | 49.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| 50.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) | |
| 68.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))) | |
| 50.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v))) | |
| ▶ | 50.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
Compiled 2 106 to 1 391 computations (34% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) | |
| cost-diff | 0 | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) | |
| cost-diff | 384 | (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) | |
| cost-diff | 768 | (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) | |
| cost-diff | 0 | #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) | |
| cost-diff | 128 | (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) | |
| cost-diff | 0 | (*.f64 e v) | |
| cost-diff | 0 | #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) | |
| cost-diff | 0 | (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 481 |
| 0 | 96 | 478 |
| 1 | 164 | 450 |
| 2 | 371 | 436 |
| 3 | 1539 | 408 |
| 4 | 5934 | 402 |
| 5 | 6644 | 402 |
| 6 | 7954 | 402 |
| 0 | 8389 | 390 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(sin.f64 v) |
v |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
e |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) |
(*.f64 e v) |
e |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))) |
(*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) |
(*.f64 e v) |
e |
v |
(fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) |
#s(literal -1/6 binary64) |
(*.f64 e #s(literal 2/3 binary64)) |
#s(literal 2/3 binary64) |
(*.f64 v v) |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
e |
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) |
(fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) |
#s(literal 1/24 binary64) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))) |
(fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) |
#s(literal -1/2 binary64) |
(fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)) |
#s(literal -1/120 binary64) |
(*.f64 v v) |
v |
(+.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(sin.f64 v) |
v |
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) |
(cos.f64 v) |
(/.f64 #s(literal -1 binary64) e) |
#s(literal -1 binary64) |
e |
| Outputs |
|---|
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(sin.f64 v) |
v |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(cos.f64 v) |
e |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) |
(*.f64 e v) |
e |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (neg.f64 e)) e e) v))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (neg.f64 e)) e e) v)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (neg.f64 e)) e e) v) |
(*.f64 e v) |
e |
v |
(fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) |
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 #s(literal 2/3 binary64) e) |
#s(literal 2/3 binary64) |
(*.f64 v v) |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) e (fma.f64 e #s(literal -23/360 binary64) #s(literal 7/360 binary64))) (+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v e) #s(literal 1 binary64))) v))) |
e |
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) e (fma.f64 e #s(literal -23/360 binary64) #s(literal 7/360 binary64))) (+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v e) #s(literal 1 binary64))) v)) |
(/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) e (fma.f64 e #s(literal -23/360 binary64) #s(literal 7/360 binary64))) (+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v e) #s(literal 1 binary64))) v) |
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) e (fma.f64 e #s(literal -23/360 binary64) #s(literal 7/360 binary64))) (+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v e) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/3 binary64) e (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 e #s(literal -23/360 binary64) #s(literal 7/360 binary64))) v) v #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/24 binary64) e (fma.f64 e #s(literal -23/360 binary64) #s(literal 7/360 binary64))) |
#s(literal 1/24 binary64) |
(fma.f64 e #s(literal -23/360 binary64) #s(literal 7/360 binary64)) |
(fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) |
#s(literal -1/2 binary64) |
(fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)) |
#s(literal -1/120 binary64) |
(*.f64 v v) |
v |
(-.f64 e #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(sin.f64 v) |
v |
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) |
(cos.f64 v) |
(/.f64 #s(literal -1 binary64) e) |
#s(literal -1 binary64) |
e |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 v) | |
| accuracy | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) | |
| accuracy | 0.00390625 | (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) | |
| accuracy | 0.28125 | (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) | |
| accuracy | 0.26171875 | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) | |
| accuracy | 0.94921875 | (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))) | |
| accuracy | 3.4396815811820733 | (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) | |
| accuracy | 31.246255706665856 | #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) | |
| accuracy | 0.30859375 | (*.f64 e #s(literal 2/3 binary64)) | |
| accuracy | 0.7955645484902302 | (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) | |
| accuracy | 1.4189465228003737 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) | |
| accuracy | 31.32569024574713 | #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))) | |
| accuracy | 0 | (*.f64 e v) | |
| accuracy | 2.531870610824296 | #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) | |
| accuracy | 30.996486388900056 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) | |
| accuracy | 0 | (sin.f64 v) | |
| accuracy | 0 | (cos.f64 v) | |
| accuracy | 0.0390625 | (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| accuracy | 0.1484375 | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 120.0ms | 256× | 0 | valid |
Compiled 865 to 117 computations (86.5% saved)
ival-mult: 33.0ms (34% of total)ival-add: 18.0ms (18.6% of total)const: 17.0ms (17.5% of total)ival-div: 12.0ms (12.4% of total)ival-sin: 7.0ms (7.2% of total)ival-cos: 5.0ms (5.2% of total)ival-sub: 2.0ms (2.1% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 e v) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cos.f64 v) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 e #s(literal 2/3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (*.f64 e v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (*.f64 e v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (*.f64 e v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (*.f64 e v) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | e | @ | inf | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (* e v) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (cos v) (* e 2/3) (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v)) |
| 13.0ms | v | @ | 0 | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (* e v) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (cos v) (* e 2/3) (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v)) |
| 11.0ms | v | @ | inf | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (* e v) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (cos v) (* e 2/3) (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v)) |
| 11.0ms | v | @ | -inf | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (* e v) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (cos v) (* e 2/3) (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v)) |
| 10.0ms | e | @ | -inf | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (* e v) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (cos v) (* e 2/3) (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 605 | 7362 |
| 1 | 1945 | 7023 |
| 2 | 6393 | 6968 |
| 0 | 8427 | 6558 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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v |
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(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))) |
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))) |
1 |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
-1/6 |
(- (* 2/3 e) 1/6) |
(- (* 2/3 e) 1/6) |
(- (* 2/3 e) 1/6) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (* v (+ 1 (* -1/6 (pow v 2))))) |
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2)))))) |
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2)))))) |
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2)))))) |
7/360 |
(+ 7/360 (* -23/360 e)) |
(+ 7/360 (* -23/360 e)) |
(+ 7/360 (* -23/360 e)) |
1/6 |
(+ 1/6 (* -1/3 e)) |
(+ 1/6 (* -1/3 e)) |
(+ 1/6 (* -1/3 e)) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(/ 1 (sin v)) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(/ 1 e) |
(/ (+ 1 (* e (cos v))) e) |
(/ (+ 1 (* e (cos v))) e) |
(/ (+ 1 (* e (cos v))) e) |
(* 2/3 e) |
(* 2/3 e) |
(* 2/3 e) |
(* 2/3 e) |
(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v) |
(+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) |
(+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) |
(+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (sin v) (* e (cos v))) |
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e) |
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e) |
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
v |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* 2/3 e) |
(* e (- 2/3 (* 1/6 (/ 1 e)))) |
(* e (- 2/3 (* 1/6 (/ 1 e)))) |
(* e (- 2/3 (* 1/6 (/ 1 e)))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (* v (- (* 2/3 (pow v 2)) 1))) |
(* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e))) |
(* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e))) |
(* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e))) |
(* -23/360 e) |
(* e (- (* 7/360 (/ 1 e)) 23/360)) |
(* e (- (* 7/360 (/ 1 e)) 23/360)) |
(* e (- (* 7/360 (/ 1 e)) 23/360)) |
(* -1/3 e) |
(* e (- (* 1/6 (/ 1 e)) 1/3)) |
(* e (- (* 1/6 (/ 1 e)) 1/3)) |
(* e (- (* 1/6 (/ 1 e)) 1/3)) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (* e (cos v)) (sin v)) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(cos v) |
(+ (cos v) (/ 1 e)) |
(+ (cos v) (/ 1 e)) |
(+ (cos v) (/ 1 e)) |
(* 2/3 e) |
(* 2/3 e) |
(* 2/3 e) |
(* 2/3 e) |
(/ (* e (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) v) |
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))) |
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))) |
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ (sin v) (* e (cos v))) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
v |
(+ v (* -1 (/ v e))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* 2/3 e) |
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3))) |
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3))) |
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -1 (* (pow e 2) (* v (+ 1 (* -2/3 (pow v 2)))))) |
(* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e))) |
(* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e))) |
(* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e))) |
(* -23/360 e) |
(* -1 (* e (- 23/360 (* 7/360 (/ 1 e))))) |
(* -1 (* e (- 23/360 (* 7/360 (/ 1 e))))) |
(* -1 (* e (- 23/360 (* 7/360 (/ 1 e))))) |
(* -1/3 e) |
(* -1 (* e (- 1/3 (* 1/6 (/ 1 e))))) |
(* -1 (* e (- 1/3 (* 1/6 (/ 1 e))))) |
(* -1 (* e (- 1/3 (* 1/6 (/ 1 e))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ (* e (cos v)) (sin v)) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) |
(cos v) |
(+ (cos v) (/ 1 e)) |
(+ (cos v) (/ 1 e)) |
(+ (cos v) (/ 1 e)) |
(* 2/3 e) |
(* 2/3 e) |
(* 2/3 e) |
(* 2/3 e) |
(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) |
(* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v)))) |
(* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v)))) |
(* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v)))) |
| Outputs |
|---|
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) |
(fma.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e (*.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(/.f64 v (+.f64 #s(literal 1 binary64) e)) |
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#s(literal -1/6 binary64) |
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#s(literal 7/360 binary64) |
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#s(literal 1/6 binary64) |
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(*.f64 (cos.f64 v) e) |
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(/.f64 (sin.f64 v) (cos.f64 v)) |
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v |
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(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 binary64))))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) |
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 binary64))))) |
(cos.f64 v) |
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) |
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) |
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) |
(*.f64 #s(literal 2/3 binary64) e) |
(*.f64 #s(literal 2/3 binary64) e) |
(*.f64 #s(literal 2/3 binary64) e) |
(*.f64 #s(literal 2/3 binary64) e) |
(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) e) v (/.f64 (/.f64 #s(literal 1 binary64) v) e)) (/.f64 #s(literal 1 binary64) v))) e) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) e) v (/.f64 (/.f64 #s(literal 1 binary64) v) e)) (/.f64 #s(literal 1 binary64) v))) e) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) e) v (/.f64 (/.f64 #s(literal 1 binary64) v) e)) (/.f64 #s(literal 1 binary64) v))) e) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) |
(/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v)) |
(/.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (cos.f64 v))) (neg.f64 e)) |
(/.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) e) |
(/.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) e) |
(*.f64 (cos.f64 v) e) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) |
v |
(-.f64 v (/.f64 v e)) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e)) |
(*.f64 e v) |
(*.f64 e v) |
(*.f64 e v) |
(*.f64 e v) |
(*.f64 #s(literal 2/3 binary64) e) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal 2/3 binary64)) (neg.f64 e)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal 2/3 binary64)) (neg.f64 e)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal 2/3 binary64)) (neg.f64 e)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) |
(*.f64 (*.f64 (neg.f64 e) e) (*.f64 (cos.f64 v) (sin.f64 v))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)) |
(*.f64 (*.f64 (neg.f64 e) e) (fma.f64 #s(literal -2/3 binary64) (pow.f64 v #s(literal 3 binary64)) v)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) e) (fma.f64 #s(literal -2/3 binary64) (pow.f64 v #s(literal 3 binary64)) v)) (*.f64 e e)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) e) (fma.f64 #s(literal -2/3 binary64) (pow.f64 v #s(literal 3 binary64)) v)) (*.f64 e e)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) e) (fma.f64 #s(literal -2/3 binary64) (pow.f64 v #s(literal 3 binary64)) v)) (*.f64 e e)) |
(*.f64 #s(literal -23/360 binary64) e) |
(*.f64 (-.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 7/360 binary64) e)) (neg.f64 e)) |
(*.f64 (-.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 7/360 binary64) e)) (neg.f64 e)) |
(*.f64 (-.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 7/360 binary64) e)) (neg.f64 e)) |
(*.f64 #s(literal -1/3 binary64) e) |
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) (neg.f64 e)) |
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) (neg.f64 e)) |
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) (neg.f64 e)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) |
(*.f64 (cos.f64 v) (/.f64 e (sin.f64 v))) |
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) |
(cos.f64 v) |
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) |
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) |
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) |
(*.f64 #s(literal 2/3 binary64) e) |
(*.f64 #s(literal 2/3 binary64) e) |
(*.f64 #s(literal 2/3 binary64) e) |
(*.f64 #s(literal 2/3 binary64) e) |
(*.f64 (neg.f64 e) (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v)) |
(*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) v (/.f64 #s(literal 1 binary64) v)) e)) (neg.f64 e)) |
(*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) v (/.f64 #s(literal 1 binary64) v)) e)) (neg.f64 e)) |
(*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) v (/.f64 #s(literal 1 binary64) v)) e)) (neg.f64 e)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 342 |
| 0 | 96 | 339 |
| 1 | 398 | 321 |
| 2 | 3250 | 321 |
| 0 | 8554 | 309 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(sin.f64 v) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) |
(*.f64 e v) |
(+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))) |
(*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))) |
(fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) |
(cos.f64 v) |
(*.f64 e #s(literal 2/3 binary64)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) |
| Outputs |
|---|
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Compiled 38 218 to 2 953 computations (92.3% saved)
55 alts after pruning (49 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 852 | 21 | 873 |
| Fresh | 8 | 28 | 36 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 862 | 55 | 917 |
| Status | Accuracy | Program |
|---|---|---|
| 89.4% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v))) (*.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)))) | |
| 38.2% | (/.f64 (*.f64 (pow.f64 (neg.f64 e) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)))) | |
| 66.8% | (/.f64 (*.f64 (*.f64 (neg.f64 e) e) #s(literal 1 binary64)) (*.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)))) | |
| ✓ | 99.7% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| ▶ | 54.7% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
| 50.7% | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) | |
| 50.5% | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) | |
| 52.1% | (/.f64 #s(approx (* e (sin v)) (*.f64 e v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) | |
| 54.6% | (/.f64 e (/.f64 (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)) (sin.f64 v))) | |
| 95.6% | (/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) | |
| 76.4% | (/.f64 e (*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1/2 binary64)))) | |
| 52.6% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) e) (fma.f64 (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/5040 binary64) e #s(literal -1/5040 binary64))))) (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) | |
| 52.4% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) | |
| 52.5% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) | |
| 52.6% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) | |
| 52.6% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) | |
| 51.4% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) | |
| 50.7% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) | |
| 6.1% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) | |
| 6.1% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v))))) | |
| 98.9% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) | |
| ✓ | 99.7% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 97.5% | (*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) | |
| ▶ | 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (neg.f64 e) (sin.f64 v))) |
| 51.5% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e) | |
| 97.6% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) | |
| 95.9% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) | |
| ✓ | 99.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
| 97.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 #s(approx (cos v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) e)))) | |
| 69.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) #s(literal -1 binary64))))) | |
| 95.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) | |
| 51.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) | |
| 50.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) | |
| 98.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)))) | |
| ▶ | 50.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
| ✓ | 97.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
| 99.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (pow.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64)) (sin.f64 v))) | |
| 46.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 e) e) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) | |
| 51.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v)) | |
| ✓ | 51.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| 51.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) | |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) | |
| 50.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 96.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) | |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) | |
| ▶ | 50.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
| ✓ | 49.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| 50.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) (*.f64 v (*.f64 e v)))))) | |
| 50.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) | |
| 68.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))) | |
| 50.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v) e))) | |
| 50.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) | |
| ▶ | 50.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v))) |
| 50.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) | |
| 23.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* e v) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v) e) e)))) |
Compiled 3 236 to 2 086 computations (35.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 (sin.f64 v) e) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v)) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v))) | |
| cost-diff | 128 | (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) | |
| cost-diff | 384 | (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) | |
| cost-diff | 0 | (*.f64 e v) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) e) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) | |
| cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) e) v) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) | |
| cost-diff | 0 | #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) | |
| cost-diff | 0 | (cos.f64 v) | |
| cost-diff | 0 | (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (neg.f64 e) (sin.f64 v))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 487 |
| 0 | 102 | 484 |
| 1 | 185 | 465 |
| 2 | 389 | 459 |
| 3 | 1200 | 459 |
| 4 | 4785 | 459 |
| 0 | 8164 | 444 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (neg.f64 e) (sin.f64 v))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
v |
e |
#s(literal 1 binary64) |
(*.f64 (neg.f64 e) (sin.f64 v)) |
(neg.f64 e) |
(sin.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))) |
#s(literal 1 binary64) |
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)) |
(+.f64 #s(literal 1 binary64) e) |
e |
(*.f64 e v) |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v)) |
(*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v) |
(*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) |
e |
(fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) |
(fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) |
(*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) |
(fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) |
#s(literal -1/8 binary64) |
(fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) |
#s(literal -1/120 binary64) |
#s(literal 1/120 binary64) |
v |
(+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) |
#s(literal -1/6 binary64) |
(*.f64 e #s(literal 2/3 binary64)) |
#s(literal 2/3 binary64) |
(*.f64 v v) |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
v |
e |
(fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)) |
#s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 v v) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
v |
e |
#s(literal 1 binary64) |
(*.f64 (sin.f64 v) (neg.f64 e)) |
(neg.f64 e) |
(sin.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e) |
(+.f64 #s(literal 1 binary64) e) |
e |
(*.f64 e v) |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) (*.f64 e v)))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) (*.f64 e v))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) (*.f64 e v)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (neg.f64 e)) e e) |
e |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) |
(fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) |
#s(literal -1/8 binary64) |
(fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) |
#s(literal -1/120 binary64) |
#s(literal 1/120 binary64) |
v |
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 #s(literal 2/3 binary64) e) |
#s(literal 2/3 binary64) |
(*.f64 v v) |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
v |
e |
(fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)) |
#s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 v v) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0390625 | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) | |
| accuracy | 0.13671875 | (*.f64 (sin.f64 v) e) | |
| accuracy | 0.27622752834395237 | (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) | |
| accuracy | 31.266491253834346 | #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) | |
| accuracy | 0.30859375 | (*.f64 e #s(literal 2/3 binary64)) | |
| accuracy | 1.4189465228003737 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v))) | |
| accuracy | 4.716771749176225 | (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) | |
| accuracy | 31.274256790465564 | #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v)) | |
| accuracy | 0 | (*.f64 e v) | |
| accuracy | 0.2265625 | (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)) | |
| accuracy | 0.6157577759681646 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))) | |
| accuracy | 30.996486388900056 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) | |
| accuracy | 0.015625 | (*.f64 (-.f64 #s(literal 1 binary64) e) v) | |
| accuracy | 0.02734375 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) | |
| accuracy | 1.4657601776549611 | #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)) | |
| accuracy | 30.996486388900056 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) | |
| accuracy | 0 | (cos.f64 v) | |
| accuracy | 0.01953125 | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (neg.f64 e) (sin.f64 v))) | |
| accuracy | 0.03515625 | (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| accuracy | 0.13671875 | (*.f64 (neg.f64 e) (sin.f64 v)) |
| 124.0ms | 256× | 0 | valid |
Compiled 853 to 123 computations (85.6% saved)
ival-mult: 38.0ms (38.5% of total)ival-add: 17.0ms (17.2% of total)const: 17.0ms (17.2% of total)ival-div: 11.0ms (11.2% of total)ival-cos: 6.0ms (6.1% of total)ival-sin: 5.0ms (5.1% of total)ival-sub: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (neg.f64 e) (sin.f64 v))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cos.f64 v) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) e) v) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) e) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 e v) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v)) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 v) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (neg.f64 e) (sin.f64 v)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch (*.f64 e #s(literal 2/3 binary64)) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | v | @ | -inf | ((* (/ -1 (+ (* (cos v) e) 1)) (* (neg e) (sin v))) (/ -1 (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* (* (- 1 e) v) e) (* (- 1 e) v) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (* e v) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (* (neg e) (sin v)) (/ (+ 1 e) (* e v)) (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (* e 2/3) (cos v) (+ (* -1/720 (* v v)) 1/24)) |
| 5.0ms | e | @ | -inf | ((* (/ -1 (+ (* (cos v) e) 1)) (* (neg e) (sin v))) (/ -1 (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* (* (- 1 e) v) e) (* (- 1 e) v) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (* e v) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (* (neg e) (sin v)) (/ (+ 1 e) (* e v)) (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (* e 2/3) (cos v) (+ (* -1/720 (* v v)) 1/24)) |
| 5.0ms | v | @ | inf | ((* (/ -1 (+ (* (cos v) e) 1)) (* (neg e) (sin v))) (/ -1 (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* (* (- 1 e) v) e) (* (- 1 e) v) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (* e v) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (* (neg e) (sin v)) (/ (+ 1 e) (* e v)) (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (* e 2/3) (cos v) (+ (* -1/720 (* v v)) 1/24)) |
| 4.0ms | v | @ | 0 | ((* (/ -1 (+ (* (cos v) e) 1)) (* (neg e) (sin v))) (/ -1 (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* (* (- 1 e) v) e) (* (- 1 e) v) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (* e v) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (* (neg e) (sin v)) (/ (+ 1 e) (* e v)) (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (* e 2/3) (cos v) (+ (* -1/720 (* v v)) 1/24)) |
| 4.0ms | e | @ | inf | ((* (/ -1 (+ (* (cos v) e) 1)) (* (neg e) (sin v))) (/ -1 (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* (* (- 1 e) v) e) (* (- 1 e) v) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (* e v) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (* (neg e) (sin v)) (/ (+ 1 e) (* e v)) (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (* e 2/3) (cos v) (+ (* -1/720 (* v v)) 1/24)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 472 | 6748 |
| 1 | 1550 | 6569 |
| 2 | 4869 | 6475 |
| 0 | 8349 | 6119 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ -1 (+ 1 e)) |
(- (* -1/2 (/ (* e (pow v 2)) (pow (+ 1 e) 2))) (/ 1 (+ 1 e))) |
(- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/24 (/ e (pow (+ 1 e) 2))) (* 1/4 (/ (pow e 2) (pow (+ 1 e) 3)))))) (* 1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e))) |
(- (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/48 (/ (pow e 2) (pow (+ 1 e) 3))) (+ (* 1/720 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/24 (/ e (pow (+ 1 e) 2))) (* 1/4 (/ (pow e 2) (pow (+ 1 e) 3))))) (+ 1 e))))))) (+ (* -1/24 (/ e (pow (+ 1 e) 2))) (* 1/4 (/ (pow e 2) (pow (+ 1 e) 3)))))) (* 1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e))) |
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
1 |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(* e (* v (- 1 e))) |
(* e (* v (- 1 e))) |
(* e (* v (- 1 e))) |
(* e (* v (- 1 e))) |
(* v (- 1 e)) |
(* v (- 1 e)) |
(* v (- 1 e)) |
(* v (- 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* e v) |
(* e v) |
(* e v) |
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(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
v |
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1/24 |
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(cos v) |
(cos v) |
(cos v) |
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(* e v) |
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(* e v) |
(* e v) |
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(* e (sin v)) |
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(cos v) |
(cos v) |
(cos v) |
(cos v) |
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(* e (sin v)) |
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(* (pow v 4) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (+ (/ (* e (- 1 e)) (pow v 4)) (/ (* e (- (* 2/3 e) 1/6)) (pow v 2))))) |
(* (pow v 4) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (+ (/ (* e (- 1 e)) (pow v 4)) (/ (* e (- (* 2/3 e) 1/6)) (pow v 2))))) |
(cos v) |
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-1 |
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1 |
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(* e (sin v)) |
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(* e v) |
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(* e (+ v (* -1 (* e v)))) |
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v |
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(* e v) |
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1 |
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(+ 1 e) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
1/120 |
(+ 1/120 (* -2/15 e)) |
(+ 1/120 (* -2/15 e)) |
(+ 1/120 (* -2/15 e)) |
-1/6 |
(- (* 2/3 e) 1/6) |
(- (* 2/3 e) 1/6) |
(- (* 2/3 e) 1/6) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (sin v)) |
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(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
1 |
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(/ 1 (* e v)) |
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(/ (+ (/ 1 v) (/ e v)) e) |
(/ (+ (/ 1 v) (/ e v)) e) |
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* e (+ 1 (+ (* e (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1)) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))) |
(* e (+ 1 (+ (* e (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1)) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))) |
(* e (+ 1 (+ (* e (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1)) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))) |
(* 2/3 e) |
(* 2/3 e) |
(* 2/3 e) |
(* 2/3 e) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ -1 (* e (cos v))) |
(/ (- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v))) e) |
(/ (- (/ 1 (* e (pow (cos v) 2))) (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3))))) e) |
(/ (- (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))) (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3))))) e) |
(* e (cos v)) |
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(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(/ (sin v) (cos v)) |
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(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
v |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(* -1 (* (pow e 2) v)) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(* -1 (* e v)) |
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(* e (+ (* -1 v) (/ v e))) |
(* e (+ (* -1 v) (/ v e))) |
v |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
e |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* -2/15 e) |
(* e (- (* 1/120 (/ 1 e)) 2/15)) |
(* e (- (* 1/120 (/ 1 e)) 2/15)) |
(* e (- (* 1/120 (/ 1 e)) 2/15)) |
(* 2/3 e) |
(* e (- 2/3 (* 1/6 (/ 1 e)))) |
(* e (- 2/3 (* 1/6 (/ 1 e)))) |
(* e (- 2/3 (* 1/6 (/ 1 e)))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* -1 (* e (sin v))) |
(* -1 (* e (sin v))) |
(* -1 (* e (sin v))) |
(* -1 (* e (sin v))) |
(/ 1 v) |
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(+ (/ 1 v) (/ 1 (* e v))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(* (pow e 2) (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1)) |
(* (pow e 2) (- (+ (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e))) 1)) |
(* (pow e 2) (- (+ (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e))) 1)) |
(* (pow e 2) (- (+ (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e))) 1)) |
(* 2/3 e) |
(* 2/3 e) |
(* 2/3 e) |
(* 2/3 e) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ -1 (* e (cos v))) |
(* -1 (/ (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) e)) |
(* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v))) e)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e)) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
v |
(+ v (* -1 (/ v e))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(* -1 (* (pow e 2) v)) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(* -1 (* e v)) |
(* -1 (* e (+ v (* -1 (/ v e))))) |
(* -1 (* e (+ v (* -1 (/ v e))))) |
(* -1 (* e (+ v (* -1 (/ v e))))) |
v |
(+ v (* -1 (/ v e))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
e |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* -2/15 e) |
(* -1 (* e (- 2/15 (* 1/120 (/ 1 e))))) |
(* -1 (* e (- 2/15 (* 1/120 (/ 1 e))))) |
(* -1 (* e (- 2/15 (* 1/120 (/ 1 e))))) |
(* 2/3 e) |
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3))) |
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3))) |
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (sin v))) |
(* -1 (* e (sin v))) |
(* -1 (* e (sin v))) |
(* -1 (* e (sin v))) |
(/ 1 v) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(* -1 (* (pow e 2) (+ 1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))))) |
(* (pow e 2) (+ (* -1 (+ 1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3)))) (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e)))) |
(* (pow e 2) (+ (* -1 (+ 1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3)))) (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e)))) |
(* (pow e 2) (+ (* -1 (+ 1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3)))) (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e)))) |
(* 2/3 e) |
(* 2/3 e) |
(* 2/3 e) |
(* 2/3 e) |
| Outputs |
|---|
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/24 binary64)) e))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/24 binary64)) e))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (fma.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/24 binary64)) e)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) e)) |
(fma.f64 (*.f64 (*.f64 v v) (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) e))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 3 binary64)))) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) e))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 v) v) (fma.f64 #s(literal -1/48 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 3 binary64)))) (*.f64 e (fma.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 3 binary64)))) #s(literal 1/4 binary64) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/24 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/720 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 3 binary64)))) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/24 binary64)))) (*.f64 v v) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) e))) |
(+.f64 #s(literal 1 binary64) e) |
(fma.f64 e (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) e) (pow.f64 v #s(literal 4 binary64)) (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/24 binary64)) e))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/24 binary64)) e))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (fma.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/24 binary64)) e)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/24 binary64)) e))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/24 binary64)) e))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (fma.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/24 binary64)) e)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(*.f64 e v) |
(*.f64 e v) |
(*.f64 e v) |
(*.f64 e v) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
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(sin.f64 v) |
(sin.f64 v) |
(sin.f64 v) |
(sin.f64 v) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
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(cos.f64 v) |
(cos.f64 v) |
(cos.f64 v) |
(cos.f64 v) |
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(*.f64 (sin.f64 v) e) |
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#s(literal -1 binary64) |
(fma.f64 (cos.f64 v) e #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (neg.f64 e) (cos.f64 v)) e #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) e (cos.f64 v)) e #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(*.f64 (sin.f64 v) e) |
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e (sin.f64 v)) e) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (neg.f64 (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e)) e (sin.f64 v)) e) |
(*.f64 e v) |
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v |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
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(*.f64 e v) |
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(*.f64 (fma.f64 (-.f64 (*.f64 e v) v) e v) e) |
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(*.f64 (sin.f64 v) e) |
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e (sin.f64 v)) e) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (neg.f64 (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e)) e (sin.f64 v)) e) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) e) |
(+.f64 #s(literal 1 binary64) e) |
(+.f64 #s(literal 1 binary64) e) |
(*.f64 e v) |
(*.f64 e v) |
(*.f64 e v) |
(*.f64 e v) |
#s(literal 1/120 binary64) |
(fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) |
(fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) |
(fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) |
#s(literal -1/6 binary64) |
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) |
(*.f64 (sin.f64 v) e) |
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e (sin.f64 v)) e) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (neg.f64 (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e)) e (sin.f64 v)) e) |
(*.f64 (sin.f64 v) e) |
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(*.f64 (sin.f64 v) e) |
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(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (neg.f64 (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e)) e (sin.f64 v)) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
#s(literal 1 binary64) |
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(*.f64 (neg.f64 e) (sin.f64 v)) |
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(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) e (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))) e) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) e (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))) e) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) e (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))) e) |
(*.f64 #s(literal 2/3 binary64) e) |
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(/.f64 (sin.f64 v) (cos.f64 v)) |
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(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) |
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 binary64))))) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) |
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(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) e) (/.f64 #s(literal 1 binary64) (cos.f64 v))) e) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (pow.f64 e #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) e) (/.f64 #s(literal 1 binary64) (cos.f64 v)))) e) |
(*.f64 (cos.f64 v) e) |
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(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) |
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 binary64))))) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) |
v |
(-.f64 v (/.f64 v e)) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(-.f64 (-.f64 v (/.f64 v (pow.f64 e #s(literal 3 binary64)))) (/.f64 (-.f64 v (/.f64 v e)) e)) |
(*.f64 (*.f64 (neg.f64 e) v) e) |
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(*.f64 (-.f64 (/.f64 v e) v) (*.f64 e e)) |
(*.f64 (-.f64 (/.f64 v e) v) (*.f64 e e)) |
(*.f64 (neg.f64 e) v) |
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(*.f64 (-.f64 (/.f64 v e) v) e) |
(*.f64 (-.f64 (/.f64 v e) v) e) |
v |
(-.f64 v (/.f64 v e)) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(-.f64 (-.f64 v (/.f64 v (pow.f64 e #s(literal 3 binary64)))) (/.f64 (-.f64 v (/.f64 v e)) e)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) |
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 binary64))))) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) |
e |
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(+.f64 #s(literal 1 binary64) e) |
(+.f64 #s(literal 1 binary64) e) |
(*.f64 e v) |
(*.f64 e v) |
(*.f64 e v) |
(*.f64 e v) |
(*.f64 #s(literal -2/15 binary64) e) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64)) e) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64)) e) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64)) e) |
(*.f64 #s(literal 2/3 binary64) e) |
(*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) e) |
(*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) e) |
(*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) e) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) |
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 binary64))))) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) |
(*.f64 (*.f64 (neg.f64 e) e) (*.f64 (cos.f64 v) (sin.f64 v))) |
(*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)) |
(*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)) |
(*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) |
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 binary64))))) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(*.f64 (neg.f64 e) (sin.f64 v)) |
(*.f64 (neg.f64 e) (sin.f64 v)) |
(*.f64 (neg.f64 e) (sin.f64 v)) |
(*.f64 (neg.f64 e) (sin.f64 v)) |
(/.f64 #s(literal 1 binary64) v) |
(+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 e v))) |
(+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 e v))) |
(+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 e v))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) e) e) |
(*.f64 (-.f64 (fma.f64 (*.f64 v v) (+.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)) (*.f64 e e)) |
(*.f64 (-.f64 (fma.f64 (*.f64 v v) (+.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)) (*.f64 e e)) |
(*.f64 (-.f64 (fma.f64 (*.f64 v v) (+.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)) (*.f64 e e)) |
(*.f64 #s(literal 2/3 binary64) e) |
(*.f64 #s(literal 2/3 binary64) e) |
(*.f64 #s(literal 2/3 binary64) e) |
(*.f64 #s(literal 2/3 binary64) e) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) |
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 #s(literal 1 binary64) (cos.f64 v))) e) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) e)) (neg.f64 e)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) e)) e)) (neg.f64 e)) |
(*.f64 (cos.f64 v) e) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) |
v |
(-.f64 v (/.f64 v e)) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e)) |
(*.f64 (*.f64 (neg.f64 e) v) e) |
(*.f64 (-.f64 (/.f64 v e) v) (*.f64 e e)) |
(*.f64 (-.f64 (/.f64 v e) v) (*.f64 e e)) |
(*.f64 (-.f64 (/.f64 v e) v) (*.f64 e e)) |
(*.f64 (neg.f64 e) v) |
(*.f64 (-.f64 (/.f64 v e) v) e) |
(*.f64 (-.f64 (/.f64 v e) v) e) |
(*.f64 (-.f64 (/.f64 v e) v) e) |
v |
(-.f64 v (/.f64 v e)) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) |
e |
(+.f64 #s(literal 1 binary64) e) |
(+.f64 #s(literal 1 binary64) e) |
(+.f64 #s(literal 1 binary64) e) |
(*.f64 e v) |
(*.f64 e v) |
(*.f64 e v) |
(*.f64 e v) |
(*.f64 #s(literal -2/15 binary64) e) |
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/120 binary64) e)) (neg.f64 e)) |
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/120 binary64) e)) (neg.f64 e)) |
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/120 binary64) e)) (neg.f64 e)) |
(*.f64 #s(literal 2/3 binary64) e) |
(*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) e) |
(*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) e) |
(*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) e) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) |
(*.f64 (*.f64 (neg.f64 e) e) (*.f64 (cos.f64 v) (sin.f64 v))) |
(*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)) |
(*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)) |
(*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(*.f64 (neg.f64 e) (sin.f64 v)) |
(*.f64 (neg.f64 e) (sin.f64 v)) |
(*.f64 (neg.f64 e) (sin.f64 v)) |
(*.f64 (neg.f64 e) (sin.f64 v)) |
(/.f64 #s(literal 1 binary64) v) |
(+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 e v))) |
(+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 e v))) |
(+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 e v))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 v v) #s(literal -2/3 binary64)) (*.f64 v v) #s(literal 1 binary64)) e) (neg.f64 e)) |
(*.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) e) (*.f64 v v) (/.f64 #s(literal 1 binary64) e)) (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 v v) #s(literal -2/3 binary64)) (*.f64 v v) #s(literal 1 binary64))) (*.f64 e e)) |
(*.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) e) (*.f64 v v) (/.f64 #s(literal 1 binary64) e)) (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 v v) #s(literal -2/3 binary64)) (*.f64 v v) #s(literal 1 binary64))) (*.f64 e e)) |
(*.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) e) (*.f64 v v) (/.f64 #s(literal 1 binary64) e)) (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 v v) #s(literal -2/3 binary64)) (*.f64 v v) #s(literal 1 binary64))) (*.f64 e e)) |
(*.f64 #s(literal 2/3 binary64) e) |
(*.f64 #s(literal 2/3 binary64) e) |
(*.f64 #s(literal 2/3 binary64) e) |
(*.f64 #s(literal 2/3 binary64) e) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 341 |
| 0 | 102 | 338 |
| 1 | 390 | 321 |
| 2 | 2849 | 321 |
| 0 | 8848 | 313 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (neg.f64 e) (sin.f64 v))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(+.f64 #s(literal 1 binary64) e) |
(*.f64 e v) |
(fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) |
(+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v)) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
(fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)) |
(*.f64 (neg.f64 e) (sin.f64 v)) |
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)) |
(*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) |
(*.f64 e #s(literal 2/3 binary64)) |
#s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) |
| Outputs |
|---|
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Compiled 39 243 to 3 234 computations (91.8% saved)
62 alts after pruning (53 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 125 | 16 | 1 141 |
| Fresh | 7 | 37 | 44 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 134 | 62 | 1 196 |
| Status | Accuracy | Program |
|---|---|---|
| 89.4% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v))) (*.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)))) | |
| 38.2% | (/.f64 (*.f64 (pow.f64 (neg.f64 e) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)))) | |
| 66.8% | (/.f64 (*.f64 (*.f64 (neg.f64 e) e) #s(literal 1 binary64)) (*.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)))) | |
| ✓ | 99.7% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| ✓ | 54.7% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
| 51.2% | (/.f64 #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) | |
| 50.5% | (/.f64 #s(approx (* (sin v) e) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) | |
| 52.2% | (/.f64 #s(approx (* (sin v) e) (*.f64 e v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) | |
| 50.7% | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) | |
| 50.5% | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) | |
| 52.1% | (/.f64 #s(approx (* e (sin v)) (*.f64 e v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) | |
| 54.6% | (/.f64 e (/.f64 (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)) (sin.f64 v))) | |
| 95.6% | (/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) | |
| 76.4% | (/.f64 e (*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1/2 binary64)))) | |
| 52.6% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) e) (fma.f64 (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/5040 binary64) e #s(literal -1/5040 binary64))))) (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) | |
| 52.4% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) | |
| 52.5% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) | |
| 52.6% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) | |
| 52.6% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) | |
| 51.4% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) | |
| 6.1% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) | |
| 6.1% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v))))) | |
| 98.9% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) | |
| ✓ | 99.7% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 97.5% | (*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) | |
| ✓ | 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (neg.f64 e) (sin.f64 v))) |
| 51.5% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e) | |
| 97.6% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) | |
| 95.9% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) | |
| ✓ | 99.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
| 97.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 #s(approx (cos v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) e)))) | |
| 69.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) #s(literal -1 binary64))))) | |
| 95.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) | |
| 51.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) | |
| 50.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))) | |
| 50.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) | |
| 98.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)))) | |
| 49.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v)))) | |
| ✓ | 97.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
| 99.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (pow.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64)) (sin.f64 v))) | |
| 46.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 e) e) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) | |
| 51.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v)) | |
| ✓ | 51.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) | |
| 50.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 96.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) | |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (-.f64 v (/.f64 v e)))) | |
| 50.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) e)))) | |
| 50.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e v)))) | |
| ✓ | 50.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
| 50.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) | |
| 24.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v)) e))) | |
| ✓ | 49.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| 44.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (*.f64 (-.f64 (/.f64 v e) v) (*.f64 e e))))) | |
| 50.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) (*.f64 e v)))) | |
| 50.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) | |
| 68.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) | |
| 50.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v) e))) | |
| 50.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) | |
| 49.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v))) | |
| 22.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) e) e)) v))) | |
| 23.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* e v) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v) e) e)))) |
Compiled 4 610 to 1 736 computations (62.3% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (*.f64 (-.f64 (/.f64 v e) v) (*.f64 e e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* e v) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 e) e) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) (*.f64 v (*.f64 e v)))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) (*.f64 e v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 e v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 #s(approx (cos v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) e) (fma.f64 (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/5040 binary64) e #s(literal -1/5040 binary64))))) (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) e)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 e (/.f64 (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (neg.f64 e) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))) |
(/.f64 (*.f64 (*.f64 (neg.f64 e) e) #s(literal 1 binary64)) (*.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (pow.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64)) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(/.f64 (*.f64 (pow.f64 (neg.f64 e) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)))) |
(*.f64 (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) #s(literal -1 binary64))))) |
(/.f64 e (*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v))) (*.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
3 calls:
| 26.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 24.0ms | v |
| 24.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | e |
| 99.7% | 1 | v |
| 99.7% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (*.f64 (-.f64 (/.f64 v e) v) (*.f64 e e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* e v) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 e) e) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) (*.f64 v (*.f64 e v)))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) (*.f64 e v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 e v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 #s(approx (cos v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) e) (fma.f64 (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/5040 binary64) e #s(literal -1/5040 binary64))))) (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) e)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 e (/.f64 (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
3 calls:
| 20.0ms | v |
| 20.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 20.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | e |
| 99.7% | 1 | v |
| 99.7% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (*.f64 (-.f64 (/.f64 v e) v) (*.f64 e e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* e v) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 e) e) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) (*.f64 v (*.f64 e v)))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) (*.f64 e v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 e v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 #s(approx (cos v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) e) (fma.f64 (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/5040 binary64) e #s(literal -1/5040 binary64))))) (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) e)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 e (/.f64 (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) |
3 calls:
| 20.0ms | v |
| 20.0ms | e |
| 20.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 97.6% | 1 | e |
| 97.6% | 1 | v |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (*.f64 (-.f64 (/.f64 v e) v) (*.f64 e e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* e v) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 e) e) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) (*.f64 v (*.f64 e v)))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) (*.f64 e v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 e v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 #s(approx (cos v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) e) (fma.f64 (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/5040 binary64) e #s(literal -1/5040 binary64))))) (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) e)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 e (/.f64 (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
3 calls:
| 52.0ms | e |
| 27.0ms | v |
| 19.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | e |
| 97.6% | 1 | v |
| 97.6% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (*.f64 (-.f64 (/.f64 v e) v) (*.f64 e e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* e v) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 e) e) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) (*.f64 v (*.f64 e v)))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) (*.f64 e v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 e v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 #s(approx (cos v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) e) (fma.f64 (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/5040 binary64) e #s(literal -1/5040 binary64))))) (*.f64 v v) (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) e)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 e (/.f64 (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
3 calls:
| 22.0ms | v |
| 20.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 19.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | e |
| 97.5% | 1 | v |
| 97.5% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (*.f64 (-.f64 (/.f64 v e) v) (*.f64 e e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* e v) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 e) e) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) (*.f64 v (*.f64 e v)))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) (*.f64 e v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 e v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) |
3 calls:
| 18.0ms | v |
| 17.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 15.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | e |
| 97.5% | 1 | v |
| 97.5% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (*.f64 (-.f64 (/.f64 v e) v) (*.f64 e e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* e v) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 e) e) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) (*.f64 v (*.f64 e v)))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) (*.f64 e v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 e v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
3 calls:
| 16.0ms | v |
| 15.0ms | e |
| 15.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 1 | e |
| 96.7% | 1 | v |
| 96.7% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (*.f64 (-.f64 (/.f64 v e) v) (*.f64 e e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* e v) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 e) e) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) (*.f64 v (*.f64 e v)))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) (*.f64 e v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 e v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
| Outputs |
|---|
(/.f64 #s(approx (* (sin v) e) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
3 calls:
| 19.0ms | e |
| 15.0ms | v |
| 15.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 2 | v |
| 95.9% | 1 | e |
| 95.9% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (*.f64 (-.f64 (/.f64 v e) v) (*.f64 e e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* e v) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 e) e) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) (*.f64 v (*.f64 e v)))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) (*.f64 e v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 e v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 1/36 binary64))) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 #s(approx (* (sin v) e) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
| Outputs |
|---|
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
3 calls:
| 14.0ms | e |
| 14.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 14.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.6% | 1 | e |
| 52.6% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 52.6% | 1 | v |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (*.f64 (-.f64 (/.f64 v e) v) (*.f64 e e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* e v) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 e) e) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) (*.f64 v (*.f64 e v)))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) (*.f64 e v)))) |
| Outputs |
|---|
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
3 calls:
| 11.0ms | v |
| 11.0ms | e |
| 10.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.6% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 52.6% | 1 | e |
| 52.6% | 1 | v |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (*.f64 (-.f64 (/.f64 v e) v) (*.f64 e e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* e v) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 e) e) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) (*.f64 v (*.f64 e v)))))) |
| Outputs |
|---|
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
3 calls:
| 10.0ms | e |
| 10.0ms | v |
| 9.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 52.1% | 1 | e |
| 52.1% | 1 | v |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (*.f64 (-.f64 (/.f64 v e) v) (*.f64 e e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* e v) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 #s(approx (* e (+ (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ -1/6 (* e 2/3))) (* v v)) (- 1 e))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 e v) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) e)))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
3 calls:
| 8.0ms | v |
| 8.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 7.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.5% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 51.5% | 1 | e |
| 51.5% | 1 | v |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
3 calls:
| 4.0ms | v |
| 3.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 3.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.5% | 1 | v |
| 51.5% | 1 | e |
| 51.5% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
3 calls:
| 3.0ms | v |
| 3.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 3.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.7% | 1 | v |
| 50.7% | 1 | e |
| 50.7% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
Total -17.1b remaining (-53.4%)
Threshold costs -17.1b (-53.4%)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v)) e))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
3 calls:
| 2.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 2.0ms | v |
| 2.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.9% | 1 | e |
| 49.9% | 1 | v |
| 49.9% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 0.09322170754390899 | 0.25135840400621445 |
| 6.0ms | 80× | 0 | valid |
Compiled 309 to 199 computations (35.6% saved)
ival-sin: 2.0ms (44.3% of total)ival-cos: 1.0ms (22.2% of total)ival-mult: 1.0ms (22.2% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 351 |
| 1 | 121 | 351 |
| 2 | 124 | 351 |
| 3 | 125 | 351 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
(if (<=.f64 v #s(literal 3422735716801577/36028797018963968 binary64)) (/.f64 #s(approx (* (sin v) e) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v)))) |
(if (<=.f64 v #s(literal 3422735716801577/36028797018963968 binary64)) (/.f64 #s(approx (* (sin v) e) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64))) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 472 | 6748 |
| 1 | 1550 | 6569 |
| 2 | 4869 | 6475 |
| 0 | 8349 | 6119 |
| 0 | 386 | 5542 |
| 1 | 1231 | 5382 |
| 2 | 3689 | 5290 |
| 0 | 8042 | 4955 |
| 0 | 9 | 27 |
| 0 | 15 | 27 |
| 1 | 42 | 27 |
| 2 | 241 | 27 |
| 3 | 2097 | 27 |
| 0 | 8370 | 25 |
| 0 | 182 | 1153 |
| 1 | 554 | 1138 |
| 2 | 1582 | 1106 |
| 3 | 5266 | 1024 |
| 0 | 8387 | 956 |
| 0 | 31 | 167 |
| 0 | 53 | 162 |
| 1 | 200 | 162 |
| 2 | 1227 | 160 |
| 0 | 9020 | 160 |
| 0 | 605 | 7362 |
| 1 | 1945 | 7023 |
| 2 | 6393 | 6968 |
| 0 | 8427 | 6558 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 751 to 337 computations (55.1% saved)
(negabs v)
Compiled 804 to 278 computations (65.4% saved)
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