
Time bar (total: 6.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 14 to 13 computations (7.1% saved)
| 1.1s | 8 256× | 0 | valid |
ival-sin: 319.0ms (42% of total)ival-exp: 185.0ms (24.3% of total)ival-mult: 167.0ms (22% of total)ival-add: 36.0ms (4.7% of total)ival-sub: 34.0ms (4.5% of total)exact: 9.0ms (1.2% of total)ival-true: 6.0ms (0.8% of total)ival-assert: 4.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 0 | 0 | - | 0 | - | (exp.f64 im) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 0 | 0 | - | 0 | - | (sin.f64 re) |
| 0 | 0 | - | 0 | - | #s(literal 0 binary64) |
| 0 | 0 | - | 0 | - | im |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 0 binary64) im) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 0 | 0 | - | 0 | - | re |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 (-.f64 #s(literal 0 binary64) im)) |
| 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 |
| 76.0ms | 510× | 0 | valid |
| 2.0ms | 2× | 3 | valid |
Compiled 130 to 48 computations (63.1% saved)
ival-sin: 19.0ms (46.3% of total)ival-exp: 8.0ms (19.5% of total)ival-mult: 8.0ms (19.5% of total)ival-sub: 2.0ms (4.9% of total)ival-add: 2.0ms (4.9% of total)exact: 1.0ms (2.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 61 |
| 1 | 94 | 55 |
| 2 | 358 | 55 |
| 3 | 877 | 55 |
| 4 | 1685 | 55 |
| 5 | 2296 | 55 |
| 6 | 2644 | 55 |
| 7 | 2937 | 55 |
| 8 | 3185 | 55 |
| 9 | 3261 | 55 |
| 10 | 3263 | 55 |
| 11 | 3263 | 55 |
| 12 | 3295 | 55 |
| 13 | 3300 | 55 |
| 14 | 3300 | 55 |
| 0 | 11 | 12 |
| 0 | 18 | 11 |
| 1 | 34 | 11 |
| 2 | 76 | 11 |
| 3 | 113 | 11 |
| 4 | 139 | 11 |
| 5 | 163 | 11 |
| 6 | 182 | 11 |
| 7 | 182 | 11 |
| 8 | 184 | 11 |
| 9 | 189 | 11 |
| 10 | 189 | 11 |
| 0 | 189 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Outputs |
|---|
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re)) |
(abs im)
(negabs re)
Compiled 12 to 11 computations (8.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) im) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 38 |
| 0 | 18 | 34 |
| 1 | 34 | 34 |
| 2 | 76 | 34 |
| 3 | 113 | 34 |
| 4 | 139 | 34 |
| 5 | 163 | 34 |
| 6 | 182 | 34 |
| 7 | 182 | 34 |
| 8 | 184 | 34 |
| 9 | 189 | 34 |
| 10 | 189 | 34 |
| 0 | 189 | 34 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
(exp.f64 (-.f64 #s(literal 0 binary64) im)) |
(-.f64 #s(literal 0 binary64) im) |
#s(literal 0 binary64) |
im |
(exp.f64 im) |
| Outputs |
|---|
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) |
(exp.f64 (neg.f64 im)) |
(neg.f64 im) |
#s(literal 0 binary64) |
im |
(exp.f64 im) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) | |
| accuracy | 0.00390625 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| accuracy | 0.00390625 | (sin.f64 re) |
| 31.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 78 to 24 computations (69.2% saved)
ival-sin: 10.0ms (44.1% of total)ival-exp: 7.0ms (30.9% of total)ival-mult: 3.0ms (13.2% of total)ival-sub: 1.0ms (4.4% of total)ival-add: 1.0ms (4.4% of total)adjust: 0.0ms (0% 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 #s(literal 0 binary64) im) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | im | @ | inf | ((- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)))) |
| 1.0ms | im | @ | 0 | ((- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)))) |
| 1.0ms | im | @ | -inf | ((- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)))) |
| 1.0ms | re | @ | inf | ((- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)))) |
| 1.0ms | re | @ | 0 | ((- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 608 |
| 1 | 356 | 577 |
| 2 | 1166 | 561 |
| 3 | 3924 | 544 |
| 4 | 6363 | 544 |
| 5 | 6973 | 544 |
| 6 | 7272 | 544 |
| 0 | 8029 | 514 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(sin re) |
(sin re) |
(sin re) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(sin re) |
(sin re) |
(sin re) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* -1 im) |
(* -1 im) |
(* -1 im) |
(* -1 im) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(sin re) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
(* -1 im) |
(* -1 im) |
(* -1 im) |
(* -1 im) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* -1 im) |
(* -1 im) |
(* -1 im) |
(* -1 im) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
re |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) re) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(sin.f64 re) |
(sin.f64 re) |
(sin.f64 re) |
(sin.f64 re) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(sin.f64 re) |
(sin.f64 re) |
(sin.f64 re) |
(sin.f64 re) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(neg.f64 im) |
(neg.f64 im) |
(neg.f64 im) |
(neg.f64 im) |
#s(literal 2 binary64) |
(fma.f64 im im #s(literal 2 binary64)) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))) |
(sin.f64 re) |
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re)) |
(*.f64 (sin.f64 re) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(neg.f64 im) |
(neg.f64 im) |
(neg.f64 im) |
(neg.f64 im) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(neg.f64 im) |
(neg.f64 im) |
(neg.f64 im) |
(neg.f64 im) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 28 |
| 0 | 18 | 25 |
| 1 | 59 | 21 |
| 2 | 397 | 19 |
| 0 | 4416 | 19 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 0 binary64) im) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(sin.f64 re) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Outputs |
|---|
#<batchref> |
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Compiled 6 020 to 819 computations (86.4% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 268 | 6 | 274 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 269 | 6 | 275 |
| Status | Accuracy | Program |
|---|---|---|
| 50.4% | (/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) | |
| ▶ | 100.0% | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) |
| ▶ | 100.0% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| ▶ | 77.4% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| ▶ | 51.1% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| ▶ | 51.1% | #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) |
Compiled 176 to 152 computations (13.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (cosh.f64 im) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) | |
| cost-diff | 320 | (*.f64 #s(literal 1 binary64) (cosh.f64 im)) | |
| cost-diff | 0 | #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) | |
| cost-diff | 0 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| cost-diff | 7040 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 144 |
| 0 | 43 | 141 |
| 1 | 85 | 141 |
| 2 | 151 | 123 |
| 3 | 204 | 123 |
| 4 | 268 | 123 |
| 5 | 300 | 123 |
| 6 | 324 | 123 |
| 7 | 374 | 123 |
| 8 | 389 | 123 |
| 9 | 389 | 123 |
| 0 | 389 | 123 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(exp.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(exp.f64 im) |
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) |
(sin.f64 re) |
re |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
#s(literal 1 binary64) |
(cosh.f64 im) |
im |
(sin.f64 re) |
re |
| Outputs |
|---|
(*.f64 (cosh.f64 im) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) |
(exp.f64 (neg.f64 im)) |
(neg.f64 im) |
im |
(exp.f64 im) |
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) |
(sin.f64 re) |
re |
(*.f64 (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sin.f64 re) |
re |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 (cosh.f64 im) (sin.f64 re)) |
(cosh.f64 im) |
#s(literal 1 binary64) |
(cosh.f64 im) |
im |
(sin.f64 re) |
re |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 1 binary64) (cosh.f64 im)) | |
| accuracy | 0 | (cosh.f64 im) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) | |
| accuracy | 0.00390625 | (sin.f64 re) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| accuracy | 0.00390625 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| accuracy | 0.00390625 | (sin.f64 re) | |
| accuracy | 14.349353439821273 | #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| accuracy | 0.00390625 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| accuracy | 0.00390625 | (sin.f64 re) | |
| accuracy | 31.172497793473326 | #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (sin.f64 re) | |
| accuracy | 31.30536642844825 | #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) | |
| accuracy | 0.00390625 | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) | |
| accuracy | 0.00390625 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) | |
| accuracy | 0.00390625 | (sin.f64 re) |
| 48.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 274 to 54 computations (80.3% saved)
ival-mult: 10.0ms (30.6% of total)ival-sin: 7.0ms (21.4% of total)ival-exp: 6.0ms (18.4% of total)ival-add: 3.0ms (9.2% of total)ival-cosh: 2.0ms (6.1% of total)ival-sub: 2.0ms (6.1% of total)exact: 1.0ms (3.1% of total)ival-neg: 1.0ms (3.1% of total)adjust: 0.0ms (0% 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 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cosh.f64 im) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (cosh.f64 im) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (cosh.f64 im) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (cosh.f64 im) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (cosh.f64 im) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | im | @ | 0 | ((* (* 1/2 (sin re)) (+ (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im)) |
| 2.0ms | im | @ | -inf | ((* (* 1/2 (sin re)) (+ (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im)) |
| 2.0ms | im | @ | inf | ((* (* 1/2 (sin re)) (+ (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im)) |
| 1.0ms | re | @ | inf | ((* (* 1/2 (sin re)) (+ (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im)) |
| 1.0ms | re | @ | -inf | ((* (* 1/2 (sin re)) (+ (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 2388 |
| 1 | 498 | 2233 |
| 2 | 1354 | 2185 |
| 3 | 4239 | 2100 |
| 4 | 5100 | 2100 |
| 5 | 5546 | 2100 |
| 6 | 5843 | 2100 |
| 7 | 6477 | 2100 |
| 8 | 7368 | 2100 |
| 0 | 8171 | 1998 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* 1/2 (* re (+ (exp im) (/ 1 (exp im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im)))))))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(sin re) |
(sin re) |
(sin re) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(sin re) |
(sin re) |
(sin re) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(sin re) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(sin re) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
(sin re) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(sin re) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
1 |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(sin re) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
1 |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
| Outputs |
|---|
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) re) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
re |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) re) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re) |
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(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 103 |
| 0 | 43 | 100 |
| 1 | 137 | 72 |
| 2 | 629 | 72 |
| 0 | 5732 | 72 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
(sin.f64 re) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) |
(cosh.f64 im) |
| Outputs |
|---|
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Compiled 15 385 to 1 044 computations (93.2% saved)
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 719 | 10 | 729 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 721 | 14 | 735 |
| Status | Accuracy | Program |
|---|---|---|
| 50.4% | (/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) | |
| ✓ | 100.0% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| ✓ | 77.4% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| ▶ | 100.0% | (*.f64 (sin.f64 re) (cosh.f64 im)) |
| 92.7% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) | |
| 89.3% | (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) | |
| ▶ | 51.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| 53.0% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ▶ | 38.0% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| 51.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ▶ | 36.1% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| 51.3% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ▶ | 28.2% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| ✓ | 51.1% | #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) |
Compiled 553 to 423 computations (23.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) re) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (cosh.f64 im) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 (sin.f64 re) (cosh.f64 im)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 347 |
| 0 | 65 | 339 |
| 1 | 109 | 339 |
| 2 | 174 | 339 |
| 3 | 332 | 339 |
| 4 | 685 | 339 |
| 5 | 980 | 339 |
| 6 | 1048 | 339 |
| 7 | 1098 | 339 |
| 8 | 1188 | 339 |
| 9 | 1194 | 339 |
| 10 | 1194 | 339 |
| 0 | 1194 | 339 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 re) (cosh.f64 im)) |
(sin.f64 re) |
re |
(cosh.f64 im) |
im |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) |
(*.f64 #s(literal 1/2 binary64) re) |
#s(literal 1/2 binary64) |
re |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
#s(literal 1/240 binary64) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) |
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) |
#s(literal -1/10080 binary64) |
(*.f64 re re) |
re |
#s(literal 1/240 binary64) |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (cosh.f64 im) (sin.f64 re)) |
(sin.f64 re) |
re |
(cosh.f64 im) |
im |
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) |
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) |
(*.f64 #s(literal 1/2 binary64) re) |
#s(literal 1/2 binary64) |
re |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
#s(literal 1/240 binary64) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) |
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) |
#s(literal -1/10080 binary64) |
(*.f64 re re) |
re |
#s(literal 1/240 binary64) |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.02734375 | (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) | |
| accuracy | 0.26138372677901633 | (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) | |
| accuracy | 14.349353439821273 | #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 29.628435634199306 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) | |
| accuracy | 0.03125 | (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) | |
| accuracy | 0.25413129706765236 | (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) | |
| accuracy | 29.58483767953186 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) | |
| accuracy | 31.172497793473326 | #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 0.03515625 | (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 29.586390249108927 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) | |
| accuracy | 31.172497793473326 | #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) re) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| accuracy | 29.380804151341387 | #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) | |
| accuracy | 31.172497793473326 | #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) | |
| accuracy | 0 | (cosh.f64 im) | |
| accuracy | 0.00390625 | (*.f64 (sin.f64 re) (cosh.f64 im)) | |
| accuracy | 0.00390625 | (sin.f64 re) |
| 83.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 599 to 78 computations (87% saved)
ival-mult: 24.0ms (38.3% of total)ival-add: 13.0ms (20.7% of total)const: 11.0ms (17.6% of total)ival-sin: 6.0ms (9.6% of total)ival-exp: 4.0ms (6.4% of total)ival-cosh: 3.0ms (4.8% of total)ival-sub: 1.0ms (1.6% of total)adjust: 0.0ms (0% 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 (sin.f64 re) (cosh.f64 im)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (cosh.f64 im) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) re) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (sin.f64 re) (cosh.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (sin.f64 re) (cosh.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (sin.f64 re) (cosh.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (sin.f64 re) (cosh.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | re | @ | inf | ((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (+ (* 1/240 (* re re)) -1/12) (+ (exp (- 0 im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12)) |
| 4.0ms | re | @ | -inf | ((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (+ (* 1/240 (* re re)) -1/12) (+ (exp (- 0 im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12)) |
| 2.0ms | re | @ | 0 | ((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (+ (* 1/240 (* re re)) -1/12) (+ (exp (- 0 im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12)) |
| 1.0ms | im | @ | inf | ((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (+ (* 1/240 (* re re)) -1/12) (+ (exp (- 0 im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12)) |
| 1.0ms | im | @ | -inf | ((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (+ (* 1/240 (* re re)) -1/12) (+ (exp (- 0 im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 214 | 3512 |
| 1 | 675 | 3351 |
| 2 | 1904 | 3313 |
| 3 | 4633 | 3268 |
| 4 | 6555 | 3268 |
| 0 | 8093 | 3097 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* re (+ (exp im) (/ 1 (exp im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im)))))))))) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
1/2 |
(+ 1/2 (* -1/12 (pow re 2))) |
(+ 1/2 (* -1/12 (pow re 2))) |
(+ 1/2 (* -1/12 (pow re 2))) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
1/2 |
(+ 1/2 (* -1/12 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))) |
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
1/2 |
(+ 1/2 (* -1/12 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))) |
-1/12 |
(- (* 1/240 (pow re 2)) 1/12) |
(- (* 1/240 (pow re 2)) 1/12) |
(- (* 1/240 (pow re 2)) 1/12) |
1/240 |
(+ 1/240 (* -1/10080 (pow re 2))) |
(+ 1/240 (* -1/10080 (pow re 2))) |
(+ 1/240 (* -1/10080 (pow re 2))) |
-1/12 |
(- (* 1/240 (pow re 2)) 1/12) |
(- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12) |
(- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(sin re) |
(sin re) |
(sin re) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* -1/12 (pow re 3)) |
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* -1/12 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/240 (pow re 5)) |
(* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(* 1/240 (pow re 4)) |
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* -1/10080 (pow re 7)) |
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* (pow re 7) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* -1/10080 (pow re 6)) |
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* (pow re 6) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* 1/240 (pow re 2)) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* -1/10080 (pow re 2)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* -1/10080 (pow re 4)) |
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(sin re) |
(sin re) |
(sin re) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* -1/12 (pow re 3)) |
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2)))))) |
(* -1/12 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/240 (pow re 5)) |
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240))) |
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4)))))) |
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4)))))) |
(* 1/240 (pow re 4)) |
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* -1/10080 (pow re 7)) |
(* -1 (* (pow re 7) (- 1/10080 (* 1/240 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (* 1/240 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6))))))) |
(* -1/10080 (pow re 6)) |
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* (pow re 6) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* 1/240 (pow re 2)) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2))))) |
(* -1/10080 (pow re 2)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* -1/10080 (pow re 4)) |
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(sin re) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
1 |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(sin re) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(sin re) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
(sin re) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
(sin re) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
re |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
#s(literal 1/2 binary64) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
#s(literal 1/2 binary64) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
#s(literal 1/2 binary64) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
#s(literal -1/12 binary64) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
#s(literal 1/240 binary64) |
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) |
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) |
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) |
#s(literal -1/12 binary64) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(sin.f64 re) |
(sin.f64 re) |
(sin.f64 re) |
(sin.f64 re) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (*.f64 re re) #s(literal -1/12 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/240 binary64)) |
(*.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re))) (pow.f64 re #s(literal 5 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 re re)) (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))))) (pow.f64 re #s(literal 5 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 re re)) (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))))) (pow.f64 re #s(literal 5 binary64))) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/240 binary64)) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 re re)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 re re)) (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))))) (pow.f64 re #s(literal 4 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 re re)) (-.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))))) (pow.f64 re #s(literal 4 binary64))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 re #s(literal 7 binary64)) #s(literal -1/10080 binary64)) |
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(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 295 |
| 0 | 65 | 289 |
| 1 | 221 | 277 |
| 2 | 1430 | 277 |
| 0 | 8324 | 277 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 re) (cosh.f64 im)) |
(sin.f64 re) |
(cosh.f64 im) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) |
(*.f64 #s(literal 1/2 binary64) re) |
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) |
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Compiled 28 120 to 2 433 computations (91.3% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 734 | 11 | 745 |
| Fresh | 4 | 2 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 741 | 18 | 759 |
| Status | Accuracy | Program |
|---|---|---|
| 50.4% | (/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) | |
| ✓ | 100.0% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| ✓ | 77.4% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| ✓ | 100.0% | (*.f64 (sin.f64 re) (cosh.f64 im)) |
| ▶ | 92.7% | (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
| 89.3% | (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| ▶ | 51.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| 53.0% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 62.0% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) | |
| ▶ | 51.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| 36.1% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| 37.9% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| ▶ | 51.3% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| 11.0% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| ▶ | 60.7% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) |
| 58.5% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))))) | |
| ✓ | 28.2% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| ✓ | 51.1% | #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) |
Compiled 862 to 642 computations (25.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) re) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re) | |
| cost-diff | 0 | #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 re) | |
| cost-diff | 0 | (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 578 |
| 0 | 93 | 570 |
| 1 | 164 | 570 |
| 2 | 285 | 570 |
| 3 | 594 | 570 |
| 4 | 1173 | 566 |
| 5 | 1696 | 566 |
| 6 | 2070 | 566 |
| 7 | 2480 | 566 |
| 8 | 2806 | 566 |
| 9 | 3138 | 566 |
| 10 | 3911 | 566 |
| 11 | 6112 | 566 |
| 12 | 7356 | 566 |
| 13 | 7806 | 566 |
| 14 | 7903 | 566 |
| 15 | 7924 | 566 |
| 16 | 7925 | 566 |
| 0 | 8021 | 552 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(sin.f64 re) |
re |
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 im im) |
im |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re) |
#s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
re |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) |
#s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) |
(*.f64 #s(literal -1/10080 binary64) (*.f64 re re)) |
#s(literal -1/10080 binary64) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) |
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) |
(*.f64 #s(literal 1/2 binary64) re) |
#s(literal 1/2 binary64) |
re |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))) |
(pow.f64 im #s(literal 4 binary64)) |
im |
#s(literal 4 binary64) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) |
#s(literal 1/360 binary64) |
(*.f64 im im) |
#s(literal 1/12 binary64) |
(fma.f64 im im #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(sin.f64 re) |
re |
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 im im) |
im |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re))) |
#s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re) |
#s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
re |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 #s(approx (* 1/2 (sin re)) (fma.f64 (pow.f64 re #s(literal 5 binary64)) #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 (*.f64 re re) #s(literal -1/10080 binary64))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (sin re)) (fma.f64 (pow.f64 re #s(literal 5 binary64)) #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 (*.f64 re re) #s(literal -1/10080 binary64))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))) |
(fma.f64 (pow.f64 re #s(literal 5 binary64)) #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 (*.f64 re re) #s(literal -1/10080 binary64))) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 (*.f64 re re) #s(literal -1/10080 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 (*.f64 re re) #s(literal -1/10080 binary64))) (*.f64 re re) #s(literal -1/12 binary64)) |
#s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 (*.f64 re re) #s(literal -1/10080 binary64))) |
(*.f64 (*.f64 re re) #s(literal -1/10080 binary64)) |
#s(literal -1/10080 binary64) |
(*.f64 re re) |
re |
#s(literal -1/12 binary64) |
#s(literal 1/2 binary64) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
(fma.f64 im im #s(literal 2 binary64)) |
im |
#s(literal 2 binary64) |
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/12 binary64) im) im (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64) #s(literal 2 binary64)))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))) |
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) |
(*.f64 #s(literal 1/2 binary64) re) |
#s(literal 1/2 binary64) |
re |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/12 binary64) im) im (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/12 binary64) im) im (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64) #s(literal 2 binary64))) |
(pow.f64 im #s(literal 4 binary64)) |
im |
#s(literal 4 binary64) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) |
#s(literal 1/360 binary64) |
(*.f64 im im) |
#s(literal 1/12 binary64) |
(fma.f64 im im #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.02734375 | (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 0.05859375 | (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) | |
| accuracy | 4.606978583862115 | #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))) | |
| accuracy | 29.380804151341387 | #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) | |
| accuracy | 0.34341497677901633 | (*.f64 #s(literal -1/10080 binary64) (*.f64 re re)) | |
| accuracy | 14.349353439821273 | #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 29.628435634199306 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) | |
| accuracy | 33.38543607478261 | #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) | |
| accuracy | 0.03515625 | (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 14.349353439821273 | #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 29.586390249108927 | #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) | |
| accuracy | 0.015625 | (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re) | |
| accuracy | 14.349353439821273 | #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) | |
| accuracy | 29.628435634199306 | #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) | |
| accuracy | 30.13742424081447 | #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) | |
| accuracy | 0.02734375 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) | |
| accuracy | 0.0390625 | (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) | |
| accuracy | 0.05859375 | (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) | |
| accuracy | 4.607446423756187 | #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
| 105.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 931 to 113 computations (87.9% saved)
ival-mult: 27.0ms (34.5% of total)const: 19.0ms (24.3% of total)ival-add: 13.0ms (16.6% of total)ival-sin: 7.0ms (8.9% of total)ival-exp: 4.0ms (5.1% of total)ival-cosh: 4.0ms (5.1% of total)ival-pow: 3.0ms (3.8% of total)ival-sub: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sin.f64 re) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) re) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal -1/10080 binary64) (*.f64 re re)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #<representation binary64>) () ()) |
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| Outputs |
|---|
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#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | im | @ | inf | ((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240) (* -1/10080 (* re re)) (+ (* 1/360 (* im im)) 1/12) (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2))) |
| 5.0ms | re | @ | inf | ((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240) (* -1/10080 (* re re)) (+ (* 1/360 (* im im)) 1/12) (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2))) |
| 3.0ms | re | @ | -inf | ((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240) (* -1/10080 (* re re)) (+ (* 1/360 (* im im)) 1/12) (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2))) |
| 2.0ms | im | @ | -inf | ((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240) (* -1/10080 (* re re)) (+ (* 1/360 (* im im)) 1/12) (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2))) |
| 2.0ms | re | @ | 0 | ((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240) (* -1/10080 (* re re)) (+ (* 1/360 (* im im)) 1/12) (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 228 | 3950 |
| 1 | 748 | 3789 |
| 2 | 2063 | 3739 |
| 3 | 5140 | 3686 |
| 4 | 6893 | 3686 |
| 0 | 8174 | 3479 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* re (+ (exp im) (/ 1 (exp im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im)))))))))) |
re |
(* re (+ 1 (* -1/6 (pow re 2)))) |
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) |
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
1/2 |
(+ 1/2 (* -1/12 (pow re 2))) |
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))) |
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
1/2 |
(+ 1/2 (* -1/12 (pow re 2))) |
(+ 1/2 (* -1/12 (pow re 2))) |
(+ 1/2 (* -1/12 (pow re 2))) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
-1/12 |
(- (* 1/240 (pow re 2)) 1/12) |
(- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12) |
(- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12) |
(* 1/2 (* re (+ (exp im) (exp (neg im))))) |
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) |
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) |
(* 1/2 re) |
(* re (+ 1/2 (* -1/12 (pow re 2)))) |
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) |
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
1/240 |
(+ 1/240 (* -1/10080 (pow re 2))) |
(+ 1/240 (* -1/10080 (pow re 2))) |
(+ 1/240 (* -1/10080 (pow re 2))) |
(* -1/10080 (pow re 2)) |
(* -1/10080 (pow re 2)) |
(* -1/10080 (pow re 2)) |
(* -1/10080 (pow re 2)) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(sin re) |
(sin re) |
(sin re) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* -1/10080 (pow re 7)) |
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* (pow re 7) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* -1/10080 (pow re 6)) |
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* (pow re 6) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* -1/12 (pow re 3)) |
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* -1/12 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* -1/10080 (pow re 7)) |
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* (pow re 7) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* -1/10080 (pow re 4)) |
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* -1/10080 (pow re 2)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* -1/10080 (pow re 2)) |
(* -1/10080 (pow re 2)) |
(* -1/10080 (pow re 2)) |
(* -1/10080 (pow re 2)) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(sin re) |
(sin re) |
(sin re) |
(sin re) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* -1/10080 (pow re 7)) |
(* -1 (* (pow re 7) (- 1/10080 (* 1/240 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (* 1/240 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6))))))) |
(* -1/10080 (pow re 6)) |
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* (pow re 6) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* -1/12 (pow re 3)) |
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2)))))) |
(* -1/12 (pow re 2)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12)) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* -1/10080 (pow re 7)) |
(* -1 (* (pow re 7) (- 1/10080 (* 1/240 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (* 1/240 (/ 1 (pow re 2)))))) |
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6))))))) |
(* -1/10080 (pow re 4)) |
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 (sin re)) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* 1/2 re) |
(* -1/10080 (pow re 2)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080)) |
(* -1/10080 (pow re 2)) |
(* -1/10080 (pow re 2)) |
(* -1/10080 (pow re 2)) |
(* -1/10080 (pow re 2)) |
(sin re) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
1 |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
1 |
(+ 1 (* 1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) |
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) |
(sin re) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
(sin re) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
(sin re) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
(sin re) |
(+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) |
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) |
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
1/24 |
(+ 1/24 (* 1/720 (pow im 2))) |
(+ 1/24 (* 1/720 (pow im 2))) |
(+ 1/24 (* 1/720 (pow im 2))) |
1/2 |
(+ 1/2 (* 1/24 (pow im 2))) |
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))) |
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
1/12 |
(+ 1/12 (* 1/360 (pow im 2))) |
(+ 1/12 (* 1/360 (pow im 2))) |
(+ 1/12 (* 1/360 (pow im 2))) |
2 |
(+ 2 (pow im 2)) |
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) |
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/720 (pow im 6)) |
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(* 1/720 (pow im 2)) |
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* 1/720 (pow im 4)) |
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(+ (exp im) (exp (neg im))) |
(* 1/360 (pow im 2)) |
(* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) |
(* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) |
(* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) |
(* 1/360 (pow im 6)) |
(* (pow im 6) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) |
(* (pow im 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow im 2))) (/ 1 (pow im 4))))) |
(* (pow im 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow im 2))) (+ (/ 1 (pow im 4)) (* 2 (/ 1 (pow im 6))))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/2 (+ (exp im) (/ 1 (exp im)))) |
(* 1/720 (pow im 6)) |
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(* 1/720 (pow im 2)) |
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* 1/720 (pow im 4)) |
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) |
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(+ (exp im) (exp (* -1 im))) |
(* 1/360 (pow im 2)) |
(* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) |
(* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) |
(* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) |
(* 1/360 (pow im 6)) |
(* (pow im 6) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) |
(* (pow im 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow im 2))) (/ 1 (pow im 4))))) |
(* (pow im 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow im 2))) (+ (/ 1 (pow im 4)) (* 2 (/ 1 (pow im 6))))))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
re |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re) |
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
#s(literal 1/2 binary64) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
#s(literal 1/2 binary64) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
#s(literal -1/12 binary64) |
(fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) |
(fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) |
(fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re) |
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 #s(literal 1/2 binary64) re) |
#s(literal 1/240 binary64) |
(fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) |
(*.f64 (*.f64 re re) #s(literal -1/10080 binary64)) |
(*.f64 (*.f64 re re) #s(literal -1/10080 binary64)) |
(*.f64 (*.f64 re re) #s(literal -1/10080 binary64)) |
(*.f64 (*.f64 re re) #s(literal -1/10080 binary64)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(sin.f64 re) |
(sin.f64 re) |
(sin.f64 re) |
(sin.f64 re) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 re #s(literal 7 binary64)) #s(literal -1/10080 binary64)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/10080 binary64)) (pow.f64 re #s(literal 7 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/10080 binary64) (/.f64 #s(literal 1/240 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 7 binary64))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/240 binary64) (*.f64 re re))) (-.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/10080 binary64))) (pow.f64 re #s(literal 7 binary64))) |
(*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/10080 binary64)) |
(*.f64 (pow.f64 re #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/10080 binary64))) |
(*.f64 (pow.f64 re #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/10080 binary64) (/.f64 #s(literal 1/240 binary64) (*.f64 re re))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/240 binary64) (*.f64 re re))) (-.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/10080 binary64))) (pow.f64 re #s(literal 6 binary64))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (*.f64 re re) #s(literal -1/12 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 re #s(literal 7 binary64)) #s(literal -1/10080 binary64)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/10080 binary64)) (pow.f64 re #s(literal 7 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/10080 binary64) (/.f64 #s(literal 1/240 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 7 binary64))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/240 binary64) (*.f64 re re))) (-.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/10080 binary64))) (pow.f64 re #s(literal 7 binary64))) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/10080 binary64)) |
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/10080 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/10080 binary64) (/.f64 #s(literal 1/240 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 4 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/10080 binary64) (/.f64 #s(literal 1/240 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 4 binary64))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 #s(literal 1/2 binary64) re) |
(*.f64 (*.f64 re re) #s(literal -1/10080 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) |
(fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) |
(*.f64 (*.f64 re re) #s(literal -1/10080 binary64)) |
(*.f64 (*.f64 re re) #s(literal -1/10080 binary64)) |
(*.f64 (*.f64 re re) #s(literal -1/10080 binary64)) |
(*.f64 (*.f64 re re) #s(literal -1/10080 binary64)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(sin.f64 re) |
(sin.f64 re) |
(sin.f64 re) |
(sin.f64 re) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 re) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 re #s(literal 7 binary64)) #s(literal -1/10080 binary64)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/10080 binary64)) (pow.f64 re #s(literal 7 binary64))) |
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(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 im im)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/720 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
(*.f64 #s(literal 1/360 binary64) (*.f64 im im)) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) |
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 im im)) #s(literal 1/360 binary64)) (pow.f64 im #s(literal 6 binary64))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/360 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64))) |
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/360 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 472 |
| 0 | 93 | 466 |
| 1 | 342 | 454 |
| 2 | 2368 | 454 |
| 0 | 9490 | 437 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(sin.f64 re) |
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re) |
#s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) |
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) |
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) |
(fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) |
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) |
(*.f64 #s(literal 1/2 binary64) re) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) |
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) |
#s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) |
(*.f64 #s(literal -1/10080 binary64) (*.f64 re re)) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) |
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))) |
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Compiled 35 114 to 2 453 computations (93% saved)
20 alts after pruning (12 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 797 | 8 | 805 |
| Fresh | 4 | 4 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 803 | 20 | 823 |
| Status | Accuracy | Program |
|---|---|---|
| 50.4% | (/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) | |
| ✓ | 100.0% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| ✓ | 77.4% | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| ✓ | 100.0% | (*.f64 (sin.f64 re) (cosh.f64 im)) |
| 92.7% | (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| 92.7% | (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| 89.3% | (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| 53.0% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| ✓ | 51.8% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| 36.1% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| 37.9% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| ✓ | 51.3% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| 12.7% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) | |
| 11.0% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) | |
| ✓ | 60.7% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) |
| 60.7% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) | |
| 36.1% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(approx (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64))))) | |
| ✓ | 28.2% | (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| 62.0% | (*.f64 #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) | |
| ✓ | 51.1% | #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) |
Compiled 1 458 to 603 computations (58.6% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(approx (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 (sin.f64 re) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
6 calls:
| 12.0ms | re |
| 11.0ms | (sin.f64 re) |
| 11.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 11.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 10.0ms | im |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | re |
| 100.0% | 1 | im |
| 100.0% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 100.0% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 100.0% | 1 | (sin.f64 re) |
| 100.0% | 1 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
Compiled 27 to 30 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(approx (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 (sin.f64 re) (cosh.f64 im)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) |
| Outputs |
|---|
(*.f64 (sin.f64 re) (cosh.f64 im)) |
6 calls:
| 11.0ms | im |
| 11.0ms | (sin.f64 re) |
| 10.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 10.0ms | re |
| 9.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | re |
| 100.0% | 1 | im |
| 100.0% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 100.0% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 100.0% | 1 | (sin.f64 re) |
| 100.0% | 1 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
Compiled 27 to 30 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(approx (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
6 calls:
| 10.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 10.0ms | re |
| 9.0ms | (sin.f64 re) |
| 9.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 9.0ms | im |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 1 | re |
| 92.7% | 1 | im |
| 95.0% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 92.7% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 92.7% | 1 | (sin.f64 re) |
| 92.7% | 1 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
Compiled 27 to 30 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(approx (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
2 calls:
| 8.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 7.0ms | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 1 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 92.7% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 19 to 18 computations (5.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(approx (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
6 calls:
| 8.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 8.0ms | re |
| 8.0ms | (sin.f64 re) |
| 8.0ms | im |
| 7.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 2 | re |
| 93.0% | 3 | im |
| 89.3% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 89.3% | 1 | (sin.f64 re) |
| 93.1% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 89.3% | 1 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
Compiled 27 to 30 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(approx (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
1 calls:
| 6.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(approx (+ (* (pow im 4) (+ (* 1/360 (* im im)) 1/12)) (+ (* im im) 2)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64))))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
1 calls:
| 6.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 3 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))) |
6 calls:
| 7.0ms | re |
| 6.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 5.0ms | im |
| 5.0ms | (sin.f64 re) |
| 5.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.6% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 71.6% | 2 | (sin.f64 re) |
| 60.7% | 1 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 63.8% | 2 | im |
| 64.6% | 3 | re |
| 71.7% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 27 to 30 computations (-11.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
3 calls:
| 5.0ms | (sin.f64 re) |
| 5.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 4.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.9% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 63.9% | 2 | (sin.f64 re) |
| 63.9% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 18 to 19 computations (-5.6% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
5 calls:
| 5.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 4.0ms | (sin.f64 re) |
| 4.0ms | re |
| 4.0ms | im |
| 4.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.1% | 2 | re |
| 54.4% | 2 | im |
| 62.3% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 62.8% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 62.8% | 2 | (sin.f64 re) |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
2 calls:
| 15.0ms | (sin.f64 re) |
| 4.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.8% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 62.8% | 2 | (sin.f64 re) |
Compiled 6 to 8 computations (-33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
2 calls:
| 3.0ms | (sin.f64 re) |
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 62.3% | 2 | (sin.f64 re) |
Compiled 6 to 8 computations (-33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
4 calls:
| 6.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 3.0ms | (sin.f64 re) |
| 3.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 2.0ms | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.3% | 1 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 62.2% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 62.2% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 62.2% | 2 | (sin.f64 re) |
Compiled 25 to 26 computations (-4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
3 calls:
| 3.0ms | (sin.f64 re) |
| 3.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.4% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 60.4% | 2 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 60.4% | 2 | (sin.f64 re) |
Compiled 18 to 19 computations (-5.6% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
1 calls:
| 2.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.4% | 2 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
5 calls:
| 6.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 2.0ms | (sin.f64 re) |
| 2.0ms | re |
| 2.0ms | im |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.3% | 1 | re |
| 51.3% | 1 | im |
| 51.3% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 51.3% | 1 | (sin.f64 re) |
| 51.3% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
Compiled 20 to 23 computations (-15% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
6 calls:
| 3.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 1.0ms | (sin.f64 re) |
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 1.0ms | re |
| 1.0ms | im |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.2% | 1 | re |
| 28.2% | 1 | (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 28.2% | 1 | (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) |
| 28.2% | 1 | (sin.f64 re) |
| 28.2% | 1 | (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) |
| 28.2% | 1 | im |
Compiled 27 to 30 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.997329377021761 | +inf |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.997329377021761 | +inf |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.997329377021761 | +inf |
| 0.0ms | -inf | -0.9998384324883464 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.997329377021761 | +inf |
| 0.0ms | -inf | -0.9998384324883464 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.906554476368256e-6 | 0.06651804161860188 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.049629779136753545 | 3.330006266838923e-308 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3988171539112e-6 | 4.906554476368256e-6 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.906554476368256e-6 | 0.06651804161860188 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.906554476368256e-6 | 0.06651804161860188 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.049629779136753545 | 3.330006266838923e-308 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.906554476368256e-6 | 0.06651804161860188 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.049629779136753545 | 4.801676702640574e-305 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 966 |
| 1 | 173 | 966 |
| 2 | 175 | 966 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
(*.f64 (sin.f64 re) (cosh.f64 im)) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64))))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64)))))) |
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (sin.f64 re) #s(literal 4722366482869645/2361183241434822606848 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))) |
(if (<=.f64 (sin.f64 re) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))) |
(if (<=.f64 (sin.f64 re) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) |
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) |
(*.f64 (cosh.f64 im) (sin.f64 re)) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)))) |
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (*.f64 #s(literal -1/10080 binary64) (*.f64 re re))) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im)) (*.f64 im im) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) |
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 #s(literal -1/12 binary64) (*.f64 re re))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))) |
(if (<=.f64 (sin.f64 re) #s(literal 4722366482869645/2361183241434822606848 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)))) |
(if (<=.f64 (sin.f64 re) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))) |
(if (<=.f64 (sin.f64 re) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) |
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 #s(literal -1/12 binary64) (*.f64 re re))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) |
(if (<=.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 #s(literal -1/12 binary64) (*.f64 re re))) re))) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) |
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 472 |
| 0 | 93 | 466 |
| 1 | 342 | 454 |
| 2 | 2368 | 454 |
| 0 | 9490 | 437 |
| 0 | 214 | 3512 |
| 1 | 675 | 3351 |
| 2 | 1904 | 3313 |
| 3 | 4633 | 3268 |
| 4 | 6555 | 3268 |
| 0 | 8093 | 3097 |
| 0 | 39 | 295 |
| 0 | 65 | 289 |
| 1 | 221 | 277 |
| 2 | 1430 | 277 |
| 0 | 8324 | 277 |
| 0 | 228 | 3950 |
| 1 | 748 | 3789 |
| 2 | 2063 | 3739 |
| 3 | 5140 | 3686 |
| 4 | 6893 | 3686 |
| 0 | 8174 | 3479 |
| 0 | 146 | 2388 |
| 1 | 498 | 2233 |
| 2 | 1354 | 2185 |
| 3 | 4239 | 2100 |
| 4 | 5100 | 2100 |
| 5 | 5546 | 2100 |
| 6 | 5843 | 2100 |
| 7 | 6477 | 2100 |
| 8 | 7368 | 2100 |
| 0 | 8171 | 1998 |
| 0 | 29 | 103 |
| 0 | 43 | 100 |
| 1 | 137 | 72 |
| 2 | 629 | 72 |
| 0 | 5732 | 72 |
| 0 | 11 | 28 |
| 0 | 18 | 25 |
| 1 | 59 | 21 |
| 2 | 397 | 19 |
| 0 | 4416 | 19 |
| 0 | 109 | 608 |
| 1 | 356 | 577 |
| 2 | 1166 | 561 |
| 3 | 3924 | 544 |
| 4 | 6363 | 544 |
| 5 | 6973 | 544 |
| 6 | 7272 | 544 |
| 0 | 8029 | 514 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 111 to 1 050 computations (50.3% saved)
(negabs re)
(abs im)
Compiled 2 176 to 494 computations (77.3% saved)
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