
Time bar (total: 10.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 49.9% | 0.1% | 0% | 49.9% | 0% | 4 |
| 0% | 0% | 49.9% | 0.1% | 0% | 49.9% | 0% | 5 |
| 0% | 0% | 49.9% | 0.1% | 0% | 49.9% | 0% | 6 |
| 9.4% | 4.7% | 45.2% | 0.1% | 0% | 49.9% | 0% | 7 |
| 17.2% | 8.6% | 41.3% | 0.1% | 0% | 49.9% | 0% | 8 |
| 27.3% | 13.7% | 36.3% | 0.1% | 0% | 49.9% | 0% | 9 |
| 41% | 20.5% | 29.4% | 0.1% | 0% | 49.9% | 0% | 10 |
| 48.6% | 24.3% | 25.6% | 0.1% | 0% | 49.9% | 0% | 11 |
| 57.1% | 28.5% | 21.4% | 0.1% | 0% | 49.9% | 0% | 12 |
Compiled 30 to 17 computations (43.3% saved)
| 1.2s | 8 256× | 0 | valid |
ival-mult: 232.0ms (25.4% of total)ival-log: 210.0ms (23% of total)ival-hypot: 206.0ms (22.5% of total)ival-atan2: 108.0ms (11.8% of total)ival-add: 73.0ms (8% of total)ival-div: 69.0ms (7.6% of total)ival-true: 7.0ms (0.8% of total)exact: 6.0ms (0.7% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 130 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 0 | 0 | - | 0 | - | (log.f64 base) |
| 0 | 0 | - | 0 | - | (*.f64 re re) |
| 0 | 0 | - | 0 | - | (atan2.f64 im re) |
| 0 | 0 | - | 0 | - | im |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 0 | 0 | - | 0 | - | re |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 0 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (log.f64 base) (log.f64 base)) |
| 0 | 0 | - | 0 | - | (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
| 0 | 0 | - | 0 | - | (*.f64 im im) |
| 0 | 0 | - | 0 | - | base |
| 0 | 0 | - | 0 | - | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) | oflow-rescue | 118 | 0 |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | overflow | 118 | |
| ↳ | (*.f64 re re) | overflow | 78 | |
| ↳ | (*.f64 im im) | overflow | 66 | |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) | uflow-rescue | 12 | 0 |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | underflow | 12 | |
| ↳ | (*.f64 re re) | underflow | 56 | |
| ↳ | (*.f64 im im) | underflow | 60 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 130 | 0 |
| - | 0 | 126 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 130 | 0 | 0 |
| - | 0 | 0 | 126 |
| number | freq |
|---|---|
| 0 | 126 |
| 1 | 130 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 82.0ms | 512× | 0 | valid |
Compiled 389 to 76 computations (80.5% saved)
ival-mult: 15.0ms (29.5% of total)ival-log: 13.0ms (25.6% of total)ival-hypot: 9.0ms (17.7% of total)ival-add: 7.0ms (13.8% of total)ival-atan2: 4.0ms (7.9% of total)ival-div: 3.0ms (5.9% of total)ival-true: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 189 |
| 1 | 144 | 171 |
| 2 | 238 | 171 |
| 3 | 459 | 125 |
| 4 | 851 | 113 |
| 5 | 1590 | 113 |
| 6 | 4794 | 113 |
| 7 | 7463 | 113 |
| 0 | 18 | 26 |
| 0 | 34 | 20 |
| 1 | 43 | 18 |
| 2 | 48 | 18 |
| 3 | 58 | 14 |
| 4 | 67 | 12 |
| 5 | 68 | 12 |
| 6 | 121 | 12 |
| 7 | 325 | 12 |
| 8 | 1198 | 12 |
| 9 | 1934 | 12 |
| 10 | 2395 | 12 |
| 11 | 2701 | 12 |
| 12 | 3169 | 12 |
| 13 | 3904 | 12 |
| 14 | 4909 | 12 |
| 15 | 6035 | 12 |
| 16 | 6376 | 12 |
| 17 | 6583 | 12 |
| 18 | 6778 | 12 |
| 19 | 6985 | 12 |
| 0 | 8478 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| Outputs |
|---|
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(abs im)
(abs re)
(sort re im)
Compiled 28 to 18 computations (35.7% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.4% | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
Compiled 28 to 18 computations (35.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 192 | (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) | |
| cost-diff | 320 | (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) | |
| cost-diff | 6784 | (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) | |
| cost-diff | 13440 | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 113 |
| 0 | 34 | 95 |
| 1 | 43 | 93 |
| 2 | 48 | 93 |
| 3 | 58 | 89 |
| 4 | 67 | 87 |
| 5 | 68 | 87 |
| 6 | 121 | 87 |
| 7 | 325 | 87 |
| 8 | 1198 | 87 |
| 9 | 1934 | 87 |
| 10 | 2395 | 87 |
| 11 | 2701 | 87 |
| 12 | 3169 | 87 |
| 13 | 3904 | 87 |
| 14 | 4909 | 87 |
| 15 | 6035 | 87 |
| 16 | 6376 | 87 |
| 17 | 6583 | 87 |
| 18 | 6778 | 87 |
| 19 | 6985 | 87 |
| 0 | 8478 | 61 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) |
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
(+.f64 (*.f64 re re) (*.f64 im im)) |
(*.f64 re re) |
re |
(*.f64 im im) |
im |
(log.f64 base) |
base |
(*.f64 (atan2.f64 im re) #s(literal 0 binary64)) |
(atan2.f64 im re) |
#s(literal 0 binary64) |
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 (log.f64 base) (log.f64 base)) |
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
| Outputs |
|---|
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
(fma.f64 im im (*.f64 re re)) |
(*.f64 re re) |
re |
(*.f64 im im) |
im |
(log.f64 base) |
base |
#s(literal 0 binary64) |
(atan2.f64 im re) |
#s(literal 0 binary64) |
(*.f64 (log.f64 base) (log.f64 base)) |
(*.f64 (log.f64 base) (log.f64 base)) |
#s(literal 0 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.36556625976844204 | (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) | |
| accuracy | 0.37890625 | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) | |
| accuracy | 0.5201950195368841 | (*.f64 (log.f64 base) (log.f64 base)) | |
| accuracy | 30.206981045200084 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 60.0ms | 256× | 0 | valid |
Compiled 240 to 38 computations (84.2% saved)
ival-hypot: 24.0ms (48.8% of total)ival-log: 11.0ms (22.4% of total)ival-mult: 7.0ms (14.2% of total)ival-add: 3.0ms (6.1% of total)ival-div: 2.0ms (4.1% of total)ival-atan2: 2.0ms (4.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 71.0ms | base | @ | 0 | ((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base))) |
| 53.0ms | base | @ | inf | ((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base))) |
| 44.0ms | base | @ | -inf | ((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base))) |
| 2.0ms | re | @ | 0 | ((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base))) |
| 2.0ms | im | @ | inf | ((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 2912 |
| 1 | 840 | 2860 |
| 2 | 2641 | 2828 |
| 3 | 6330 | 2818 |
| 0 | 8095 | 2516 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log base) 2) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log im) (log base)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
0 |
0 |
0 |
0 |
(* (log base) (log im)) |
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im))) |
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2)))))) |
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6)))))))) |
im |
(+ im (* 1/2 (/ (pow re 2) im))) |
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) |
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im))))) |
(* (log base) (log im)) |
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im))) |
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2)))))) |
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6)))))))) |
(* -1 (/ (log (/ 1 re)) (log base))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
0 |
0 |
0 |
0 |
(* -1 (* (log base) (log (/ 1 re)))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
re |
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) |
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
(* -1 (* (log base) (log (/ 1 re)))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
(* -1 (/ (log (/ -1 re)) (log base))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
0 |
0 |
0 |
0 |
(* -1 (* (log base) (log (/ -1 re)))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
(* -1 re) |
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))) |
(* -1 (* (log base) (log (/ -1 re)))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
(/ (log re) (log base)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
0 |
0 |
0 |
0 |
(* (log base) (log re)) |
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re))) |
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2)))))) |
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6)))))))) |
re |
(+ re (* 1/2 (/ (pow im 2) re))) |
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))) |
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re))))) |
(* (log base) (log re)) |
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re))) |
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2)))))) |
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6)))))))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
0 |
0 |
0 |
0 |
(* -1 (* (log base) (log (/ 1 im)))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
im |
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(* -1 (* (log base) (log (/ 1 im)))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
0 |
0 |
0 |
0 |
(* -1 (* (log base) (log (/ -1 im)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(* -1 im) |
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) |
(* -1 (* (log base) (log (/ -1 im)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
| Outputs |
|---|
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 im re))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 im re))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 im re))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 im re))) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 im re))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 im re))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 im re))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 im re))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) im)) (/.f64 (*.f64 re re) im) (/.f64 (log.f64 im) (log.f64 base))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 base) im)) (/.f64 re im) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 im) (log.f64 base)))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) re) (pow.f64 im #s(literal 6 binary64))) (/.f64 re (log.f64 base)) (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (log.f64 base))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) im)) (/.f64 (*.f64 re re) im) (/.f64 (log.f64 im) (log.f64 base)))) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(*.f64 (log.f64 im) (log.f64 base)) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) re) re) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (/.f64 (log.f64 base) im) (/.f64 #s(literal 1/2 binary64) im))) (*.f64 re re) (*.f64 (log.f64 im) (log.f64 base))) |
(fma.f64 (fma.f64 (/.f64 (log.f64 base) im) (/.f64 #s(literal 1/2 binary64) im) (*.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) re) re) (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 (log.f64 base) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))))) (*.f64 re re))) (*.f64 re re) (*.f64 (log.f64 im) (log.f64 base))) |
im |
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) re) (/.f64 re (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im)) (*.f64 re re) im) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) re) (/.f64 re (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im)) |
(*.f64 (log.f64 im) (log.f64 base)) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) re) re) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (/.f64 (log.f64 base) im) (/.f64 #s(literal 1/2 binary64) im))) (*.f64 re re) (*.f64 (log.f64 im) (log.f64 base))) |
(fma.f64 (fma.f64 (/.f64 (log.f64 base) im) (/.f64 #s(literal 1/2 binary64) im) (*.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) re) re) (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 (log.f64 base) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))))) (*.f64 re re))) (*.f64 re re) (*.f64 (log.f64 im) (log.f64 base))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) re)) (/.f64 (*.f64 im im) re) (/.f64 (log.f64 re) (log.f64 base))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 base) re)) (/.f64 im re) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 re) (log.f64 base)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 base) re)) (/.f64 im re) (fma.f64 (/.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (log.f64 base)) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 re) (log.f64 base))))) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(*.f64 (log.f64 re) (log.f64 base)) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (*.f64 (log.f64 re) (log.f64 base))) |
(fma.f64 (log.f64 re) (log.f64 base) (fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))) (*.f64 (log.f64 re) (log.f64 base))))) |
re |
(fma.f64 (*.f64 (/.f64 (*.f64 im im) re) #s(literal 1/2 binary64)) #s(literal 1 binary64) re) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) re) im) re) im #s(literal 1 binary64))) re) |
(*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) re) im) re) im #s(literal 1 binary64)))) re) |
(*.f64 (log.f64 re) (log.f64 base)) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (*.f64 (log.f64 re) (log.f64 base))) |
(fma.f64 (log.f64 re) (log.f64 base) (fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))) (*.f64 (log.f64 re) (log.f64 base))))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) re)) (/.f64 (*.f64 im im) re) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) re)) (/.f64 (*.f64 im im) re) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 base) re)) (/.f64 im re) (fma.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (log.f64 base))) (/.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base)))))) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base))) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base))))) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base)))))) |
(neg.f64 re) |
(neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 im im) re) #s(literal 1/2 binary64)) #s(literal 1 binary64) re)) |
(*.f64 (neg.f64 re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) re) im) re) im #s(literal 1 binary64)))) |
(*.f64 (neg.f64 re) (fma.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) re) im) re) im #s(literal 1 binary64))))) |
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base))) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base))))) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base)))))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) re)) (/.f64 (*.f64 im im) re) (/.f64 (log.f64 re) (log.f64 base))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 base) re)) (/.f64 im re) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 re) (log.f64 base)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) im) (pow.f64 re #s(literal 6 binary64))) (/.f64 im (log.f64 base)) (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 base))) (*.f64 im im) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) re) re)) (*.f64 im im) (/.f64 (log.f64 re) (log.f64 base))) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(*.f64 (log.f64 re) (log.f64 base)) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (*.f64 (log.f64 re) (log.f64 base))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) im) im) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 (/.f64 (log.f64 base) re) (/.f64 #s(literal 1/2 binary64) re))) (*.f64 im im) (*.f64 (log.f64 re) (log.f64 base))) |
(fma.f64 (fma.f64 (/.f64 (log.f64 base) re) (/.f64 #s(literal 1/2 binary64) re) (*.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) im) im) (/.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 (log.f64 base) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))))) (*.f64 im im))) (*.f64 im im) (*.f64 (log.f64 re) (log.f64 base))) |
re |
(fma.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 im im) re) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) im) (/.f64 im (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) re) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) im) (/.f64 im (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 im im) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) re) |
(*.f64 (log.f64 re) (log.f64 base)) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (*.f64 (log.f64 re) (log.f64 base))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) im) im) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 (/.f64 (log.f64 base) re) (/.f64 #s(literal 1/2 binary64) re))) (*.f64 im im) (*.f64 (log.f64 re) (log.f64 base))) |
(fma.f64 (fma.f64 (/.f64 (log.f64 base) re) (/.f64 #s(literal 1/2 binary64) re) (*.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) im) im) (/.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 (log.f64 base) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))))) (*.f64 im im))) (*.f64 im im) (*.f64 (log.f64 re) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) im)) (/.f64 (*.f64 re re) im) (/.f64 (log.f64 im) (log.f64 base))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 base) im)) (/.f64 re im) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 im) (log.f64 base)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 base) im)) (/.f64 re im) (fma.f64 (/.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (log.f64 base)) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 im) (log.f64 base))))) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(*.f64 (log.f64 im) (log.f64 base)) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base))) |
(fma.f64 (log.f64 im) (log.f64 base) (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (log.f64 im) (log.f64 base))))) |
im |
(fma.f64 (*.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im) |
(fma.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64)))) im (fma.f64 (*.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im)) |
(*.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) im) |
(*.f64 (log.f64 im) (log.f64 base)) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base))) |
(fma.f64 (log.f64 im) (log.f64 base) (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (log.f64 im) (log.f64 base))))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) im)) (/.f64 (*.f64 re re) im) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) im)) (/.f64 (*.f64 re re) im) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 base) im)) (/.f64 re im) (fma.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (log.f64 base))) (/.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))))) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))))) |
(neg.f64 im) |
(neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im)) |
(*.f64 (neg.f64 im) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 im) (fma.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))) |
(fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 75 |
| 0 | 34 | 57 |
| 1 | 99 | 55 |
| 2 | 688 | 55 |
| 3 | 6199 | 55 |
| 0 | 8222 | 35 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (atan2.f64 im re) #s(literal 0 binary64)) |
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) |
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
(*.f64 (log.f64 base) (log.f64 base)) |
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
| Outputs |
|---|
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Compiled 56 455 to 3 336 computations (94.1% saved)
25 alts after pruning (25 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 631 | 25 | 1 656 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 1 632 | 25 | 1 657 |
| Status | Accuracy | Program |
|---|---|---|
| 99.2% | (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) | |
| 99.3% | (/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (log.f64 base)) (log.f64 base)) | |
| 99.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) | |
| 50.3% | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) | |
| 99.1% | (/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) | |
| ▶ | 99.1% | (/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) |
| 97.9% | (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) | |
| 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base))) | |
| 99.2% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (log.f64 base)))) | |
| 99.2% | (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))) | |
| 99.0% | (*.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64))) | |
| 99.1% | (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) | |
| 99.2% | (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))) | |
| 99.2% | (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) | |
| 99.2% | (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re)))) | |
| 99.0% | (*.f64 (/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) | |
| ▶ | 99.0% | (*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
| 99.2% | (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)) | |
| 99.2% | (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re))) | |
| 99.1% | (*.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (log.f64 base)) (log.f64 base)) | |
| ▶ | 99.3% | (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
| 99.2% | (*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) | |
| 51.1% | (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base))) #s(literal -1 binary64))) | |
| ▶ | 99.4% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) |
| ▶ | 98.0% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
Compiled 926 to 692 computations (25.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 base) | |
| cost-diff | 0 | (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) | |
| cost-diff | 6720 | (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) | |
| cost-diff | 19648 | (/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) | |
| cost-diff | 0 | (hypot.f64 im re) | |
| cost-diff | 0 | (log.f64 (hypot.f64 im re)) | |
| cost-diff | 384 | (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) | |
| cost-diff | 19264 | (*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) | |
| cost-diff | 0 | (hypot.f64 im re) | |
| cost-diff | 0 | (log.f64 (hypot.f64 im re)) | |
| cost-diff | 6080 | (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) | |
| cost-diff | 7104 | (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) | |
| cost-diff | 0 | (log.f64 base) | |
| cost-diff | 0 | (log.f64 im) | |
| cost-diff | 0 | (/.f64 (log.f64 im) (log.f64 base)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) | |
| cost-diff | 0 | (hypot.f64 im re) | |
| cost-diff | 0 | (log.f64 (hypot.f64 im re)) | |
| cost-diff | 0 | (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 235 |
| 0 | 63 | 189 |
| 1 | 86 | 185 |
| 2 | 134 | 173 |
| 3 | 254 | 169 |
| 4 | 305 | 169 |
| 5 | 541 | 169 |
| 6 | 1147 | 169 |
| 7 | 2195 | 169 |
| 8 | 2430 | 169 |
| 9 | 2536 | 169 |
| 10 | 2783 | 169 |
| 11 | 3155 | 169 |
| 12 | 3700 | 169 |
| 13 | 4739 | 169 |
| 14 | 5079 | 169 |
| 15 | 5272 | 169 |
| 16 | 5427 | 169 |
| 17 | 5576 | 169 |
| 18 | 5720 | 169 |
| 19 | 6587 | 169 |
| 20 | 7955 | 169 |
| 0 | 8053 | 169 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
(log.f64 base) |
base |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log.f64 im) |
im |
(log.f64 base) |
base |
(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(log.f64 base) |
base |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
(pow.f64 (log.f64 base) #s(literal 4 binary64)) |
(log.f64 base) |
base |
#s(literal 4 binary64) |
(pow.f64 (log.f64 base) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) |
(*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(log.f64 base) |
base |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
(pow.f64 (log.f64 base) #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(pow.f64 (log.f64 base) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
(log.f64 base) |
base |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log.f64 im) |
im |
(log.f64 base) |
base |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
(pow.f64 (log.f64 base) #s(literal -1 binary64)) |
(log.f64 base) |
base |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (log.f64 (hypot.f64 im re))) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
(pow.f64 (log.f64 base) #s(literal 4 binary64)) |
(log.f64 base) |
base |
#s(literal 4 binary64) |
(pow.f64 (log.f64 base) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 (hypot.f64 im re))) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(log.f64 base) |
base |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
(pow.f64 (log.f64 base) #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(pow.f64 (log.f64 base) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.34603500976844204 | (/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) | |
| accuracy | 0.36556625976844204 | (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) | |
| accuracy | 0.5205650879159782 | (pow.f64 (log.f64 base) #s(literal -2 binary64)) | |
| accuracy | 0.888575451663661 | (pow.f64 (log.f64 base) #s(literal -4 binary64)) | |
| accuracy | 0.37728500976844204 | (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) | |
| accuracy | 0.3828125 | (*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) | |
| accuracy | 0.744995312590145 | (pow.f64 (log.f64 base) #s(literal 3 binary64)) | |
| accuracy | 0.9277843263380798 | (pow.f64 (log.f64 base) #s(literal 4 binary64)) | |
| accuracy | 0 | (log.f64 base) | |
| accuracy | 0.3515625 | (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) | |
| accuracy | 0.3717575195368841 | (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) | |
| accuracy | 0.5201950195368841 | (pow.f64 (log.f64 base) #s(literal 2 binary64)) | |
| accuracy | 0 | (log.f64 im) | |
| accuracy | 0 | (log.f64 base) | |
| accuracy | 0.39681625976844204 | (/.f64 (log.f64 im) (log.f64 base)) | |
| accuracy | 0.8637279581334886 | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) | |
| accuracy | 0 | (log.f64 (hypot.f64 im re)) | |
| accuracy | 0 | (log.f64 base) | |
| accuracy | 0 | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) | |
| accuracy | 0.38509750976844204 | (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
| 169.0ms | 256× | 0 | valid |
Compiled 541 to 82 computations (84.8% saved)
ival-div: 13.0ms (20.3% of total)ival-pow: 13.0ms (20.3% of total)ival-mult: 12.0ms (18.8% of total)ival-log: 11.0ms (17.2% of total)ival-hypot: 8.0ms (12.5% of total)ival-add: 2.0ms (3.1% of total)ival-atan2: 2.0ms (3.1% of total)ival-pow2: 2.0ms (3.1% of total)exact: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (hypot.f64 im re) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (log.f64 im) (log.f64 base)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 im) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 base) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (log.f64 base) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (log.f64 base) #s(literal -4 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (log.f64 base) #s(literal -2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 53.0ms | base | @ | 0 | ((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (* (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (pow (log base) 3)) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (pow (log base) -2)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2) (pow (log base) 4) (pow (log base) 3) (pow (log base) -4) (pow (log base) -2)) |
| 48.0ms | base | @ | -inf | ((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (* (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (pow (log base) 3)) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (pow (log base) -2)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2) (pow (log base) 4) (pow (log base) 3) (pow (log base) -4) (pow (log base) -2)) |
| 44.0ms | re | @ | -inf | ((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (* (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (pow (log base) 3)) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (pow (log base) -2)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2) (pow (log base) 4) (pow (log base) 3) (pow (log base) -4) (pow (log base) -2)) |
| 40.0ms | base | @ | inf | ((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (* (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (pow (log base) 3)) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (pow (log base) -2)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2) (pow (log base) 4) (pow (log base) 3) (pow (log base) -4) (pow (log base) -2)) |
| 25.0ms | im | @ | 0 | ((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (* (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (pow (log base) 3)) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (pow (log base) -2)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2) (pow (log base) 4) (pow (log base) 3) (pow (log base) -4) (pow (log base) -2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 549 | 9140 |
| 1 | 1481 | 8844 |
| 2 | 4615 | 8844 |
| 0 | 8231 | 7968 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(log base) |
(log base) |
(log base) |
(log base) |
(/ 1 (log base)) |
(/ 1 (log base)) |
(/ 1 (log base)) |
(/ 1 (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log base) 4)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log base) 4)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log base) 4)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log base) 4)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log base) 3)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log base) 3)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log base) 3)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log base) 3)) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log base) 4) |
(pow (log base) 4) |
(pow (log base) 4) |
(pow (log base) 4) |
(pow (log base) 3) |
(pow (log base) 3) |
(pow (log base) 3) |
(pow (log base) 3) |
(/ 1 (pow (log base) 4)) |
(/ 1 (pow (log base) 4)) |
(/ 1 (pow (log base) 4)) |
(/ 1 (pow (log base) 4)) |
(/ 1 (pow (log base) 2)) |
(/ 1 (pow (log base) 2)) |
(/ 1 (pow (log base) 2)) |
(/ 1 (pow (log base) 2)) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log im) (log (/ 1 base)))) |
(* -1 (/ (log im) (log (/ 1 base)))) |
(* -1 (/ (log im) (log (/ 1 base)))) |
(* -1 (/ (log im) (log (/ 1 base)))) |
(* -1 (log (/ 1 base))) |
(* -1 (log (/ 1 base))) |
(* -1 (log (/ 1 base))) |
(* -1 (log (/ 1 base))) |
(/ -1 (log (/ 1 base))) |
(/ -1 (log (/ 1 base))) |
(/ -1 (log (/ 1 base))) |
(/ -1 (log (/ 1 base))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 4)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 4)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 4)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 4)) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3))) |
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(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 4) |
(pow (log (/ 1 base)) 4) |
(pow (log (/ 1 base)) 4) |
(pow (log (/ 1 base)) 4) |
(* -1 (pow (log (/ 1 base)) 3)) |
(* -1 (pow (log (/ 1 base)) 3)) |
(* -1 (pow (log (/ 1 base)) 3)) |
(* -1 (pow (log (/ 1 base)) 3)) |
(/ 1 (pow (log (/ 1 base)) 4)) |
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(/ 1 (pow (log (/ 1 base)) 2)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
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(/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))) |
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) |
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(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)) |
(/ (log im) (log base)) |
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(log im) |
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(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) |
im |
(+ im (* 1/2 (/ (pow re 2) im))) |
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(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im))))) |
(/ (log im) (log base)) |
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re |
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) |
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
(* -1 (/ (log (/ 1 re)) (log base))) |
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(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
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(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 3))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 3)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3)))))) |
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(* -1 (* (log base) (log (/ 1 re)))) |
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(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
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(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
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(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(* -1 (log (/ -1 re))) |
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -1 re) |
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))) |
(* -1 (/ (log (/ -1 re)) (log base))) |
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(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(* -1 (/ (log (/ -1 re)) (log base))) |
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(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(* -1 (/ (log (/ -1 re)) (log base))) |
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(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(* -1 (/ (log (/ -1 re)) (pow (log base) 4))) |
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 4))))) |
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 4))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 4)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 4)))))) |
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 4))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 4)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (pow (log base) 4)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 4))))))) |
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(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(* -1 (/ (log (/ -1 re)) (pow (log base) 3))) |
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 3))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3))))) |
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 3))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 3)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3)))))) |
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 3))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 3)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (pow (log base) 3)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3))))))) |
(* -1 (* (log base) (log (/ -1 re)))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) |
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(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
(/ (log re) (log base)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(/ (log re) (log base)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(log re) |
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))) |
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2)))))) |
re |
(+ re (* 1/2 (/ (pow im 2) re))) |
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))) |
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re))))) |
(/ (log re) (log base)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(log im) |
(log im) |
(log im) |
(log im) |
(/ (log re) (log base)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(/ (log re) (log base)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(/ (log re) (pow (log base) 4)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 4)))) (/ (log re) (pow (log base) 4))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (pow (log base) 4)))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 4)))))) (/ (log re) (pow (log base) 4))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (pow (log base) 4)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log base) 4)))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 4)))))) (/ (log re) (pow (log base) 4))) |
(/ (log re) (log base)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(/ (log re) (pow (log base) 3)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3)))) (/ (log re) (pow (log base) 3))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (pow (log base) 3)))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 3)))))) (/ (log re) (pow (log base) 3))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (pow (log base) 3)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log base) 3)))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 3)))))) (/ (log re) (pow (log base) 3))) |
(* (log base) (log re)) |
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re))) |
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2)))))) |
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6)))))))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (log (/ 1 im))) |
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
im |
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(* -1 (log (/ 1 im))) |
(* -1 (log (/ 1 im))) |
(* -1 (log (/ 1 im))) |
(* -1 (log (/ 1 im))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ 1 im)) (pow (log base) 4))) |
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 4))))) |
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 4))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 4)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 4)))))) |
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 4))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 4)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (pow (log base) 4)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 4))))))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ 1 im)) (pow (log base) 3))) |
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 3))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3))))) |
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 3))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 3)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3)))))) |
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 3))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 3)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (pow (log base) 3)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3))))))) |
(* -1 (* (log base) (log (/ 1 im)))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (log (/ -1 im))) |
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 im) |
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(+ (log -1) (* -1 (log (/ -1 im)))) |
(+ (log -1) (* -1 (log (/ -1 im)))) |
(+ (log -1) (* -1 (log (/ -1 im)))) |
(+ (log -1) (* -1 (log (/ -1 im)))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ -1 im)) (pow (log base) 4))) |
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 4))))) |
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 4))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 4)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 4)))))) |
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 4))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 4)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (pow (log base) 4)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 4))))))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ -1 im)) (pow (log base) 3))) |
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 3))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3))))) |
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 3))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 3)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3)))))) |
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 3))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 3)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (pow (log base) 3)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3))))))) |
(* -1 (* (log base) (log (/ -1 im)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
| Outputs |
|---|
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log.f64 base) |
(log.f64 base) |
(log.f64 base) |
(log.f64 base) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
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(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
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(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
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(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
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(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
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(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
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(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow.f64 (log.f64 base) #s(literal 4 binary64)) |
(pow.f64 (log.f64 base) #s(literal 4 binary64)) |
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(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
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(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))) |
(fma.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))) |
(fma.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))))) |
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (/.f64 (/.f64 (log.f64 base) im) im) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(fma.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (/.f64 (/.f64 (log.f64 base) im) im) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (/.f64 (/.f64 (log.f64 base) im) im) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 187 |
| 0 | 63 | 141 |
| 1 | 209 | 137 |
| 2 | 1223 | 121 |
| 0 | 8630 | 121 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log.f64 im) |
(log.f64 base) |
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) |
(*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow.f64 (log.f64 base) #s(literal 4 binary64)) |
(pow.f64 (log.f64 base) #s(literal 3 binary64)) |
(pow.f64 (log.f64 base) #s(literal -4 binary64)) |
(pow.f64 (log.f64 base) #s(literal -2 binary64)) |
| Outputs |
|---|
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Compiled 172 380 to 7 442 computations (95.7% saved)
26 alts after pruning (24 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 5 683 | 20 | 5 703 |
| Fresh | 16 | 4 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 5 702 | 26 | 5 728 |
| Status | Accuracy | Program |
|---|---|---|
| 99.2% | (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) | |
| 97.9% | (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) | |
| ▶ | 97.8% | (/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) |
| 99.2% | (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))) | |
| 99.2% | (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) | |
| 97.7% | (*.f64 (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) | |
| 99.2% | (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)) | |
| 50.4% | (*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) | |
| ▶ | 99.2% | (*.f64 (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
| ▶ | 51.4% | (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
| 99.1% | (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base)))) | |
| 51.1% | (*.f64 (log.f64 (hypot.f64 im re)) (exp.f64 (neg.f64 (log.f64 (log.f64 base))))) | |
| ▶ | 97.9% | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
| 50.5% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base))) | |
| ✓ | 99.4% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) |
| 51.4% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))) | |
| 97.9% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))) | |
| 97.9% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))) | |
| 97.8% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) | |
| 97.9% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base))))) | |
| ✓ | 98.0% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
| 51.0% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))) | |
| 97.9% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))) | |
| 97.9% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 im) #s(literal -1 binary64)) #s(literal -1 binary64)))) | |
| ▶ | 97.9% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) |
| 50.9% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))) |
Compiled 1 392 to 981 computations (29.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 im) | |
| cost-diff | 0 | (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) | |
| cost-diff | 384 | (/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) | |
| cost-diff | 0 | (hypot.f64 im re) | |
| cost-diff | 0 | (log.f64 (hypot.f64 im re)) | |
| cost-diff | 6080 | (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 6464 | (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (log.f64 im) | |
| cost-diff | 0 | #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) | |
| cost-diff | 6080 | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) | |
| cost-diff | 7104 | (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) | |
| cost-diff | 0 | (log.f64 im) | |
| cost-diff | 0 | (neg.f64 (log.f64 im)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) | |
| cost-diff | 448 | (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) | |
| cost-diff | 0 | (hypot.f64 im re) | |
| cost-diff | 0 | (log.f64 (hypot.f64 im re)) | |
| cost-diff | 0 | (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 245 |
| 0 | 80 | 234 |
| 1 | 111 | 228 |
| 2 | 172 | 206 |
| 3 | 244 | 200 |
| 4 | 413 | 200 |
| 5 | 1386 | 200 |
| 6 | 3561 | 200 |
| 7 | 5736 | 200 |
| 8 | 6746 | 200 |
| 9 | 7148 | 200 |
| 0 | 8009 | 200 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
(pow.f64 (log.f64 base) #s(literal -5 binary64)) |
(log.f64 base) |
base |
#s(literal -5 binary64) |
(pow.f64 (log.f64 base) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) |
(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) |
(neg.f64 (log.f64 im)) |
(log.f64 im) |
im |
(/.f64 #s(literal -1 binary64) (log.f64 base)) |
#s(literal -1 binary64) |
(log.f64 base) |
base |
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) |
(log.f64 im) |
im |
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(log.f64 base) |
base |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (log.f64 base) #s(literal -1/2 binary64)) |
(log.f64 base) |
base |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
(/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) |
#s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) |
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(log.f64 im) |
im |
(pow.f64 (log.f64 base) #s(literal 3 binary64)) |
(log.f64 base) |
base |
#s(literal 3 binary64) |
(pow.f64 (log.f64 base) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (log.f64 (hypot.f64 re im))) |
(log.f64 (hypot.f64 re im)) |
(hypot.f64 re im) |
im |
re |
(pow.f64 (log.f64 base) #s(literal -5 binary64)) |
(log.f64 base) |
base |
#s(literal -5 binary64) |
(pow.f64 (log.f64 base) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(neg.f64 (log.f64 im)) |
(log.f64 im) |
im |
(/.f64 #s(literal -1 binary64) (log.f64 base)) |
#s(literal -1 binary64) |
(log.f64 base) |
base |
(/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (log.f64 base)) |
#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) |
(log.f64 im) |
im |
(pow.f64 (log.f64 base) #s(literal -1 binary64)) |
(log.f64 base) |
base |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log.f64 (hypot.f64 re im)) |
(hypot.f64 re im) |
im |
re |
(pow.f64 (log.f64 base) #s(literal -1 binary64)) |
(pow.f64 (log.f64 base) #s(literal -1/2 binary64)) |
(log.f64 base) |
base |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
(*.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
#s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) |
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(log.f64 im) |
im |
(pow.f64 (log.f64 base) #s(literal 3 binary64)) |
(log.f64 base) |
base |
#s(literal 3 binary64) |
(pow.f64 (log.f64 base) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.17578125 | (/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) | |
| accuracy | 0.1875 | (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) | |
| accuracy | 0.2965812988422101 | (pow.f64 (log.f64 base) #s(literal -2 binary64)) | |
| accuracy | 0.39431391606351435 | (pow.f64 (log.f64 base) #s(literal 3 binary64)) | |
| accuracy | 0 | (log.f64 base) | |
| accuracy | 0.05859375 | (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) | |
| accuracy | 0.18359375 | (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0.24285126953688405 | (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.033520314773144363 | #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) | |
| accuracy | 0.18359375 | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) | |
| accuracy | 0.19140625 | (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) | |
| accuracy | 0.26400375976844204 | (pow.f64 (log.f64 base) #s(literal 2 binary64)) | |
| accuracy | 0 | (log.f64 base) | |
| accuracy | 0.034441342278341336 | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) | |
| accuracy | 0.18359375 | (/.f64 #s(literal -1 binary64) (log.f64 base)) | |
| accuracy | 0.18359375 | (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) | |
| accuracy | 0.16796875 | (*.f64 (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) | |
| accuracy | 0.174160009768442 | (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) | |
| accuracy | 0.5213815918954708 | (pow.f64 (log.f64 base) #s(literal 4 binary64)) | |
| accuracy | 0.5880242551365265 | (pow.f64 (log.f64 base) #s(literal -5 binary64)) |
| 66.0ms | 133× | 0 | valid |
| 49.0ms | 123× | 0 | invalid |
Compiled 540 to 104 computations (80.7% saved)
ival-pow: 34.0ms (36.5% of total)ival-log: 17.0ms (18.3% of total)ival-mult: 14.0ms (15% of total)ival-hypot: 9.0ms (9.7% of total)ival-div: 8.0ms (8.6% of total)ival-pow2: 5.0ms (5.4% of total)ival-add: 2.0ms (2.1% of total)ival-atan2: 2.0ms (2.1% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (*.f64 (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (hypot.f64 im re) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 (log.f64 im)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 im) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (log.f64 base) #s(literal -5 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (log.f64 base)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 base) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (log.f64 base) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (log.f64 base) #s(literal -2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 46.0ms | base | @ | 0 | ((* (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -5)) (pow (log base) 4)) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -5)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log base) -1/2) 2) (* (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log base) -1/2) 2)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (pow (log base) -2)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/ (log im) (pow (log base) 3)) (pow (log base) -5) (pow (log base) 4) (/ -1 (log base)) (log base) (pow (log base) 2) (pow (log base) -1/2) (pow (log base) 3) (pow (log base) -2)) |
| 37.0ms | base | @ | inf | ((* (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -5)) (pow (log base) 4)) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -5)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log base) -1/2) 2) (* (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log base) -1/2) 2)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (pow (log base) -2)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/ (log im) (pow (log base) 3)) (pow (log base) -5) (pow (log base) 4) (/ -1 (log base)) (log base) (pow (log base) 2) (pow (log base) -1/2) (pow (log base) 3) (pow (log base) -2)) |
| 27.0ms | base | @ | -inf | ((* (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -5)) (pow (log base) 4)) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -5)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log base) -1/2) 2) (* (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log base) -1/2) 2)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (pow (log base) -2)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/ (log im) (pow (log base) 3)) (pow (log base) -5) (pow (log base) 4) (/ -1 (log base)) (log base) (pow (log base) 2) (pow (log base) -1/2) (pow (log base) 3) (pow (log base) -2)) |
| 18.0ms | im | @ | inf | ((* (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -5)) (pow (log base) 4)) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -5)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log base) -1/2) 2) (* (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log base) -1/2) 2)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (pow (log base) -2)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/ (log im) (pow (log base) 3)) (pow (log base) -5) (pow (log base) 4) (/ -1 (log base)) (log base) (pow (log base) 2) (pow (log base) -1/2) (pow (log base) 3) (pow (log base) -2)) |
| 17.0ms | im | @ | -inf | ((* (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -5)) (pow (log base) 4)) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -5)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log base) -1/2) 2) (* (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log base) -1/2) 2)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (pow (log base) -2)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/ (log im) (pow (log base) 3)) (pow (log base) -5) (pow (log base) 4) (/ -1 (log base)) (log base) (pow (log base) 2) (pow (log base) -1/2) (pow (log base) 3) (pow (log base) -2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 487 | 8512 |
| 1 | 1253 | 8222 |
| 2 | 3841 | 8212 |
| 0 | 8272 | 7488 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log base) 5)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log base) 5)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log base) 5)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log base) 5)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ 1 (log base)) |
(/ 1 (log base)) |
(/ 1 (log base)) |
(/ 1 (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ 1 (log base)) |
(/ 1 (log base)) |
(/ 1 (log base)) |
(/ 1 (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log base) 3)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log base) 3)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log base) 3)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log base) 3)) |
(/ (log im) (pow (log base) 3)) |
(/ (log im) (pow (log base) 3)) |
(/ (log im) (pow (log base) 3)) |
(/ (log im) (pow (log base) 3)) |
(/ 1 (pow (log base) 5)) |
(/ 1 (pow (log base) 5)) |
(/ 1 (pow (log base) 5)) |
(/ 1 (pow (log base) 5)) |
(pow (log base) 4) |
(pow (log base) 4) |
(pow (log base) 4) |
(pow (log base) 4) |
(/ -1 (log base)) |
(/ -1 (log base)) |
(/ -1 (log base)) |
(/ -1 (log base)) |
(log base) |
(log base) |
(log base) |
(log base) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log base) 2) |
(sqrt (/ 1 (log base))) |
(sqrt (/ 1 (log base))) |
(sqrt (/ 1 (log base))) |
(sqrt (/ 1 (log base))) |
(pow (log base) 3) |
(pow (log base) 3) |
(pow (log base) 3) |
(pow (log base) 3) |
(/ 1 (pow (log base) 2)) |
(/ 1 (pow (log base) 2)) |
(/ 1 (pow (log base) 2)) |
(/ 1 (pow (log base) 2)) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 5))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 5))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 5))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 5))) |
(* -1 (/ (log im) (log (/ 1 base)))) |
(* -1 (/ (log im) (log (/ 1 base)))) |
(* -1 (/ (log im) (log (/ 1 base)))) |
(* -1 (/ (log im) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(/ -1 (log (/ 1 base))) |
(/ -1 (log (/ 1 base))) |
(/ -1 (log (/ 1 base))) |
(/ -1 (log (/ 1 base))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(/ -1 (log (/ 1 base))) |
(/ -1 (log (/ 1 base))) |
(/ -1 (log (/ 1 base))) |
(/ -1 (log (/ 1 base))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3))) |
(* -1 (/ (log im) (pow (log (/ 1 base)) 3))) |
(* -1 (/ (log im) (pow (log (/ 1 base)) 3))) |
(* -1 (/ (log im) (pow (log (/ 1 base)) 3))) |
(* -1 (/ (log im) (pow (log (/ 1 base)) 3))) |
(/ -1 (pow (log (/ 1 base)) 5)) |
(/ -1 (pow (log (/ 1 base)) 5)) |
(/ -1 (pow (log (/ 1 base)) 5)) |
(/ -1 (pow (log (/ 1 base)) 5)) |
(pow (log (/ 1 base)) 4) |
(pow (log (/ 1 base)) 4) |
(pow (log (/ 1 base)) 4) |
(pow (log (/ 1 base)) 4) |
(/ 1 (log (/ 1 base))) |
(/ 1 (log (/ 1 base))) |
(/ 1 (log (/ 1 base))) |
(/ 1 (log (/ 1 base))) |
(* -1 (log (/ 1 base))) |
(* -1 (log (/ 1 base))) |
(* -1 (log (/ 1 base))) |
(* -1 (log (/ 1 base))) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1)) |
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1)) |
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1)) |
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1)) |
(* -1 (pow (log (/ 1 base)) 3)) |
(* -1 (pow (log (/ 1 base)) 3)) |
(* -1 (pow (log (/ 1 base)) 3)) |
(* -1 (pow (log (/ 1 base)) 3)) |
(/ 1 (pow (log (/ 1 base)) 2)) |
(/ 1 (pow (log (/ 1 base)) 2)) |
(/ 1 (pow (log (/ 1 base)) 2)) |
(/ 1 (pow (log (/ 1 base)) 2)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5)) |
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5)) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4) |
(/ -1 (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ -1 (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ -1 (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ -1 (+ (log -1) (* -1 (log (/ -1 base))))) |
(+ (log -1) (* -1 (log (/ -1 base)))) |
(+ (log -1) (* -1 (log (/ -1 base)))) |
(+ (log -1) (* -1 (log (/ -1 base)))) |
(+ (log -1) (* -1 (log (/ -1 base)))) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))) |
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))) |
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))) |
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)) |
(/ (log im) (log base)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(/ (log im) (pow (log base) 5)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 5)))) (/ (log im) (pow (log base) 5))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (pow (log base) 5)))) (* 1/2 (/ 1 (* (pow im 2) (pow (log base) 5)))))) (/ (log im) (pow (log base) 5))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (pow (log base) 5)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log base) 5)))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log base) 5)))))) (/ (log im) (pow (log base) 5))) |
(log im) |
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) |
im |
(+ im (* 1/2 (/ (pow re 2) im))) |
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) |
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im))))) |
(/ (log im) (log base)) |
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(/ (log im) (log base)) |
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(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(log im) |
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
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(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(/ (log im) (log base)) |
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(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(/ (log im) (pow (log base) 3)) |
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(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
re |
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) |
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
(* -1 (/ (log (/ 1 re)) (log base))) |
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(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(* -1 (/ (log (/ 1 re)) (log base))) |
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(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(* -1 (log (/ 1 re))) |
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(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
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(* -1 (/ (log (/ 1 re)) (log base))) |
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(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
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(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 3))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3))))) |
(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 3))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 3)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3)))))) |
(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 3))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 3)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (pow (log base) 3)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3))))))) |
(* -1 (/ (log (/ -1 re)) (log base))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(* -1 (/ (log (/ -1 re)) (pow (log base) 5))) |
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 5))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 5))))) |
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 5))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 5)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 5)))))) |
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 5))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 5)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (pow (log base) 5)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 5))))))) |
(* -1 (log (/ -1 re))) |
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -1 re) |
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))) |
(* -1 (/ (log (/ -1 re)) (log base))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(* -1 (/ (log (/ -1 re)) (log base))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(* -1 (log (/ -1 re))) |
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -1 (/ (log (/ -1 re)) (log base))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(* -1 (/ (log (/ -1 re)) (log base))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(* -1 (/ (log (/ -1 re)) (pow (log base) 3))) |
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 3))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3))))) |
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 3))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 3)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3)))))) |
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 3))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 3)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (pow (log base) 3)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3))))))) |
(/ (log re) (log base)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(/ (log re) (pow (log base) 5)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 5)))) (/ (log re) (pow (log base) 5))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (pow (log base) 5)))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 5)))))) (/ (log re) (pow (log base) 5))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (pow (log base) 5)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log base) 5)))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 5)))))) (/ (log re) (pow (log base) 5))) |
(log re) |
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))) |
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2)))))) |
re |
(+ re (* 1/2 (/ (pow im 2) re))) |
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))) |
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re))))) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log re) (log base)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(* -1 (log im)) |
(* -1 (log im)) |
(* -1 (log im)) |
(* -1 (log im)) |
(log im) |
(log im) |
(log im) |
(log im) |
(/ (log re) (log base)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(log re) |
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))) |
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2)))))) |
(/ (log re) (log base)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(/ (log re) (log base)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(/ (log re) (pow (log base) 3)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3)))) (/ (log re) (pow (log base) 3))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (pow (log base) 3)))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 3)))))) (/ (log re) (pow (log base) 3))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (pow (log base) 3)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log base) 3)))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 3)))))) (/ (log re) (pow (log base) 3))) |
(/ (log im) (pow (log base) 3)) |
(/ (log im) (pow (log base) 3)) |
(/ (log im) (pow (log base) 3)) |
(/ (log im) (pow (log base) 3)) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ 1 im)) (pow (log base) 5))) |
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 5))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 5))))) |
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 5))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 5)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 5)))))) |
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 5))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 5)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (pow (log base) 5)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 5))))))) |
(* -1 (log (/ 1 im))) |
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
im |
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(log (/ 1 im)) |
(log (/ 1 im)) |
(log (/ 1 im)) |
(log (/ 1 im)) |
(* -1 (log (/ 1 im))) |
(* -1 (log (/ 1 im))) |
(* -1 (log (/ 1 im))) |
(* -1 (log (/ 1 im))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (log (/ 1 im))) |
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ 1 im)) (pow (log base) 3))) |
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 3))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3))))) |
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 3))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 3)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3)))))) |
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 3))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 3)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (pow (log base) 3)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3))))))) |
(* -1 (/ (log (/ 1 im)) (pow (log base) 3))) |
(* -1 (/ (log (/ 1 im)) (pow (log base) 3))) |
(* -1 (/ (log (/ 1 im)) (pow (log base) 3))) |
(* -1 (/ (log (/ 1 im)) (pow (log base) 3))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ -1 im)) (pow (log base) 5))) |
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 5))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 5))))) |
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 5))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 5)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 5)))))) |
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 5))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 5)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (pow (log base) 5)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 5))))))) |
(* -1 (log (/ -1 im))) |
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 im) |
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 im))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 im))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 im))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 im))))) |
(+ (log -1) (* -1 (log (/ -1 im)))) |
(+ (log -1) (* -1 (log (/ -1 im)))) |
(+ (log -1) (* -1 (log (/ -1 im)))) |
(+ (log -1) (* -1 (log (/ -1 im)))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (log (/ -1 im))) |
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ -1 im)) (pow (log base) 3))) |
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 3))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3))))) |
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 3))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 3)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3)))))) |
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 3))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 3)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (pow (log base) 3)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3))))))) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 3)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 3)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 3)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 3)) |
| Outputs |
|---|
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 5 binary64))) |
(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 5 binary64))) |
(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 5 binary64))) |
(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 5 binary64))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 5 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 5 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 5 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 5 binary64))) |
(pow.f64 (log.f64 base) #s(literal 4 binary64)) |
(pow.f64 (log.f64 base) #s(literal 4 binary64)) |
(pow.f64 (log.f64 base) #s(literal 4 binary64)) |
(pow.f64 (log.f64 base) #s(literal 4 binary64)) |
(/.f64 #s(literal -1 binary64) (log.f64 base)) |
(/.f64 #s(literal -1 binary64) (log.f64 base)) |
(/.f64 #s(literal -1 binary64) (log.f64 base)) |
(/.f64 #s(literal -1 binary64) (log.f64 base)) |
(log.f64 base) |
(log.f64 base) |
(log.f64 base) |
(log.f64 base) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) |
(pow.f64 (log.f64 base) #s(literal 3 binary64)) |
(pow.f64 (log.f64 base) #s(literal 3 binary64)) |
(pow.f64 (log.f64 base) #s(literal 3 binary64)) |
(pow.f64 (log.f64 base) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)))) |
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)))) |
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)))) |
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64))) |
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64)) |
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64)) |
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64)) |
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64)) |
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(/.f64 #s(literal -1 binary64) (log.f64 base)) |
(log.f64 base) |
(log.f64 base) |
(log.f64 base) |
(log.f64 base) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
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(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
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(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))) |
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(/.f64 (log.f64 im) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))) |
(/.f64 (log.f64 im) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))) |
(/.f64 (log.f64 im) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 5 binary64))) |
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(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64)) |
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(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))) |
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(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))) |
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(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64)) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64)) |
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(/.f64 (log.f64 im) (log.f64 base)) |
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(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 5 binary64))))) |
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(log.f64 im) |
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im |
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im) |
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(/.f64 (log.f64 im) (log.f64 base)) |
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(/.f64 (log.f64 im) (log.f64 base)) |
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(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 im) (log.f64 base)))) |
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(log.f64 im) |
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(fma.f64 (fma.f64 (*.f64 re (/.f64 re (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im)) |
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(/.f64 (log.f64 im) (log.f64 base)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 im) (log.f64 base))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 im) (log.f64 base)))) |
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(/.f64 (log.f64 im) (log.f64 base)) |
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(/.f64 (log.f64 re) (log.f64 base)) |
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(log.f64 re) |
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re |
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(/.f64 (log.f64 im) (log.f64 base)) |
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(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 re) (log.f64 base)) |
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(neg.f64 (log.f64 im)) |
(neg.f64 (log.f64 im)) |
(neg.f64 (log.f64 im)) |
(neg.f64 (log.f64 im)) |
(log.f64 im) |
(log.f64 im) |
(log.f64 im) |
(log.f64 im) |
(/.f64 (log.f64 re) (log.f64 base)) |
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(log.f64 re) |
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(/.f64 (log.f64 re) (log.f64 base)) |
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(/.f64 (log.f64 re) (log.f64 base)) |
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(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 im re) (/.f64 im re)) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 re) (log.f64 base)))) |
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(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 im) (log.f64 base)) |
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(log.f64 im) |
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im |
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(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
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(neg.f64 (log.f64 im)) |
(neg.f64 (log.f64 im)) |
(neg.f64 (log.f64 im)) |
(neg.f64 (log.f64 im)) |
(log.f64 im) |
(log.f64 im) |
(log.f64 im) |
(log.f64 im) |
(/.f64 (log.f64 im) (log.f64 base)) |
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(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 im) (log.f64 base)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 im) (log.f64 base))))) |
(log.f64 im) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (log.f64 im)) |
(fma.f64 (fma.f64 (*.f64 re (/.f64 re (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im)) |
(fma.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/720 binary64) (fma.f64 (fma.f64 (*.f64 re (/.f64 re (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 im) (log.f64 base))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 im) (log.f64 base)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 im) (log.f64 base))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 im) (log.f64 base))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 im) (log.f64 base)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 im) (log.f64 base))))) |
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))) |
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))) |
(fma.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64))))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64))))))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) |
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))) |
(fma.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/720 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))) |
(neg.f64 im) |
(*.f64 (neg.f64 im) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) #s(literal 1 binary64))) |
(*.f64 (neg.f64 im) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 im) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base)) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))) |
(fma.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))) |
(fma.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) |
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))) |
(fma.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/720 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))) |
(fma.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))) |
(fma.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 206 |
| 0 | 80 | 198 |
| 1 | 245 | 184 |
| 2 | 1317 | 154 |
| 0 | 8679 | 154 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) |
(neg.f64 (log.f64 im)) |
(log.f64 im) |
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) |
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) |
#s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) |
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(pow.f64 (log.f64 base) #s(literal -5 binary64)) |
(pow.f64 (log.f64 base) #s(literal 4 binary64)) |
(/.f64 #s(literal -1 binary64) (log.f64 base)) |
(log.f64 base) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow.f64 (log.f64 base) #s(literal -1/2 binary64)) |
(pow.f64 (log.f64 base) #s(literal 3 binary64)) |
(pow.f64 (log.f64 base) #s(literal -2 binary64)) |
| Outputs |
|---|
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Compiled 135 879 to 7 254 computations (94.7% saved)
31 alts after pruning (28 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 438 | 21 | 4 459 |
| Fresh | 12 | 7 | 19 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 4 454 | 31 | 4 485 |
| Status | Accuracy | Program |
|---|---|---|
| 97.9% | (/.f64 (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) | |
| 97.9% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))) | |
| ▶ | 99.3% | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
| 97.8% | (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 im)))) | |
| 97.7% | (*.f64 (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) | |
| 97.8% | (*.f64 (*.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 im))) (log.f64 base)) (log.f64 base)) | |
| 97.9% | (*.f64 (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base)) | |
| 97.9% | (*.f64 (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) | |
| 51.2% | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64))) | |
| 51.4% | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| ▶ | 52.3% | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 97.9% | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
| 97.9% | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (/.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base))))) | |
| 97.8% | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) | |
| ▶ | 97.9% | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
| 97.8% | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) | |
| 51.0% | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (exp.f64 (neg.f64 (log.f64 (log.f64 base))))) | |
| 50.5% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base))) | |
| ✓ | 99.4% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) |
| 51.4% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))) | |
| 97.9% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))) | |
| 97.9% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base))))) | |
| ✓ | 98.0% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
| 51.0% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))) | |
| 97.9% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 im) #s(literal -1 binary64)) #s(literal -1 binary64)))) | |
| 51.4% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (neg.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))))) | |
| 97.8% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (log.f64 base)))) | |
| 97.9% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal -5 binary64)))) | |
| ▶ | 51.4% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))) |
| 46.3% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal -1/2 binary64))))) | |
| ▶ | 46.0% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))))) |
Compiled 1 736 to 1 220 computations (29.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 im) | |
| cost-diff | 0 | (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))) | |
| cost-diff | 0 | (neg.f64 (log.f64 im)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))))) | |
| cost-diff | 448 | (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64)))) | |
| cost-diff | 12800 | (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (log.f64 im) | |
| cost-diff | 0 | #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) | |
| cost-diff | 0 | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64))) | |
| cost-diff | 5824 | (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (log.f64 base)) | |
| cost-diff | 0 | (log.f64 im) | |
| cost-diff | 0 | #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) | |
| cost-diff | 320 | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))) | |
| cost-diff | 0 | (log.f64 (hypot.f64 re im)) | |
| cost-diff | 0 | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) | |
| cost-diff | 576 | (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) | |
| cost-diff | 832 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 272 |
| 0 | 74 | 228 |
| 1 | 106 | 220 |
| 2 | 144 | 217 |
| 3 | 217 | 199 |
| 4 | 386 | 199 |
| 5 | 1217 | 199 |
| 6 | 3119 | 199 |
| 7 | 5139 | 199 |
| 8 | 6420 | 199 |
| 9 | 7390 | 199 |
| 0 | 8032 | 199 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log.f64 (hypot.f64 re im)) |
(hypot.f64 re im) |
re |
im |
(log.f64 base) |
base |
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) |
(log.f64 im) |
im |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
#s(literal 1 binary64) |
(log.f64 base) |
base |
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) |
(log.f64 im) |
im |
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (log.f64 base) #s(literal -2 binary64)) |
(log.f64 base) |
base |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64)))) |
(neg.f64 (log.f64 im)) |
(log.f64 im) |
im |
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64)) |
(log.f64 (neg.f64 (log.f64 base))) |
(neg.f64 (log.f64 base)) |
(log.f64 base) |
base |
#s(literal -1 binary64) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))) |
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64))) |
(*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) |
(log.f64 im) |
im |
(pow.f64 (log.f64 base) #s(literal -1/4 binary64)) |
(log.f64 base) |
base |
#s(literal -1/4 binary64) |
(pow.f64 (log.f64 base) #s(literal -3/4 binary64)) |
#s(literal -3/4 binary64) |
| Outputs |
|---|
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
#s(literal -1 binary64) |
(/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
re |
im |
(log.f64 base) |
base |
(/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (log.f64 base)) |
#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) |
(log.f64 im) |
im |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
#s(literal 1 binary64) |
(log.f64 base) |
base |
(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) |
#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) |
(log.f64 im) |
im |
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) |
(pow.f64 (log.f64 base) #s(literal -2 binary64)) |
(log.f64 base) |
base |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(neg.f64 (log.f64 im)) |
(log.f64 im) |
im |
(/.f64 #s(literal -1 binary64) (log.f64 base)) |
(log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) |
(log.f64 (neg.f64 (log.f64 base))) |
(neg.f64 (log.f64 base)) |
(log.f64 base) |
base |
#s(literal -1 binary64) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (log.f64 im)))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (log.f64 im))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (log.f64 im)) |
(log.f64 im) |
im |
(pow.f64 (log.f64 base) #s(literal -1/4 binary64)) |
(log.f64 base) |
base |
#s(literal -1/4 binary64) |
(pow.f64 (log.f64 base) #s(literal -3/4 binary64)) |
#s(literal -3/4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) | |
| accuracy | 0 | (log.f64 im) | |
| accuracy | 0 | (log.f64 base) | |
| accuracy | 0 | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))) | |
| accuracy | 0 | (log.f64 im) | |
| accuracy | 0 | (log.f64 base) | |
| accuracy | 0 | (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))) | |
| accuracy | 0 | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))))) | |
| accuracy | 0 | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (log.f64 im) | |
| accuracy | 0 | (log.f64 base) | |
| accuracy | 0 | #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) | |
| accuracy | 0 | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))) | |
| accuracy | 0 | (log.f64 im) | |
| accuracy | 0 | (log.f64 base) | |
| accuracy | 0 | #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) | |
| accuracy | 0 | (log.f64 (hypot.f64 re im)) | |
| accuracy | 0 | (log.f64 base) |
| 183.0ms | 256× | 0 | invalid |
Compiled 562 to 96 computations (82.9% saved)
ival-mult: 35.0ms (33% of total)ival-pow: 27.0ms (25.5% of total)ival-log: 14.0ms (13.2% of total)ival-hypot: 9.0ms (8.5% of total)ival-div: 8.0ms (7.5% of total)ival-sqrt: 3.0ms (2.8% of total)ival-exp: 2.0ms (1.9% of total)ival-add: 2.0ms (1.9% of total)ival-atan2: 2.0ms (1.9% of total)ival-neg: 2.0ms (1.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 im) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (log.f64 base)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 (log.f64 im)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 base) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (log.f64 base)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (log.f64 base) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (log.f64 base) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (log.f64 base) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 base) (#s(alt #<batchref> (patch (log.f64 base) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf base) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 101.0ms | base | @ | -inf | ((/ -1 (/ -1 (/ (log (sqrt (+ (* re re) (* im im)))) (log base)))) (/ -1 (/ (log (sqrt (+ (* re re) (* im im)))) (log base))) (/ (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (* (log (sqrt (+ (* im im) (* re re)))) (/ 1 (log base))) (log (sqrt (+ (* im im) (* re re)))) (log im) (/ 1 (log base)) (pow (pow (log base) -2) 1/2) (* (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log base) -2) 1/2)) (exp (* (log (neg (log base))) -1)) (* (neg (log im)) (exp (* (log (neg (log base))) -1))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (* (log im) (pow (log base) -1/4)) (pow (log base) -3/4)) (* (log im) (pow (log base) -1/4)) (log base)) |
| 86.0ms | im | @ | inf | ((/ -1 (/ -1 (/ (log (sqrt (+ (* re re) (* im im)))) (log base)))) (/ -1 (/ (log (sqrt (+ (* re re) (* im im)))) (log base))) (/ (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (* (log (sqrt (+ (* im im) (* re re)))) (/ 1 (log base))) (log (sqrt (+ (* im im) (* re re)))) (log im) (/ 1 (log base)) (pow (pow (log base) -2) 1/2) (* (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log base) -2) 1/2)) (exp (* (log (neg (log base))) -1)) (* (neg (log im)) (exp (* (log (neg (log base))) -1))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (* (log im) (pow (log base) -1/4)) (pow (log base) -3/4)) (* (log im) (pow (log base) -1/4)) (log base)) |
| 62.0ms | base | @ | 0 | ((/ -1 (/ -1 (/ (log (sqrt (+ (* re re) (* im im)))) (log base)))) (/ -1 (/ (log (sqrt (+ (* re re) (* im im)))) (log base))) (/ (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (* (log (sqrt (+ (* im im) (* re re)))) (/ 1 (log base))) (log (sqrt (+ (* im im) (* re re)))) (log im) (/ 1 (log base)) (pow (pow (log base) -2) 1/2) (* (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log base) -2) 1/2)) (exp (* (log (neg (log base))) -1)) (* (neg (log im)) (exp (* (log (neg (log base))) -1))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (* (log im) (pow (log base) -1/4)) (pow (log base) -3/4)) (* (log im) (pow (log base) -1/4)) (log base)) |
| 55.0ms | im | @ | -inf | ((/ -1 (/ -1 (/ (log (sqrt (+ (* re re) (* im im)))) (log base)))) (/ -1 (/ (log (sqrt (+ (* re re) (* im im)))) (log base))) (/ (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (* (log (sqrt (+ (* im im) (* re re)))) (/ 1 (log base))) (log (sqrt (+ (* im im) (* re re)))) (log im) (/ 1 (log base)) (pow (pow (log base) -2) 1/2) (* (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log base) -2) 1/2)) (exp (* (log (neg (log base))) -1)) (* (neg (log im)) (exp (* (log (neg (log base))) -1))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (* (log im) (pow (log base) -1/4)) (pow (log base) -3/4)) (* (log im) (pow (log base) -1/4)) (log base)) |
| 48.0ms | base | @ | inf | ((/ -1 (/ -1 (/ (log (sqrt (+ (* re re) (* im im)))) (log base)))) (/ -1 (/ (log (sqrt (+ (* re re) (* im im)))) (log base))) (/ (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (* (log (sqrt (+ (* im im) (* re re)))) (/ 1 (log base))) (log (sqrt (+ (* im im) (* re re)))) (log im) (/ 1 (log base)) (pow (pow (log base) -2) 1/2) (* (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log base) -2) 1/2)) (exp (* (log (neg (log base))) -1)) (* (neg (log im)) (exp (* (log (neg (log base))) -1))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (* (log im) (pow (log base) -1/4)) (pow (log base) -3/4)) (* (log im) (pow (log base) -1/4)) (log base)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 456 | 8294 |
| 1 | 1344 | 8006 |
| 2 | 4981 | 7864 |
| 0 | 8163 | 7186 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(* -1 (/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))) |
(* -1 (/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))) |
(* -1 (/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))) |
(* -1 (/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))) |
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(/ 1 (log base)) |
(/ 1 (log base)) |
(/ 1 (log base)) |
(/ 1 (log base)) |
(/ 1 (log base)) |
(/ 1 (log base)) |
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
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(/ -1 (log base)) |
(/ -1 (log base)) |
(/ -1 (log base)) |
(/ -1 (log base)) |
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(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(* (pow (/ 1 (log base)) 1/4) (log im)) |
(* (pow (/ 1 (log base)) 1/4) (log im)) |
(* (pow (/ 1 (log base)) 1/4) (log im)) |
(* (pow (/ 1 (log base)) 1/4) (log im)) |
(log base) |
(log base) |
(log base) |
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(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
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(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
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(/ (log (/ 1 base)) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(/ (log (/ 1 base)) (log (sqrt (+ (pow im 2) (pow re 2))))) |
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(* -1 (/ (log im) (log (/ 1 base)))) |
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(+ (* -1/4 (/ (* (pow re 4) (log base)) (* (pow im 4) (pow (log (/ 1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log base)) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (+ (* 1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ (log base) (log (/ 1 im)))))) |
(+ (* -1/4 (/ (* (pow re 4) (log base)) (* (pow im 4) (pow (log (/ 1 im)) 2)))) (+ (* -1/8 (/ (* (pow re 6) (log base)) (* (pow im 6) (pow (log (/ 1 im)) 3)))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (* (pow im 6) (pow (log (/ 1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log base)) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (+ (* 1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (+ (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log base)) (pow (log (/ 1 im)) 3))))) (* (pow im 6) (log (/ 1 im))))) (/ (log base) (log (/ 1 im))))))))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (log (/ 1 im))) |
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (log (/ 1 im))) |
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 (log (/ 1 im))) |
(* -1 (log (/ 1 im))) |
(* -1 (log (/ 1 im))) |
(* -1 (log (/ 1 im))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(log (/ 1 im)) |
(log (/ 1 im)) |
(log (/ 1 im)) |
(log (/ 1 im)) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(* -1 (* (pow (/ 1 (log base)) 1/4) (log (/ 1 im)))) |
(* -1 (* (pow (/ 1 (log base)) 1/4) (log (/ 1 im)))) |
(* -1 (* (pow (/ 1 (log base)) 1/4) (log (/ 1 im)))) |
(* -1 (* (pow (/ 1 (log base)) 1/4) (log (/ 1 im)))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(/ (log base) (log (/ -1 im))) |
(+ (* 1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ (log base) (log (/ -1 im)))) |
(+ (* -1/4 (/ (* (pow re 4) (log base)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log base)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ (log base) (log (/ -1 im)))))) |
(+ (* -1/4 (/ (* (pow re 4) (log base)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* -1/8 (/ (* (pow re 6) (log base)) (* (pow im 6) (pow (log (/ -1 im)) 3)))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (* (pow im 6) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log base)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (+ (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 3))))) (* (pow im 6) (log (/ -1 im))))) (/ (log base) (log (/ -1 im))))))))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (log (/ -1 im))) |
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
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(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (log (/ -1 im))) |
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(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
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(* -1 (/ (log (/ -1 im)) (log base))) |
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(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 im))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 im))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 im))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 im))))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(* (pow (/ 1 (log base)) 1/4) (+ (log -1) (* -1 (log (/ -1 im))))) |
(* (pow (/ 1 (log base)) 1/4) (+ (log -1) (* -1 (log (/ -1 im))))) |
(* (pow (/ 1 (log base)) 1/4) (+ (log -1) (* -1 (log (/ -1 im))))) |
(* (pow (/ 1 (log base)) 1/4) (+ (log -1) (* -1 (log (/ -1 im))))) |
| Outputs |
|---|
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
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(log.f64 re) |
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(log.f64 im) |
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(log.f64 im) |
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(log.f64 im) |
(log.f64 im) |
(log.f64 im) |
(log.f64 im) |
(/.f64 (log.f64 im) (log.f64 base)) |
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(/.f64 (log.f64 im) (log.f64 base)) |
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(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))) |
(-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) |
(/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))) |
(fma.f64 (*.f64 (log.f64 base) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (*.f64 (log.f64 base) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (+.f64 (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) #s(literal -1/4 binary64))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (/.f64 (/.f64 (log.f64 base) im) im) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))))))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))) |
(-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) |
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))) |
(-.f64 (fma.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/720 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))) |
(-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) |
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))) |
(-.f64 (fma.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/720 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))) |
(-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base)) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))) |
(-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))) |
(-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/4 binary64))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/4 binary64))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/4 binary64))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/4 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 200 |
| 0 | 74 | 146 |
| 1 | 222 | 141 |
| 2 | 1218 | 124 |
| 0 | 8648 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log.f64 (hypot.f64 re im)) |
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) |
(log.f64 im) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))))) |
(neg.f64 (log.f64 im)) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))) |
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64))) |
(*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) |
(log.f64 base) |
| Outputs |
|---|
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Compiled 46 605 to 2 795 computations (94% saved)
35 alts after pruning (29 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 420 | 8 | 1 428 |
| Fresh | 2 | 21 | 23 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 424 | 35 | 1 459 |
| Status | Accuracy | Program |
|---|---|---|
| 97.9% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))) | |
| 99.1% | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) | |
| 99.2% | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 base)))) | |
| 97.9% | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 base)))) | |
| 50.4% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))) | |
| 99.2% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (log.f64 base))) | |
| 97.8% | (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 im)))) | |
| 97.7% | (*.f64 (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) | |
| 97.8% | (*.f64 (*.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 im))) (log.f64 base)) (log.f64 base)) | |
| 97.9% | (*.f64 (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base)) | |
| 97.9% | (*.f64 (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) | |
| 51.2% | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64))) | |
| 51.4% | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| ✓ | 97.9% | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
| 97.9% | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (/.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base))))) | |
| 97.8% | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) | |
| ✓ | 97.9% | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
| 97.8% | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) | |
| 52.3% | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) | |
| 51.0% | (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (exp.f64 (neg.f64 (log.f64 (log.f64 base))))) | |
| 50.5% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base))) | |
| ✓ | 99.4% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) |
| 51.4% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))) | |
| 97.9% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))) | |
| 97.9% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base))))) | |
| ✓ | 98.0% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
| 51.0% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))) | |
| 51.4% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (neg.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))))) | |
| 97.8% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (log.f64 base)))) | |
| 97.9% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal -5 binary64)))) | |
| ✓ | 51.4% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))) |
| 47.2% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 1/4 binary64)))) | |
| 46.3% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal -1/2 binary64))))) | |
| 47.2% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))) | |
| ✓ | 46.0% | #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))))) |
Compiled 2 802 to 981 computations (65% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 base)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) |
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (log.f64 base))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (neg.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 base)))) |
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (exp.f64 (neg.f64 (log.f64 (log.f64 base))))) |
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 1/4 binary64)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))) |
(*.f64 (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base)) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))) |
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))) |
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (/.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (log.f64 base)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 im) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (log.f64 (hypot.f64 im re)) (exp.f64 (neg.f64 (log.f64 (log.f64 base))))) |
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal -5 binary64)))) |
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 im)))) |
(*.f64 (*.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 im))) (log.f64 base)) (log.f64 base)) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal -1/2 binary64))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))) |
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (log.f64 base)) (log.f64 base)) |
(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (log.f64 base)))) |
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -5 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re)))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) |
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) |
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (log.f64 base)) (log.f64 base)) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base))) #s(literal -1 binary64))) |
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) |
5 calls:
| 35.0ms | re |
| 27.0ms | im |
| 24.0ms | (log.f64 base) |
| 22.0ms | base |
| 20.0ms | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | re |
| 99.4% | 1 | im |
| 99.4% | 1 | base |
| 99.4% | 1 | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| 99.4% | 1 | (log.f64 base) |
Compiled 33 to 31 computations (6.1% saved)
Total -31.1b remaining (-2494.1%)
Threshold costs -31.1b (-2494.1%)
| Inputs |
|---|
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 base)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))) |
| Outputs |
|---|
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
5 calls:
| 6.0ms | base |
| 3.0ms | (log.f64 base) |
| 3.0ms | im |
| 3.0ms | re |
| 3.0ms | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | re |
| 98.0% | 1 | im |
| 98.0% | 1 | base |
| 98.0% | 1 | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| 98.0% | 1 | (log.f64 base) |
Compiled 33 to 31 computations (6.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 66 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
| Outputs |
|---|
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) |
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 2912 |
| 1 | 840 | 2860 |
| 2 | 2641 | 2828 |
| 3 | 6330 | 2818 |
| 0 | 8095 | 2516 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
Compiled 82 to 39 computations (52.4% saved)
(sort re im)
(abs re)
(abs im)
Compiled 412 to 226 computations (45.1% saved)
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