
Time bar (total: 6.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 18.8% | 18.7% | 81.2% | 0.1% | 0% | 0% | 0% | 5 |
| 34.4% | 34.3% | 65.6% | 0.1% | 0% | 0% | 0% | 6 |
| 54.7% | 54.6% | 45.3% | 0.1% | 0% | 0% | 0% | 7 |
| 64.8% | 64.8% | 35.1% | 0.1% | 0% | 0% | 0% | 8 |
| 76.2% | 76.1% | 23.8% | 0.1% | 0% | 0% | 0% | 9 |
| 81.8% | 81.8% | 18.1% | 0.1% | 0% | 0% | 0% | 10 |
| 87.8% | 87.7% | 12.2% | 0.1% | 0% | 0% | 0% | 11 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 14 to 9 computations (35.7% saved)
| 666.0ms | 8 256× | 0 | valid |
ival-log: 187.0ms (45.7% of total)ival-hypot: 159.0ms (38.9% of total)ival-div: 50.0ms (12.2% of total)ival-true: 6.0ms (1.5% of total)exact: 5.0ms (1.2% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 126 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 0 | 0 | - | 0 | - | (log.f64 #s(literal 10 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 re re) |
| 0 | 0 | - | 0 | - | im |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 0 | 0 | - | 0 | - | re |
| 0 | 0 | - | 0 | - | (*.f64 im im) |
| 0 | 0 | - | 0 | - | #s(literal 10 binary64) |
| 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 | 104 | 0 |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | overflow | 104 | |
| ↳ | (*.f64 re re) | overflow | 68 | |
| ↳ | (*.f64 im im) | overflow | 54 | |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) | uflow-rescue | 22 | 0 |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | underflow | 22 | |
| ↳ | (*.f64 re re) | underflow | 62 | |
| ↳ | (*.f64 im im) | underflow | 69 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 126 | 0 |
| - | 0 | 130 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 126 | 0 | 0 |
| - | 0 | 0 | 130 |
| number | freq |
|---|---|
| 0 | 130 |
| 1 | 126 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 50.0ms | 512× | 0 | valid |
Compiled 110 to 34 computations (69.1% saved)
ival-log: 13.0ms (38% of total)ival-hypot: 8.0ms (23.4% of total)ival-mult: 7.0ms (20.5% of total)ival-div: 3.0ms (8.8% of total)ival-add: 2.0ms (5.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 62 |
| 1 | 50 | 62 |
| 2 | 96 | 62 |
| 3 | 173 | 62 |
| 4 | 238 | 62 |
| 5 | 260 | 62 |
| 6 | 271 | 62 |
| 7 | 282 | 62 |
| 8 | 285 | 62 |
| 9 | 286 | 62 |
| 0 | 10 | 12 |
| 0 | 17 | 12 |
| 1 | 18 | 12 |
| 0 | 18 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| Outputs |
|---|
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) |
(abs im)
(abs re)
(sort re im)
Compiled 12 to 10 computations (16.7% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.8% | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
Compiled 12 to 10 computations (16.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 re re) | |
| cost-diff | 0 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) | |
| cost-diff | 0 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) | |
| cost-diff | 128 | (+.f64 (*.f64 re re) (*.f64 im im)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 47 |
| 0 | 17 | 47 |
| 1 | 18 | 47 |
| 0 | 18 | 31 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
(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 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
| Outputs |
|---|
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) |
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
(log.f64 (hypot.f64 im re)) |
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
(hypot.f64 im re) |
(+.f64 (*.f64 re re) (*.f64 im im)) |
(fma.f64 im im (*.f64 re re)) |
(*.f64 re re) |
re |
(*.f64 im im) |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log.f64 #s(literal 10 binary64)) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 re re) (*.f64 im im)) | |
| accuracy | 0.5840225586106522 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) | |
| accuracy | 29.2957857036141 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 25.0ms | 256× | 0 | valid |
Compiled 49 to 12 computations (75.5% saved)
ival-log: 7.0ms (40.6% of total)ival-hypot: 4.0ms (23.2% of total)ival-mult: 3.0ms (17.4% of total)ival-div: 1.0ms (5.8% of total)ival-add: 1.0ms (5.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ()) |
#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(literal 10 binary64)) (patch (log.f64 #s(literal 10 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow im 2) (taylor 0 re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (log im) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (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)))))) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor 0 re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor 0 re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor 0 re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor 0 re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ()) |
#s(alt im (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* 1/2 (/ (pow re 2) im))) (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
#s(alt (+ 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))))) (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (log (/ 1 re)) (log 10))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 re))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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)))))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor inf re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor inf re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor inf re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor inf re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ()) |
#s(alt re (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
#s(alt (* 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))))))) (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ()) |
#s(alt (pow re 2) (taylor -inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (log (/ -1 re)) (log 10))) (taylor -inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) (taylor -inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | re | @ | inf | ((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10)) |
| 3.0ms | im | @ | -inf | ((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10)) |
| 3.0ms | re | @ | 0 | ((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10)) |
| 2.0ms | im | @ | 0 | ((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10)) |
| 2.0ms | im | @ | inf | ((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 1676 |
| 1 | 730 | 1632 |
| 2 | 2203 | 1630 |
| 3 | 5799 | 1618 |
| 0 | 8392 | 1506 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow im 2) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(/ (log im) (log 10)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(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)))))) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 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))))) |
(pow re 2) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* -1 (/ (log (/ 1 re)) (log 10))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* -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)))))) |
(pow re 2) |
(pow re 2) |
(pow re 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))))))) |
(pow re 2) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* -1 (/ (log (/ -1 re)) (log 10))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* -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)))))) |
(pow re 2) |
(pow re 2) |
(pow re 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)))))))) |
(pow re 2) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(/ (log re) (log 10)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(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))))) |
(pow im 2) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* -1 (/ (log (/ 1 im)) (log 10))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(* -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))))))) |
(pow im 2) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* -1 (/ (log (/ -1 im)) (log 10))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(* -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)))))))) |
| Outputs |
|---|
(pow im 2) |
(*.f64 im im) |
(+ (pow im 2) (pow re 2)) |
(fma.f64 re re (*.f64 im im)) |
(+ (pow im 2) (pow re 2)) |
(fma.f64 re re (*.f64 im im)) |
(+ (pow im 2) (pow re 2)) |
(fma.f64 re re (*.f64 im im)) |
(/ (log im) (log 10)) |
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 (*.f64 re re) im) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(fma.f64 (fma.f64 (*.f64 re (/.f64 re (log.f64 #s(literal 10 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) im) im)) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (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 #s(literal 10 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) |
(log im) |
(log.f64 im) |
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (log.f64 im)) |
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (log.f64 im))) |
(+ (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)))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) re) (/.f64 re (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (log.f64 im))) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
im |
(+ im (* 1/2 (/ (pow re 2) im))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im) |
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 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) |
(+ 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))))) |
(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)) |
(pow re 2) |
(*.f64 re re) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* -1 (/ (log (/ 1 re)) (log 10))) |
(/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 (*.f64 im im) re) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (fma.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (log.f64 #s(literal 10 binary64)))) (/.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))))) |
(* -1 (log (/ 1 re))) |
(log.f64 re) |
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re)) |
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 re))) |
(+ (* -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)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (fma.f64 (*.f64 #s(literal 1/720 binary64) (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)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 re)))) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
re |
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 im im) re) #s(literal 1/2 binary64)) #s(literal 1 binary64) re) |
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(*.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 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) #s(literal 1 binary64))) re) |
(* 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))))))) |
(*.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 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) #s(literal 1 binary64)))) re) |
(pow re 2) |
(*.f64 re re) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* -1 (/ (log (/ -1 re)) (log 10))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64)))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) 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 #s(literal 10 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64))))))) |
(* -1 (log (/ -1 re))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re))) |
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(fma.f64 (*.f64 (/.f64 (/.f64 im re) re) im) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))) |
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) im) (/.f64 im (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (*.f64 im im) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))) |
(+ (* -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)))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) im) (/.f64 im (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) im) im (fma.f64 (*.f64 (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re))))) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(* -1 re) |
(neg.f64 re) |
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 im im) re) #s(literal 1/2 binary64)) #s(literal -1 binary64) (neg.f64 re)) |
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) (/.f64 (/.f64 im re) re) #s(literal -1 binary64))) re) |
(* -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)))))))) |
(*.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) im) (/.f64 (/.f64 im re) re) #s(literal -1 binary64)))) re) |
(pow re 2) |
(*.f64 re re) |
(+ (pow im 2) (pow re 2)) |
(fma.f64 re re (*.f64 im im)) |
(+ (pow im 2) (pow re 2)) |
(fma.f64 re re (*.f64 im im)) |
(+ (pow im 2) (pow re 2)) |
(fma.f64 re re (*.f64 im im)) |
(/ (log re) (log 10)) |
(/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 (*.f64 im im) re) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) im) (pow.f64 re #s(literal 6 binary64))) (/.f64 im (log.f64 #s(literal 10 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))))) |
(log re) |
(log.f64 re) |
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re)) |
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 re))) |
(+ (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)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) im) (/.f64 im (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)) (log.f64 re))) |
re |
(+ re (* 1/2 (/ (pow im 2) re))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 im im) re) |
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 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) |
(+ 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))))) |
(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) |
(pow im 2) |
(*.f64 im im) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* -1 (/ (log (/ 1 im)) (log 10))) |
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 (*.f64 re re) im) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(fma.f64 (fma.f64 (*.f64 re (/.f64 re (log.f64 #s(literal 10 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) im) im)) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (fma.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (log.f64 #s(literal 10 binary64)))) (/.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))) |
(* -1 (log (/ 1 im))) |
(log.f64 im) |
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (log.f64 im)) |
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (log.f64 im))) |
(+ (* -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)))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (fma.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 120 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 -1/4 binary64) (log.f64 im)))) |
im |
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(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)) |
(* 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))))))) |
(*.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 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) #s(literal 1 binary64)))) im) |
(pow im 2) |
(*.f64 im im) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(fma.f64 re re (*.f64 im im)) |
(* -1 (/ (log (/ -1 im)) (log 10))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (log.f64 #s(literal 10 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64))))))) |
(* -1 (log (/ -1 im))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(fma.f64 (*.f64 (/.f64 (/.f64 re im) im) re) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) |
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(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 (/.f64 re im) im) re) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))) |
(+ (* -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)))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) re) (/.f64 re (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) re) re (fma.f64 (*.f64 (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/720 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))) |
(* -1 im) |
(neg.f64 im) |
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im)) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(*.f64 (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) re) (/.f64 (/.f64 re im) im) #s(literal -1 binary64))) im) |
(* -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)))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 (/.f64 re im) im) #s(literal -1 binary64)))) im) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 41 |
| 0 | 17 | 41 |
| 1 | 44 | 41 |
| 2 | 251 | 41 |
| 3 | 2046 | 41 |
| 0 | 8387 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 re re) (*.f64 im im)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
(*.f64 re re) |
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
(log.f64 #s(literal 10 binary64)) |
| Outputs |
|---|
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Compiled 10 557 to 1 829 computations (82.7% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 407 | 14 | 421 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 408 | 14 | 422 |
| Status | Accuracy | Program |
|---|---|---|
| 69.9% | (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 70.5% | (pow.f64 (*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1/2 binary64)) | |
| ▶ | 98.6% | (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) |
| 99.0% | (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))) | |
| 51.8% | (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) | |
| ▶ | 99.1% | (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
| 51.9% | (/.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))) (log.f64 #s(literal 10 binary64))) | |
| ▶ | 99.1% | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
| 51.9% | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) | |
| ▶ | 98.3% | (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
| 98.9% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) | |
| 99.0% | (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) | |
| 98.6% | (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| ▶ | 69.5% | (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))) |
Compiled 310 to 278 computations (10.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) | |
| cost-diff | 0 | (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) | |
| cost-diff | 192 | (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)) | |
| cost-diff | 12928 | (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (log.f64 #s(literal 10 binary64)) | |
| cost-diff | 0 | (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 12928 | (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (hypot.f64 im re) | |
| cost-diff | 0 | (log.f64 (hypot.f64 im re)) | |
| cost-diff | 0 | (neg.f64 (log.f64 (hypot.f64 im re))) | |
| cost-diff | 0 | (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) | |
| cost-diff | 0 | (log.f64 #s(literal 10 binary64)) | |
| cost-diff | 0 | (log.f64 im) | |
| cost-diff | 0 | #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) | |
| cost-diff | 0 | (log.f64 #s(literal 10 binary64)) | |
| cost-diff | 0 | (hypot.f64 re im) | |
| cost-diff | 0 | (log.f64 (hypot.f64 re im)) | |
| cost-diff | 0 | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 150 |
| 0 | 48 | 142 |
| 1 | 63 | 141 |
| 2 | 81 | 141 |
| 3 | 100 | 141 |
| 4 | 128 | 141 |
| 5 | 178 | 141 |
| 6 | 263 | 141 |
| 7 | 371 | 141 |
| 8 | 414 | 141 |
| 9 | 432 | 141 |
| 10 | 446 | 141 |
| 11 | 459 | 141 |
| 12 | 468 | 141 |
| 13 | 476 | 141 |
| 14 | 480 | 141 |
| 0 | 480 | 141 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(log.f64 (hypot.f64 re im)) |
(hypot.f64 re im) |
re |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
(neg.f64 (log.f64 (hypot.f64 im re))) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) |
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(literal -1 binary64) |
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)) |
(log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) |
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) |
(log.f64 (hypot.f64 re im)) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 re im) |
(hypot.f64 im re) |
re |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(neg.f64 (log.f64 (hypot.f64 im re))) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) |
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(literal -1 binary64) |
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) |
(*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)) |
(neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))) |
(log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) |
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log.f64 #s(literal 10 binary64)) | |
| accuracy | 0.03515625 | (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) | |
| accuracy | 0.4716987793053261 | (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) | |
| accuracy | 0.7648393430525048 | (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))) | |
| accuracy | 0 | (log.f64 #s(literal 10 binary64)) | |
| accuracy | 0.19140625 | (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) | |
| accuracy | 0.20703125 | (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) | |
| accuracy | 0.70703125 | (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) | |
| accuracy | 0 | (neg.f64 (log.f64 (hypot.f64 im re))) | |
| accuracy | 0 | (log.f64 (hypot.f64 im re)) | |
| accuracy | 0.4043350586106521 | (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) | |
| accuracy | 0.70703125 | (log.f64 #s(literal 1/10 binary64)) | |
| accuracy | 0 | (log.f64 im) | |
| accuracy | 0 | (log.f64 #s(literal 10 binary64)) | |
| accuracy | 0.40284441697312884 | #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) | |
| accuracy | 0.4043350586106521 | (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) | |
| accuracy | 0 | (hypot.f64 re im) | |
| accuracy | 0 | (log.f64 (hypot.f64 re im)) | |
| accuracy | 0 | (log.f64 #s(literal 10 binary64)) | |
| accuracy | 0.4043350586106521 | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
| 45.0ms | 181× | 0 | valid |
| 20.0ms | 75× | 0 | invalid |
Compiled 241 to 24 computations (90% saved)
ival-log: 17.0ms (36.3% of total)ival-hypot: 8.0ms (17.1% of total)ival-div: 7.0ms (14.9% of total)ival-pow: 5.0ms (10.7% of total)const: 4.0ms (8.5% of total)ival-exp: 2.0ms (4.3% of total)ival-mult: 2.0ms (4.3% of total)ival-neg: 1.0ms (2.1% 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 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ()) |
#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(literal 10 binary64)) (patch (log.f64 #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ()) |
#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (log.f64 (hypot.f64 im re))) (patch (neg.f64 (log.f64 (hypot.f64 im re))) #<representation binary64>) () ()) |
#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ()) |
#s(alt (hypot.f64 im re) (patch (hypot.f64 im re) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(literal 1/10 binary64)) (patch (log.f64 #s(literal 1/10 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (log im) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (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)))))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ()) |
#s(alt im (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* 1/2 (/ (pow re 2) im))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ()) |
#s(alt (+ 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))))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ()) |
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | im | @ | 0 | ((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) |
| 33.0ms | im | @ | inf | ((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) |
| 18.0ms | im | @ | -inf | ((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) |
| 9.0ms | re | @ | inf | ((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) |
| 7.0ms | re | @ | 0 | ((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1064 | 12258 |
| 1 | 3243 | 11900 |
| 0 | 8927 | 11346 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (log im) (log 10)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(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 10)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(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)))))) |
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(- (* -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))))) (log im)) |
(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 10)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(/ 1 (log im)) |
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(log (/ (log 10) (log im))) |
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(/ (log 10) (log im)) |
(+ (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 10) (log im))) |
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(+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im))) |
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(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
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(* -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)))))) |
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 10))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* -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)))))) |
(/ (log (/ 1 re)) (log 1/10)) |
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(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))) |
(log (/ 1 re)) |
(- (* -1/2 (/ (pow im 2) (pow re 2))) (* -1 (log (/ 1 re)))) |
(- (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(- (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -1 (log (/ 1 re))) |
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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 10))) |
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(/ -1 (log (/ 1 re))) |
(- (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))) |
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(log (* -1 (/ (log 10) (log (/ 1 re))))) |
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(* -1 re) |
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(/ (log (/ -1 re)) (log 1/10)) |
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(log (/ -1 re)) |
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(- (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
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(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
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(* -1 re) |
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))) |
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(* -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 10))) |
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(/ -1 (log (/ -1 re))) |
(- (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re)))) |
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(- (* -1 (/ (+ (* -1/8 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow (log (/ -1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3))))) (log (/ -1 re)))))) (pow re 6))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 3)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re))))))) |
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(log (* -1 (/ (log 10) (log (/ -1 re))))) |
(+ (log (* -1 (/ (log 10) (log (/ -1 re))))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re)))))) |
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(* -1 (/ (log 10) (log (/ -1 re)))) |
(+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1 (/ (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 3)))) (pow re 4)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1 (/ (+ (* -1/8 (/ (* (pow im 6) (log 10)) (pow (log (/ -1 re)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow (log (/ -1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 3))))) (log (/ -1 re)))))) (pow re 6)))) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ -1 re)) 2)))) (+ (* 1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ -1 re)) 3)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2))))))) |
(/ (log re) (log 10)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(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 10)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(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 im) |
(log im) |
(log im) |
(log im) |
(* -1 (/ (log re) (log 1/10))) |
(+ (* -1 (/ (log re) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10))))) |
(+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10))))))) |
(+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10))))))) |
(* -1 (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 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 10)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(/ 1 (log re)) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log re) 2)))) (/ 1 (log re))) |
(+ (* (pow im 2) (- (* (pow im 2) (+ (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 3)))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log re) 2)))))) (/ 1 (log re))) |
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1 (* (pow im 2) (+ (* 1/8 (/ 1 (* (pow re 6) (pow (log re) 3)))) (+ (* 1/6 (/ 1 (* (pow re 6) (pow (log re) 2)))) (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 3))))) (* (pow re 2) (log re)))))))) (+ (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 3))))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log re) 2)))))) (/ 1 (log re))) |
(/ (log re) (log 10)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(* -1 (log (/ (log 10) (log re)))) |
(+ (* -1 (log (/ (log 10) (log re)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log re))))) |
(+ (* -1 (log (/ (log 10) (log re)))) (* (pow im 2) (+ (* -1/24 (* (pow im 2) (- (* -24 (/ (* (log re) (+ (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 2)))) (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 3)))))) (log 10))) (* 3 (/ 1 (* (pow re 4) (pow (log re) 2))))))) (* 1/2 (/ 1 (* (pow re 2) (log re))))))) |
(+ (* -1 (log (/ (log 10) (log re)))) (* (pow im 2) (+ (* (pow im 2) (+ (* -1/24 (- (* -24 (/ (* (log re) (+ (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 2)))) (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 3)))))) (log 10))) (* 3 (/ 1 (* (pow re 4) (pow (log re) 2)))))) (* -1/720 (* (pow im 2) (- (+ (* -720 (/ (* (log re) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 2)))) (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 3))))) (* (pow re 2) (log re)))) (+ (* 1/8 (/ (log 10) (* (pow re 6) (pow (log re) 3)))) (* 1/6 (/ (log 10) (* (pow re 6) (pow (log re) 2))))))) (log 10))) (* -360 (/ (+ (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 2)))) (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 3))))) (* (pow re 2) (log 10))))) (* 30 (/ 1 (* (pow re 6) (pow (log re) 3))))))))) (* 1/2 (/ 1 (* (pow re 2) (log re))))))) |
(log (/ (log 10) (log re))) |
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(log (* -1 (/ (log 10) (log (/ -1 im))))) |
(+ (log (* -1 (/ (log 10) (log (/ -1 im))))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im)))))) |
(+ (log (* -1 (/ (log 10) (log (/ -1 im))))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))) |
(+ (log (* -1 (/ (log 10) (log (/ -1 im))))) (+ (* 1/720 (/ (+ (* -360 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10))) (+ (* 30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 720 (/ (* (log (/ -1 im)) (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im))))))) (log 10))))) (pow im 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im)))))))) |
(* -1 (/ (log 10) (log (/ -1 im)))) |
(+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))))) |
| Outputs |
|---|
(/ (log im) (log 10)) |
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 #s(literal 10 binary64)) im) im))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 #s(literal 10 binary64)) im) im))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(log im) |
(log.f64 im) |
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (log.f64 im)) |
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 re 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)) |
(+ (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)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im)) |
im |
(+ im (* 1/2 (/ (pow re 2) im))) |
(fma.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64) im) |
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) im)) (*.f64 re re) 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))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) im)) (*.f64 re re) im) |
(/ (log im) (log 10)) |
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 #s(literal 10 binary64)) im) im))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 #s(literal 10 binary64)) im) im))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(log im) |
(log.f64 im) |
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (log.f64 im)) |
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 re 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)) |
(+ (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)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im)) |
(* -1 (/ (log im) (log 1/10))) |
(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) |
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) im) im))) (*.f64 re re) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 4 binary64))))) (*.f64 re re) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) im) im))) (*.f64 re re) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))) |
(* -1 (log im)) |
(neg.f64 (log.f64 im)) |
(- (* -1/2 (/ (pow re 2) (pow im 2))) (log im)) |
(-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 (*.f64 re re) im)) (log.f64 im)) |
(- (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) (log im)) |
(-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 re 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)) |
(- (* (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))))) (log im)) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 re re) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 re re)) (log.f64 im)) |
(log im) |
(log.f64 im) |
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (log.f64 im)) |
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 re 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)) |
(+ (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)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im)) |
im |
(+ im (* 1/2 (/ (pow re 2) im))) |
(fma.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64) im) |
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) im)) (*.f64 re re) 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))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) im)) (*.f64 re re) im) |
(/ (log im) (log 10)) |
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 #s(literal 10 binary64)) im) im))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 #s(literal 10 binary64)) im) im))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(/ 1 (log im)) |
(/.f64 #s(literal 1 binary64) (log.f64 im)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 im))) |
(+ (* (pow re 2) (- (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3)))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))) (*.f64 re re) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) im) im))) (*.f64 re re) (/.f64 #s(literal 1 binary64) (log.f64 im))) |
(+ (* (pow re 2) (- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 1/8 (/ 1 (* (pow im 6) (pow (log im) 3)))) (+ (* 1/6 (/ 1 (* (pow im 6) (pow (log im) 2)))) (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))))))) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 re) re) (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))) (*.f64 (*.f64 (log.f64 im) im) im)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 re re) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) im) im))) (*.f64 re re) (/.f64 #s(literal 1 binary64) (log.f64 im))) |
(/ (log im) (log 10)) |
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 #s(literal 10 binary64)) im) im))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 #s(literal 10 binary64)) im) im))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(* -1 (log (/ (log 10) (log im)))) |
(neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))) |
(+ (* -1 (log (/ (log 10) (log im)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log im))))) |
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(log (* -1 (/ (log 10) (log (/ -1 im))))) |
(log.f64 (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) |
(+ (log (* -1 (/ (log 10) (log (/ -1 im))))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im)))))) |
(fma.f64 (/.f64 (*.f64 re re) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 im im))) #s(literal 1/2 binary64) (log.f64 (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))) |
(+ (log (* -1 (/ (log 10) (log (/ -1 im))))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))) #s(literal 24 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 (*.f64 re re) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 im im))) #s(literal 1/2 binary64) (log.f64 (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))))) |
(+ (log (* -1 (/ (log 10) (log (/ -1 im))))) (+ (* 1/720 (/ (+ (* -360 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10))) (+ (* 30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 720 (/ (* (log (/ -1 im)) (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im))))))) (log 10))))) (pow im 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im)))))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 720 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (log.f64 #s(literal 10 binary64))) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 30 binary64) (*.f64 (*.f64 #s(literal -360 binary64) (*.f64 re re)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64)))))) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))) #s(literal 24 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 (*.f64 re re) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 im im))) #s(literal 1/2 binary64) (log.f64 (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))))) |
(* -1 (/ (log 10) (log (/ -1 im)))) |
(/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))) |
(+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))) |
(fma.f64 (/.f64 (*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (*.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) |
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (*.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))) |
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))))) |
(-.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (*.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 114 |
| 0 | 48 | 105 |
| 1 | 136 | 104 |
| 2 | 642 | 103 |
| 3 | 5365 | 103 |
| 0 | 8214 | 103 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(log.f64 (hypot.f64 re im)) |
(hypot.f64 re im) |
(log.f64 #s(literal 10 binary64)) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
(neg.f64 (log.f64 (hypot.f64 im re))) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) |
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) |
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)) |
(log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) |
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) |
(log.f64 #s(literal 1/10 binary64)) |
| Outputs |
|---|
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Compiled 46 540 to 5 626 computations (87.9% saved)
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 219 | 10 | 2 229 |
| Fresh | 8 | 1 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 229 | 14 | 2 243 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) |
| 97.8% | (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) | |
| 99.0% | (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) | |
| ▶ | 99.1% | (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64))) |
| ▶ | 51.8% | (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
| 51.9% | (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 1/10 binary64))) | |
| ✓ | 99.1% | (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
| ▶ | 98.3% | (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
| ✓ | 99.1% | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
| ✓ | 98.3% | (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
| ▶ | 98.1% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
| 98.2% | (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| 98.6% | (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| 68.8% | (exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))))) |
Compiled 249 to 242 computations (2.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 (hypot.f64 im re)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64))) | |
| cost-diff | 1408 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) | |
| cost-diff | 0 | (fma.f64 im im (*.f64 re re)) | |
| cost-diff | 0 | (log.f64 (fma.f64 im im (*.f64 re re))) | |
| cost-diff | 0 | (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) | |
| cost-diff | 0 | #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) | |
| cost-diff | 0 | (log.f64 #s(literal 10 binary64)) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| cost-diff | 0 | (log.f64 im) | |
| cost-diff | 0 | #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) | |
| cost-diff | 0 | (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) | |
| cost-diff | 0 | (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) | |
| cost-diff | 0 | (log.f64 #s(literal 10 binary64)) | |
| cost-diff | 0 | (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) | |
| cost-diff | 0 | (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) | |
| cost-diff | 6848 | (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 223 |
| 0 | 58 | 187 |
| 1 | 75 | 185 |
| 2 | 100 | 181 |
| 3 | 151 | 181 |
| 4 | 252 | 181 |
| 5 | 469 | 181 |
| 6 | 737 | 181 |
| 7 | 1096 | 181 |
| 8 | 1555 | 181 |
| 9 | 1826 | 181 |
| 10 | 1905 | 181 |
| 11 | 1966 | 181 |
| 12 | 2092 | 181 |
| 13 | 2092 | 181 |
| 0 | 2092 | 181 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(literal -1/4 binary64) |
#s(literal 4 binary64) |
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
#s(literal -1 binary64) |
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
(neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
#s(literal 1 binary64) |
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) |
(log.f64 (fma.f64 im im (*.f64 re re))) |
(fma.f64 im im (*.f64 re re)) |
im |
(*.f64 re re) |
re |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) |
(log.f64 (hypot.f64 im re)) |
(hypot.f64 im re) |
im |
re |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
| Outputs |
|---|
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) |
(pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(literal -1/4 binary64) |
#s(literal 4 binary64) |
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) |
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)) |
(log.f64 (hypot.f64 im re)) |
(log.f64 (hypot.f64 re im)) |
(hypot.f64 im re) |
(hypot.f64 re im) |
im |
re |
#s(literal -1 binary64) |
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
#s(literal 1 binary64) |
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (fma.f64 re re (*.f64 im im)))) |
(*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) |
(log.f64 (fma.f64 im im (*.f64 re re))) |
(log.f64 (fma.f64 re re (*.f64 im im))) |
(fma.f64 im im (*.f64 re re)) |
(fma.f64 re re (*.f64 im im)) |
im |
(*.f64 re re) |
re |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) |
(log.f64 (hypot.f64 re im)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) |
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) |
(log.f64 (hypot.f64 im re)) |
(log.f64 (hypot.f64 re im)) |
(hypot.f64 im re) |
(hypot.f64 re im) |
im |
re |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log.f64 #s(literal 10 binary64)) | |
| accuracy | 0.28125 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) | |
| accuracy | 0.3046875 | (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) | |
| accuracy | 0.5840225586106522 | (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64))) | |
| accuracy | 0 | (*.f64 re re) | |
| accuracy | 0 | (log.f64 #s(literal 10 binary64)) | |
| accuracy | 0.5840225586106522 | (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) | |
| accuracy | 30.50866189745302 | (log.f64 (fma.f64 im im (*.f64 re re))) | |
| accuracy | 0 | (log.f64 #s(literal 10 binary64)) | |
| accuracy | 0.26953125 | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| accuracy | 0.5291350786000174 | #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) | |
| accuracy | 0.6582413086106522 | (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) | |
| accuracy | 0 | (log.f64 im) | |
| accuracy | 0.5291350786000174 | #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) | |
| accuracy | 0.5840225586106522 | (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) | |
| accuracy | 1.0 | (log.f64 #s(literal 1/10 binary64)) | |
| accuracy | 0 | (log.f64 (hypot.f64 im re)) | |
| accuracy | 0 | (log.f64 #s(literal 10 binary64)) | |
| accuracy | 0.2734375 | (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) | |
| accuracy | 0.3046875 | (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) |
| 104.0ms | 256× | 0 | valid |
Compiled 256 to 35 computations (86.3% saved)
ival-pow: 30.0ms (35.6% of total)ival-log: 20.0ms (23.7% of total)ival-div: 12.0ms (14.2% of total)ival-mult: 8.0ms (9.5% of total)ival-hypot: 8.0ms (9.5% of total)const: 4.0ms (4.7% of total)ival-add: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (patch (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (patch (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(literal 10 binary64)) (patch (log.f64 #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ()) |
#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (patch (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 (fma.f64 im im (*.f64 re re))) (patch (log.f64 (fma.f64 im im (*.f64 re re))) #<representation binary64>) () ()) |
#s(alt (fma.f64 im im (*.f64 re re)) (patch (fma.f64 im im (*.f64 re re)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (patch (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ()) |
#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(literal 1/10 binary64)) (patch (log.f64 #s(literal 1/10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (log im) (log 1/10))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log im)) (taylor 0 re) (#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/2 (/ (pow re 2) (pow im 2))) (log im)) (taylor 0 re) (#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) (log im)) (taylor 0 re) (#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (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))))) (log im)) (taylor 0 re) (#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (log im) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (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)))))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (log 10) (log im)) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 10) (log im))) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im))) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im))) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (log (pow im 2)) (log 10))) (taylor 0 re) (#s(alt (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) (taylor 0 re) (#s(alt (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10))))))) (taylor 0 re) (#s(alt (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10))))))) (taylor 0 re) (#s(alt (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (log (pow im 2))) (taylor 0 re) (#s(alt (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (patch (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (patch (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (patch (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log (pow im 2))) (* (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)))))) (taylor 0 re) (#s(alt (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (patch (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (log (pow im 2)) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (*.f64 re re))) (patch (log.f64 (fma.f64 im im (*.f64 re re))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (pow im 2)) (/ (pow re 2) (pow im 2))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (*.f64 re re))) (patch (log.f64 (fma.f64 im im (*.f64 re re))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2))))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (*.f64 re re))) (patch (log.f64 (fma.f64 im im (*.f64 re re))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2))))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (*.f64 re re))) (patch (log.f64 (fma.f64 im im (*.f64 re re))) #<representation binary64>) () ())) ()) |
#s(alt (pow im 2) (taylor 0 re) (#s(alt (fma.f64 im im (*.f64 re re)) (patch (fma.f64 im im (*.f64 re re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (fma.f64 im im (*.f64 re re)) (patch (fma.f64 im im (*.f64 re re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (fma.f64 im im (*.f64 re re)) (patch (fma.f64 im im (*.f64 re re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (fma.f64 im im (*.f64 re re)) (patch (fma.f64 im im (*.f64 re re)) #<representation binary64>) () ())) ()) |
#s(alt (log im) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (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)))))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) (taylor -inf im) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (* -1 (/ (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (+ (* 1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))))) (log (/ -1 im)))))) (pow im 6))) (/ 1 (log (/ -1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2))))))) (taylor -inf im) (#s(alt (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (patch (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ -1 im))) (taylor -inf im) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor -inf im) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) (taylor -inf im) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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)))))) (taylor -inf im) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (log (/ -1 im))) (taylor -inf im) (#s(alt (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3)))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))))) (taylor -inf im) (#s(alt (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 140.0ms | re | @ | 0 | ((/ (pow (pow (log 10) -1/4) 4) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (pow (log 10) -1/4) 4) (pow (log 10) -1/4) (log 10) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (log 1/10) (* re re)) |
| 12.0ms | im | @ | -inf | ((/ (pow (pow (log 10) -1/4) 4) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (pow (log 10) -1/4) 4) (pow (log 10) -1/4) (log 10) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (log 1/10) (* re re)) |
| 10.0ms | im | @ | inf | ((/ (pow (pow (log 10) -1/4) 4) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (pow (log 10) -1/4) 4) (pow (log 10) -1/4) (log 10) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (log 1/10) (* re re)) |
| 9.0ms | im | @ | 0 | ((/ (pow (pow (log 10) -1/4) 4) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (pow (log 10) -1/4) 4) (pow (log 10) -1/4) (log 10) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (log 1/10) (* re re)) |
| 3.0ms | re | @ | inf | ((/ (pow (pow (log 10) -1/4) 4) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (pow (log 10) -1/4) 4) (pow (log 10) -1/4) (log 10) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (log 1/10) (* re re)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 967 | 9912 |
| 1 | 2930 | 9594 |
| 0 | 8567 | 9144 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (log im) (log 10)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(* -1 (/ (log im) (log 1/10))) |
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(* -1 (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))))) (log im)) |
(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)))))) |
(/ (log im) (log 10)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(/ (log 10) (log im)) |
(+ (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 10) (log im))) |
(+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im))) |
(+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im))) |
(* 1/2 (/ (log (pow im 2)) (log 10))) |
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10))))))) |
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10))))))) |
(* 1/2 (log (pow im 2))) |
(+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(+ (* 1/2 (log (pow im 2))) (* (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)))))) |
(log (pow im 2)) |
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2))) |
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2))))) |
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2))))) |
(pow im 2) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(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)))))) |
(/ (log im) (log 10)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(/ -1 (log im)) |
(- (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im))) |
(- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im))) |
(- (* (pow re 2) (+ (* (pow re 2) (- (* (pow re 2) (- (+ (* 1/8 (/ 1 (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ 1 (* (pow im 6) (pow (log im) 2))))) (* -1/2 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))))) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im))) |
(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)))))) |
(/ 1 (log im)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im))) |
(+ (* (pow re 2) (- (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3)))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im))) |
(+ (* (pow re 2) (- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 1/8 (/ 1 (* (pow im 6) (pow (log im) 3)))) (+ (* 1/6 (/ 1 (* (pow im 6) (pow (log im) 2)))) (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))))))) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im))) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(* -1 (/ (log (/ 1 re)) (log 10))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(/ (log (/ 1 re)) (log 1/10)) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))) |
(log (/ 1 re)) |
(- (* -1/2 (/ (pow im 2) (pow re 2))) (* -1 (log (/ 1 re)))) |
(- (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
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(pow re 2) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
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(* -1 (/ (log (/ 1 re)) (log 10))) |
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(/ 1 (log (/ 1 re))) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))) |
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(* -1 (log (/ 1 re))) |
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(+ (* -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))) |
(- (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))) |
(- (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3)))) (pow re 4))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))) |
(- (* -1 (/ (+ (* -1/8 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))))) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(* -1 (/ (log (/ -1 re)) (log 10))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
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(/ (log (/ -1 re)) (log 1/10)) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))) |
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(log (/ -1 re)) |
(- (* -1/2 (/ (pow im 2) (pow re 2))) (* -1 (log (/ -1 re)))) |
(- (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))) |
(- (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (+ (* -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 (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 10))) |
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(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* -1 (/ (log 10) (log (/ -1 re)))) |
(+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1 (/ (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 3)))) (pow re 4)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1 (/ (+ (* -1/8 (/ (* (pow im 6) (log 10)) (pow (log (/ -1 re)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow (log (/ -1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 3))))) (log (/ -1 re)))))) (pow re 6)))) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ -1 re)) 2)))) (+ (* 1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ -1 re)) 3)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2))))))) |
(* -1 (/ (log (/ -1 re)) (log 10))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* -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))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -2 (log (/ -1 re))) |
(+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2))) |
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2)))) |
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2))))) |
(pow re 2) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* -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 10))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(/ 1 (log (/ -1 re))) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re)))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2)))) (pow re 4))) (/ 1 (log (/ -1 re)))) (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2))))) |
(- (+ (* -1 (/ (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow (log (/ -1 re)) 2))) (+ (* 1/8 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2))))) (log (/ -1 re)))))) (pow re 6))) (/ 1 (log (/ -1 re)))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 3)))) (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 2))))))) |
(* -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))) |
(- (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re)))) |
(- (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3)))) (pow re 4))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re))))) |
(- (* -1 (/ (+ (* -1/8 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow (log (/ -1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3))))) (log (/ -1 re)))))) (pow re 6))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 3)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re))))))) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(/ (log re) (log 10)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(* -1 (/ (log re) (log 1/10))) |
(+ (* -1 (/ (log re) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10))))) |
(+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10))))))) |
(+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10))))))) |
(* -1 (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 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 im) |
(log im) |
(log im) |
(log im) |
(/ (log re) (log 10)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(/ (log 10) (log re)) |
(+ (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log re) 2)))) (/ (log 10) (log re))) |
(+ (* (pow im 2) (- (* -1 (* (pow im 2) (+ (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 2)))) (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 3))))))) (* 1/2 (/ (log 10) (* (pow re 2) (pow (log re) 2)))))) (/ (log 10) (log re))) |
(+ (* (pow im 2) (- (* (pow im 2) (- (* -1 (* (pow im 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 2)))) (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 3))))) (* (pow re 2) (log re)))) (+ (* 1/8 (/ (log 10) (* (pow re 6) (pow (log re) 3)))) (* 1/6 (/ (log 10) (* (pow re 6) (pow (log re) 2)))))))) (+ (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 2)))) (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 3))))))) (* 1/2 (/ (log 10) (* (pow re 2) (pow (log re) 2)))))) (/ (log 10) (log re))) |
(* 1/2 (/ (log (pow re 2)) (log 10))) |
(+ (* 1/2 (/ (log (pow re 2)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* 1/2 (/ (log (pow re 2)) (log 10))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10))))))) |
(+ (* 1/2 (/ (log (pow re 2)) (log 10))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10))))))) |
(* 1/2 (log (pow re 2))) |
(+ (* 1/2 (log (pow re 2))) (* 1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* 1/2 (log (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))) |
(+ (* 1/2 (log (pow re 2))) (* (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 (pow re 2)) |
(+ (log (pow re 2)) (/ (pow im 2) (pow re 2))) |
(+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2))))) |
(+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2))))) |
(pow re 2) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(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 10)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
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(/ -1 (log re)) |
(- (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log re) 2)))) (/ 1 (log re))) |
(- (* (pow im 2) (+ (* -1 (* (pow im 2) (+ (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 3))))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log re) 2)))))) (/ 1 (log re))) |
(- (* (pow im 2) (+ (* (pow im 2) (- (* (pow im 2) (- (+ (* 1/8 (/ 1 (* (pow re 6) (pow (log re) 3)))) (* 1/6 (/ 1 (* (pow re 6) (pow (log re) 2))))) (* -1/2 (/ (+ (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 3))))) (* (pow re 2) (log re)))))) (+ (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 3))))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log re) 2)))))) (/ 1 (log re))) |
(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)))))) |
(/ 1 (log re)) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log re) 2)))) (/ 1 (log re))) |
(+ (* (pow im 2) (- (* (pow im 2) (+ (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 3)))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log re) 2)))))) (/ 1 (log re))) |
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(* -1 (/ (log (/ 1 im)) (log 10))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(/ (log (/ 1 im)) (log 1/10)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))))) |
(log (/ 1 im)) |
(- (* -1/2 (/ (pow re 2) (pow im 2))) (* -1 (log (/ 1 im)))) |
(- (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(- (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (+ (* -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))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
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(* -1 (log (/ 1 im))) |
(* -1 (log (/ 1 im))) |
(* -1 (log (/ 1 im))) |
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(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
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(* -1 (/ (log 10) (log (/ 1 im)))) |
(+ (* -1 (/ (log 10) (log (/ 1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ 1 im)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ 1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ 1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ 1 im)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ 1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ 1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ 1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ 1 im)) 3))))) (log (/ 1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ 1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ 1 im)) 2))))))) |
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(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
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(+ (* -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))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -2 (log (/ 1 im))) |
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2))) |
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2)))) |
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2))))) |
(pow im 2) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* -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 10))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(/ 1 (log (/ 1 im))) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im)))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2)))) (pow im 4))) (/ 1 (log (/ 1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2))))) |
(- (+ (* -1 (/ (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ 1 im)) 2))) (+ (* 1/8 (/ (pow re 6) (pow (log (/ 1 im)) 3))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2))))) (log (/ 1 im)))))) (pow im 6))) (/ 1 (log (/ 1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 2))))))) |
(* -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))) |
(- (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im)))) |
(- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3)))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im))))) |
(- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ 1 im)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ 1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3))))) (log (/ 1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im))))))) |
(* -1 (/ (log (/ -1 im)) (log 10))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(/ (log (/ -1 im)) (log 1/10)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))) |
(log (/ -1 im)) |
(- (* -1/2 (/ (pow re 2) (pow im 2))) (* -1 (log (/ -1 im)))) |
(- (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))) |
(- (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (+ (* -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 (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)))))) |
(+ (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 10))) |
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(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(* -1 (/ (log 10) (log (/ -1 im)))) |
(+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))) |
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))))) |
(* -1 (/ (log (/ -1 im)) (log 10))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(* -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))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -2 (log (/ -1 im))) |
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2))) |
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2)))) |
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2))))) |
(pow im 2) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* -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 10))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(/ 1 (log (/ -1 im))) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2)))) (pow im 4))) (/ 1 (log (/ -1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2))))) |
(- (+ (* -1 (/ (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (+ (* 1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))))) (log (/ -1 im)))))) (pow im 6))) (/ 1 (log (/ -1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2))))))) |
(* -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))) |
(- (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))) |
(- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3)))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))) |
(- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))))) |
| Outputs |
|---|
(/ (log im) (log 10)) |
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 #s(literal 10 binary64)) im) im))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) |
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(* -1 (log (/ -1 im))) |
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(/ -1 (log (/ -1 im))) |
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(- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))))) |
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Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 174 |
| 0 | 58 | 149 |
| 1 | 172 | 120 |
| 2 | 817 | 120 |
| 3 | 5668 | 120 |
| 0 | 8185 | 120 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) |
(log.f64 #s(literal 10 binary64)) |
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
(neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) |
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) |
(log.f64 (fma.f64 im im (*.f64 re re))) |
(fma.f64 im im (*.f64 re re)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) |
(log.f64 (hypot.f64 im re)) |
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) |
(log.f64 #s(literal 1/10 binary64)) |
(*.f64 re re) |
| Outputs |
|---|
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Compiled 36 924 to 4 377 computations (88.1% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 740 | 9 | 1 749 |
| Fresh | 4 | 2 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 746 | 17 | 1 763 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.3% | (pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
| 98.6% | (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) | |
| ▶ | 98.2% | (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
| 98.3% | (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))) (log.f64 #s(literal 10 binary64))) | |
| 98.2% | (/.f64 (*.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))) | |
| ✓ | 51.8% | (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
| ▶ | 98.9% | (/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
| ▶ | 51.9% | (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 1/10 binary64))) |
| 98.1% | (/.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| ✓ | 99.1% | (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
| ✓ | 98.3% | (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
| ✓ | 99.1% | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
| ✓ | 98.3% | (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
| ✓ | 98.1% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
| 98.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))) | |
| ▶ | 98.2% | (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
| 68.9% | (exp.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))) |
Compiled 298 to 289 computations (3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) | |
| cost-diff | 0 | (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) | |
| cost-diff | 5824 | (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) | |
| cost-diff | 7104 | (pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) | |
| cost-diff | 0 | (log.f64 #s(literal 1/10 binary64)) | |
| cost-diff | 0 | (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 7040 | (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| cost-diff | 0 | (fma.f64 im im (*.f64 re re)) | |
| cost-diff | 0 | (log.f64 (fma.f64 im im (*.f64 re re))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 1/10 binary64))) | |
| cost-diff | 0 | #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) | |
| cost-diff | 0 | (log.f64 #s(literal 1/10 binary64)) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) | |
| cost-diff | 576 | (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| cost-diff | 0 | (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))) | |
| cost-diff | 0 | #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) | |
| cost-diff | 0 | (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 312 |
| 0 | 60 | 301 |
| 1 | 81 | 295 |
| 2 | 104 | 293 |
| 3 | 131 | 293 |
| 4 | 146 | 293 |
| 5 | 201 | 293 |
| 6 | 240 | 293 |
| 7 | 261 | 293 |
| 8 | 295 | 293 |
| 9 | 330 | 293 |
| 10 | 375 | 293 |
| 11 | 401 | 293 |
| 0 | 401 | 253 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) |
#s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) |
(fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))) |
(/.f64 re im) |
re |
im |
(*.f64 #s(literal 2 binary64) (log.f64 im)) |
#s(literal 2 binary64) |
(log.f64 im) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
#s(literal -1 binary64) |
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 1/10 binary64))) |
(*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) |
#s(literal -1/2 binary64) |
(log.f64 (fma.f64 im im (*.f64 re re))) |
(fma.f64 im im (*.f64 re re)) |
im |
(*.f64 re re) |
re |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 (/.f64 re im) im) re (*.f64 (log.f64 im) #s(literal 2 binary64))))) |
(*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 (/.f64 re im) im) re (*.f64 (log.f64 im) #s(literal 2 binary64))))) |
#s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) |
#s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 (/.f64 re im) im) re (*.f64 (log.f64 im) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))) |
(fma.f64 (/.f64 (/.f64 re im) im) re (*.f64 (log.f64 im) #s(literal 2 binary64))) |
(/.f64 re im) |
re |
im |
(*.f64 #s(literal 2 binary64) (log.f64 im)) |
(*.f64 (log.f64 im) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log.f64 im) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
#s(literal -1 binary64) |
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 1/10 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 re re (*.f64 im im)))) |
(*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) |
(*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(log.f64 (fma.f64 im im (*.f64 re re))) |
(log.f64 (fma.f64 re re (*.f64 im im))) |
(fma.f64 im im (*.f64 re re)) |
(fma.f64 re re (*.f64 im im)) |
im |
(*.f64 re re) |
re |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) |
(log.f64 #s(literal 1/10 binary64)) |
#s(literal 1/10 binary64) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
(pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) |
(sqrt.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(log.f64 im) |
im |
(log.f64 #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0703125 | (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) | |
| accuracy | 0.37728500976844204 | (pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.40284441697312884 | #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) | |
| accuracy | 0.4043350586106521 | (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) | |
| accuracy | 0.20703125 | (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) | |
| accuracy | 0.40284441697312884 | #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) | |
| accuracy | 0.70703125 | (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) | |
| accuracy | 0.70703125 | (log.f64 #s(literal 1/10 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) | |
| accuracy | 0.4043350586106521 | (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 1/10 binary64))) | |
| accuracy | 0.70703125 | (log.f64 #s(literal 1/10 binary64)) | |
| accuracy | 25.18173757217699 | (log.f64 (fma.f64 im im (*.f64 re re))) | |
| accuracy | 0.2109375 | (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| accuracy | 0.40284441697312884 | #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) | |
| accuracy | 0.4716987793053261 | (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) | |
| accuracy | 0.70703125 | (log.f64 #s(literal 1/10 binary64)) | |
| accuracy | 0 | (log.f64 #s(literal 10 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))) | |
| accuracy | 0.09723185418740717 | #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) | |
| accuracy | 0.4043350586106521 | (/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
| 63.0ms | 181× | 0 | valid |
| 25.0ms | 75× | 0 | invalid |
Compiled 256 to 35 computations (86.3% saved)
ival-log: 19.0ms (31.1% of total)ival-div: 12.0ms (19.6% of total)ival-mult: 9.0ms (14.7% of total)ival-pow: 5.0ms (8.2% of total)ival-hypot: 4.0ms (6.5% of total)const: 4.0ms (6.5% of total)ival-add: 2.0ms (3.3% of total)ival-sqrt: 2.0ms (3.3% of total)ival-pow2: 2.0ms (3.3% 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 (/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) (patch #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))) (patch (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(literal 1/10 binary64)) (patch (log.f64 #s(literal 1/10 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (patch (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) #<representation binary64>) () ()) |
#s(alt (log.f64 (fma.f64 im im (*.f64 re re))) (patch (log.f64 (fma.f64 im im (*.f64 re re))) #<representation binary64>) () ()) |
#s(alt (fma.f64 im im (*.f64 re re)) (patch (fma.f64 im im (*.f64 re re)) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) (patch (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(literal 10 binary64)) (patch (log.f64 #s(literal 10 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ (log (pow im 2)) (log 10))) (taylor 0 re) (#s(alt (/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) (taylor 0 re) (#s(alt (/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10))))))) (taylor 0 re) (#s(alt (/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10))))))) (taylor 0 re) (#s(alt (/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (log (pow im 2))) (taylor 0 re) (#s(alt (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (log (pow im 2))) (* (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)))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (log (pow im 2)) (taylor 0 re) (#s(alt #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) (patch #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (pow im 2)) (/ (pow re 2) (pow im 2))) (taylor 0 re) (#s(alt #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) (patch #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2))))) (taylor 0 re) (#s(alt #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) (patch #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2))))) (taylor 0 re) (#s(alt #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) (patch #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (log im)) (taylor 0 re) (#s(alt (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))) (patch (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (log im)) (/ (pow re 2) (pow im 2))) (taylor 0 re) (#s(alt (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))) (patch (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (log im)) (/ (pow re 2) (pow im 2))) (taylor 0 re) (#s(alt (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))) (patch (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (log im)) (/ (pow re 2) (pow im 2))) (taylor 0 re) (#s(alt (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))) (patch (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (log im) (log 1/10))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (log 1/10) (log im)) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 1/10) (log im))) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 1/10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 1/10) (log im))) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 1/10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 1/10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 1/10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 1/10) (log im))) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ()) |
#s(alt (log im) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (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)))))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ (log (pow im 2)) (log 1/10))) (taylor 0 re) (#s(alt (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | im | @ | -inf | ((/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* (/ re im) (/ re im)) (* 2 (log im))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (/ (* -1/2 (log (+ (* im im) (* re re)))) (log 1/10)) (* -1/2 (log (+ (* im im) (* re re)))) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) 2) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log 10)) |
| 8.0ms | re | @ | 0 | ((/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* (/ re im) (/ re im)) (* 2 (log im))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (/ (* -1/2 (log (+ (* im im) (* re re)))) (log 1/10)) (* -1/2 (log (+ (* im im) (* re re)))) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) 2) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log 10)) |
| 8.0ms | re | @ | inf | ((/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* (/ re im) (/ re im)) (* 2 (log im))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (/ (* -1/2 (log (+ (* im im) (* re re)))) (log 1/10)) (* -1/2 (log (+ (* im im) (* re re)))) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) 2) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log 10)) |
| 7.0ms | im | @ | inf | ((/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* (/ re im) (/ re im)) (* 2 (log im))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (/ (* -1/2 (log (+ (* im im) (* re re)))) (log 1/10)) (* -1/2 (log (+ (* im im) (* re re)))) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) 2) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log 10)) |
| 5.0ms | im | @ | 0 | ((/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* (/ re im) (/ re im)) (* 2 (log im))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (/ (* -1/2 (log (+ (* im im) (* re re)))) (log 1/10)) (* -1/2 (log (+ (* im im) (* re re)))) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) 2) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log 10)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1099 | 10687 |
| 1 | 3281 | 10343 |
| 0 | 8343 | 9861 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (log (pow im 2)) (log 10))) |
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10))))))) |
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10))))))) |
(* 1/2 (log (pow im 2))) |
(+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(+ (* 1/2 (log (pow im 2))) (* (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)))))) |
(log (pow im 2)) |
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2))) |
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2))))) |
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2))))) |
(* 2 (log im)) |
(+ (* 2 (log im)) (/ (pow re 2) (pow im 2))) |
(+ (* 2 (log im)) (/ (pow re 2) (pow im 2))) |
(+ (* 2 (log im)) (/ (pow re 2) (pow im 2))) |
(* -1 (/ (log im) (log 1/10))) |
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(/ (log 1/10) (log im)) |
(+ (* -1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 1/10) (log im))) |
(+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 1/10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 1/10) (log im))) |
(+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 1/10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 1/10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 1/10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 1/10) (log im))) |
(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)))))) |
(* -1/2 (/ (log (pow im 2)) (log 1/10))) |
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) |
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(* -1/2 (log (pow im 2))) |
(+ (* -1/2 (log (pow im 2))) (* -1/2 (/ (pow re 2) (pow im 2)))) |
(+ (* -1/2 (log (pow im 2))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(+ (* -1/2 (log (pow im 2))) (* (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)))))) |
(log (pow im 2)) |
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2))) |
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2))))) |
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2))))) |
(pow im 2) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(* -1 (/ (log im) (log 1/10))) |
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) |
(/ -1 (log im)) |
(- (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im))) |
(- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im))) |
(- (* (pow re 2) (+ (* (pow re 2) (- (* (pow re 2) (- (+ (* 1/8 (/ 1 (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ 1 (* (pow im 6) (pow (log im) 2))))) (* -1/2 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))))) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im))) |
(/ (log im) (log 10)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(sqrt (/ (log im) (log 10))) |
(+ (sqrt (/ (log im) (log 10))) (* 1/4 (* (/ (pow re 2) (pow im 2)) (sqrt (/ 1 (* (log 10) (log im))))))) |
(+ (sqrt (/ (log im) (log 10))) (* (pow re 2) (+ (* -1/2 (* (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (log 10)))) (* 1/16 (/ 1 (* (pow im 4) (* (log 10) (log im))))))) (sqrt (/ (log 10) (log im))))) (* 1/4 (* (/ 1 (pow im 2)) (sqrt (/ 1 (* (log 10) (log im))))))))) |
(+ (sqrt (/ (log im) (log 10))) (* (pow re 2) (+ (* 1/4 (* (/ 1 (pow im 2)) (sqrt (/ 1 (* (log 10) (log im)))))) (* (pow re 2) (+ (* -1/2 (* (sqrt (/ (log 10) (log im))) (+ (* 1/4 (/ 1 (* (pow im 4) (log 10)))) (* 1/16 (/ 1 (* (pow im 4) (* (log 10) (log im)))))))) (* 1/2 (* (* (pow re 2) (- (* 1/6 (/ 1 (* (pow im 6) (log 10)))) (* -1/4 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (log 10)))) (* 1/16 (/ 1 (* (pow im 4) (* (log 10) (log im)))))) (* (pow im 2) (log im)))))) (sqrt (/ (log 10) (log im)))))))))) |
(/ (log im) (log 10)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) |
(* -1 (/ (log (/ 1 re)) (log 10))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* -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))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(* -2 (log (/ 1 re))) |
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2))) |
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2)))) |
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2))))) |
(/ (pow re 2) (pow im 2)) |
(* (pow re 2) (+ (* 2 (/ (log im) (pow re 2))) (/ 1 (pow im 2)))) |
(* (pow re 2) (+ (* 2 (/ (log im) (pow re 2))) (/ 1 (pow im 2)))) |
(* (pow re 2) (+ (* 2 (/ (log im) (pow re 2))) (/ 1 (pow im 2)))) |
(/ (log (/ 1 re)) (log 1/10)) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))) |
(* -1 (/ (log 1/10) (log (/ 1 re)))) |
(+ (* -1 (/ (log 1/10) (log (/ 1 re)))) (* -1/2 (/ (* (pow im 2) (log 1/10)) (* (pow re 2) (pow (log (/ 1 re)) 2))))) |
(- (+ (* -1 (/ (log 1/10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/4 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3)))) (pow re 4)))) (* 1/2 (/ (* (pow im 2) (log 1/10)) (* (pow re 2) (pow (log (/ 1 re)) 2))))) |
(- (+ (* -1 (/ (log 1/10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/8 (/ (* (pow im 6) (log 1/10)) (pow (log (/ 1 re)) 3))) (+ (* 1/720 (/ (* (log 1/10) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6)))) (+ (* -1/4 (/ (* (pow im 4) (log 1/10)) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (* (pow im 4) (log 1/10)) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (* 1/2 (/ (* (pow im 2) (log 1/10)) (* (pow re 2) (pow (log (/ 1 re)) 2))))))) |
(* -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)))))) |
(/ (log (/ 1 re)) (log 1/10)) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/6 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))) |
(log (/ 1 re)) |
(+ (log (/ 1 re)) (* -1/2 (/ (pow im 2) (pow re 2)))) |
(+ (log (/ 1 re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (* 1/4 (/ (pow im 4) (pow re 4))))) |
(+ (log (/ 1 re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* -1/6 (/ (pow im 6) (pow re 6))) (* 1/4 (/ (pow im 4) (pow re 4)))))) |
(* -2 (log (/ 1 re))) |
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2))) |
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2)))) |
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2))))) |
(pow re 2) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) |
(/ (log (/ 1 re)) (log 1/10)) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))) |
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))) |
(/ 1 (log (/ 1 re))) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2)))) (pow re 4))) (/ 1 (log (/ 1 re)))) (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2))))) |
(- (+ (* -1 (/ (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow (log (/ 1 re)) 2))) (+ (* 1/8 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))))) (log (/ 1 re)))))) (pow re 6))) (/ 1 (log (/ 1 re)))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2))))))) |
(* -1 (/ (log (/ 1 re)) (log 10))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) |
(* (sqrt (/ (log (/ 1 re)) (log 10))) (sqrt -1)) |
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(pow re 2) |
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(* 1/2 (log (pow re 2))) |
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(log (pow re 2)) |
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(/ (pow re 2) (pow im 2)) |
(/ (+ (* 2 (* (pow im 2) (log im))) (pow re 2)) (pow im 2)) |
(/ (+ (* 2 (* (pow im 2) (log im))) (pow re 2)) (pow im 2)) |
(/ (+ (* 2 (* (pow im 2) (log im))) (pow re 2)) (pow im 2)) |
(* -1 (/ (log re) (log 1/10))) |
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(+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10))))))) |
(/ (log 1/10) (log re)) |
(+ (* -1/2 (/ (* (pow im 2) (log 1/10)) (* (pow re 2) (pow (log re) 2)))) (/ (log 1/10) (log re))) |
(+ (* (pow im 2) (- (* -1 (* (pow im 2) (+ (* -1/4 (/ (log 1/10) (* (pow re 4) (pow (log re) 2)))) (* -1/4 (/ (log 1/10) (* (pow re 4) (pow (log re) 3))))))) (* 1/2 (/ (log 1/10) (* (pow re 2) (pow (log re) 2)))))) (/ (log 1/10) (log re))) |
(+ (* (pow im 2) (- (* (pow im 2) (- (* -1 (* (pow im 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 1/10) (* (pow re 4) (pow (log re) 2)))) (* -1/4 (/ (log 1/10) (* (pow re 4) (pow (log re) 3))))) (* (pow re 2) (log re)))) (+ (* 1/8 (/ (log 1/10) (* (pow re 6) (pow (log re) 3)))) (* 1/6 (/ (log 1/10) (* (pow re 6) (pow (log re) 2)))))))) (+ (* -1/4 (/ (log 1/10) (* (pow re 4) (pow (log re) 2)))) (* -1/4 (/ (log 1/10) (* (pow re 4) (pow (log re) 3))))))) (* 1/2 (/ (log 1/10) (* (pow re 2) (pow (log re) 2)))))) (/ (log 1/10) (log re))) |
(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)))))) |
(* -1/2 (/ (log (pow re 2)) (log 1/10))) |
(+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10))))) |
(+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10))))))) |
(+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10))))))) |
(* -1/2 (log (pow re 2))) |
(+ (* -1/2 (log (pow re 2))) (* -1/2 (/ (pow im 2) (pow re 2)))) |
(+ (* -1/2 (log (pow re 2))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))) |
(+ (* -1/2 (log (pow re 2))) (* (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 (pow re 2)) |
(+ (log (pow re 2)) (/ (pow im 2) (pow re 2))) |
(+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2))))) |
(+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2))))) |
(pow re 2) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(+ (pow im 2) (pow re 2)) |
(* -1 (/ (log re) (log 1/10))) |
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(+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10))))))) |
(+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10))))))) |
(/ -1 (log re)) |
(- (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log re) 2)))) (/ 1 (log re))) |
(- (* (pow im 2) (+ (* -1 (* (pow im 2) (+ (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 3))))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log re) 2)))))) (/ 1 (log re))) |
(- (* (pow im 2) (+ (* (pow im 2) (- (* (pow im 2) (- (+ (* 1/8 (/ 1 (* (pow re 6) (pow (log re) 3)))) (* 1/6 (/ 1 (* (pow re 6) (pow (log re) 2))))) (* -1/2 (/ (+ (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 3))))) (* (pow re 2) (log re)))))) (+ (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log re) 3))))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log re) 2)))))) (/ 1 (log re))) |
(/ (log re) (log 10)) |
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(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(sqrt (/ (log re) (log 10))) |
(+ (sqrt (/ (log re) (log 10))) (* 1/4 (* (/ (pow im 2) (pow re 2)) (sqrt (/ 1 (* (log 10) (log re))))))) |
(+ (sqrt (/ (log re) (log 10))) (* (pow im 2) (+ (* -1/2 (* (* (pow im 2) (+ (* 1/4 (/ 1 (* (pow re 4) (log 10)))) (* 1/16 (/ 1 (* (pow re 4) (* (log 10) (log re))))))) (sqrt (/ (log 10) (log re))))) (* 1/4 (* (/ 1 (pow re 2)) (sqrt (/ 1 (* (log 10) (log re))))))))) |
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(/ (log re) (log 10)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) |
(* -1 (/ (log (/ 1 im)) (log 10))) |
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(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(* -1 (log (/ 1 im))) |
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(* -2 (log (/ 1 im))) |
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(* -2 (log (/ 1 im))) |
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(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2))) |
(/ (log (/ 1 im)) (log 1/10)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))))) |
(* -1 (/ (log 1/10) (log (/ 1 im)))) |
(+ (* -1 (/ (log 1/10) (log (/ 1 im)))) (* -1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ 1 im)) 2))))) |
(- (+ (* -1 (/ (log 1/10) (log (/ 1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 1/10)) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 1/10)) (pow (log (/ 1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ 1 im)) 2))))) |
(- (+ (* -1 (/ (log 1/10) (log (/ 1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 1/10)) (pow (log (/ 1 im)) 3))) (+ (* 1/720 (/ (* (log 1/10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ 1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 1/10)) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 1/10)) (pow (log (/ 1 im)) 3))))) (log (/ 1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 1/10)) (* (pow im 4) (pow (log (/ 1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 1/10)) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ 1 im)) 2))))))) |
(* -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)))))) |
(/ (log (/ 1 im)) (log 1/10)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/6 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))))) |
(log (/ 1 im)) |
(+ (log (/ 1 im)) (* -1/2 (/ (pow re 2) (pow im 2)))) |
(+ (log (/ 1 im)) (+ (* -1/2 (/ (pow re 2) (pow im 2))) (* 1/4 (/ (pow re 4) (pow im 4))))) |
(+ (log (/ 1 im)) (+ (* -1/2 (/ (pow re 2) (pow im 2))) (+ (* -1/6 (/ (pow re 6) (pow im 6))) (* 1/4 (/ (pow re 4) (pow im 4)))))) |
(* -2 (log (/ 1 im))) |
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2))) |
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2)))) |
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2))))) |
(pow im 2) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(/ (log (/ 1 im)) (log 1/10)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))))) |
(/ 1 (log (/ 1 im))) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im)))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2)))) (pow im 4))) (/ 1 (log (/ 1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2))))) |
(- (+ (* -1 (/ (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ 1 im)) 2))) (+ (* 1/8 (/ (pow re 6) (pow (log (/ 1 im)) 3))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2))))) (log (/ 1 im)))))) (pow im 6))) (/ 1 (log (/ 1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 2))))))) |
(* -1 (/ (log (/ 1 im)) (log 10))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1)) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ 1 im))))))) (* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1))) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ 1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ 1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ 1 im)))))) (* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1)))) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ 1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ 1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ 1 im)))))) (+ (* 1/2 (* (/ (- (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log 10))) (* 1/4 (/ (* (pow re 2) (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ 1 im)) (pow (sqrt -1) 2))))))) (* (log (/ 1 im)) (pow (sqrt -1) 2))))) (* (pow im 6) (sqrt -1))) (sqrt (/ (log 10) (log (/ 1 im)))))) (* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1))))) |
(* -1 (/ (log (/ 1 im)) (log 10))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(* -1 (/ (log (/ -1 im)) (log 10))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(* -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))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -2 (log (/ -1 im))) |
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2))) |
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2)))) |
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2))))) |
(* 2 (+ (log -1) (* -1 (log (/ -1 im))))) |
(+ (* 2 (+ (log -1) (* -1 (log (/ -1 im))))) (/ (pow re 2) (pow im 2))) |
(+ (* 2 (+ (log -1) (* -1 (log (/ -1 im))))) (/ (pow re 2) (pow im 2))) |
(+ (* 2 (+ (log -1) (* -1 (log (/ -1 im))))) (/ (pow re 2) (pow im 2))) |
(/ (log (/ -1 im)) (log 1/10)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))) |
(* -1 (/ (log 1/10) (log (/ -1 im)))) |
(+ (* -1 (/ (log 1/10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))) |
(- (+ (* -1 (/ (log 1/10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))) |
(- (+ (* -1 (/ (log 1/10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 1/10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 1/10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 1/10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 1/10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))))) |
(* -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)))))) |
(/ (log (/ -1 im)) (log 1/10)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/6 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))) |
(log (/ -1 im)) |
(+ (log (/ -1 im)) (* -1/2 (/ (pow re 2) (pow im 2)))) |
(+ (log (/ -1 im)) (+ (* -1/2 (/ (pow re 2) (pow im 2))) (* 1/4 (/ (pow re 4) (pow im 4))))) |
(+ (log (/ -1 im)) (+ (* -1/2 (/ (pow re 2) (pow im 2))) (+ (* -1/6 (/ (pow re 6) (pow im 6))) (* 1/4 (/ (pow re 4) (pow im 4)))))) |
(* -2 (log (/ -1 im))) |
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2))) |
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2)))) |
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2))))) |
(pow im 2) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) |
(/ (log (/ -1 im)) (log 1/10)) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))) |
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))) |
(/ 1 (log (/ -1 im))) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2)))) (pow im 4))) (/ 1 (log (/ -1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2))))) |
(- (+ (* -1 (/ (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (+ (* 1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))))) (log (/ -1 im)))))) (pow im 6))) (/ 1 (log (/ -1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2))))))) |
(* -1 (/ (log (/ -1 im)) (log 10))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1)) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1))) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1)))) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (+ (* 1/2 (* (/ (- (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log 10))) (* 1/4 (/ (* (pow re 2) (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2))))))) (* (log (/ -1 im)) (pow (sqrt -1) 2))))) (* (pow im 6) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1))))) |
(* -1 (/ (log (/ -1 im)) (log 10))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
| Outputs |
|---|
(* 1/2 (/ (log (pow im 2)) (log 10))) |
(*.f64 (/.f64 (log.f64 (*.f64 im im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (*.f64 im im)) (log.f64 #s(literal 10 binary64))))) |
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 #s(literal 10 binary64)) im) im))) (*.f64 re re) (*.f64 (/.f64 (log.f64 (*.f64 im im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 #s(literal 10 binary64)) im) im))) (*.f64 re re) (*.f64 (/.f64 (log.f64 (*.f64 im im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))) |
(* 1/2 (log (pow im 2))) |
(*.f64 (log.f64 (*.f64 im im)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 re im) (/.f64 re im) (log.f64 (*.f64 im im)))) |
(+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 re 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) (*.f64 (log.f64 (*.f64 im im)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (log (pow im 2))) (* (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)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (*.f64 (log.f64 (*.f64 im im)) #s(literal 1/2 binary64))) |
(log (pow im 2)) |
(log.f64 (*.f64 im im)) |
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2))) |
(fma.f64 (/.f64 re im) (/.f64 re im) (log.f64 (*.f64 im im))) |
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 (*.f64 im im))) |
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 re re) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 (*.f64 im im))) |
(* 2 (log im)) |
(*.f64 (log.f64 im) #s(literal 2 binary64)) |
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(fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (log.f64 im) #s(literal 2 binary64))) |
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(/ 1 (log (/ -1 im))) |
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(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))) |
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(* -1 (/ (log (/ -1 im)) (log 10))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.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 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(-.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.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 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (*.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) |
(* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 re (sqrt.f64 #s(literal -1 binary64))) (/.f64 re (*.f64 im im)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1)))) |
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(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (+ (* 1/2 (* (/ (- (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log 10))) (* 1/4 (/ (* (pow re 2) (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2))))))) (* (log (/ -1 im)) (pow (sqrt -1) 2))))) (* (pow im 6) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1))))) |
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(* -1 (/ (log (/ -1 im)) (log 10))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.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 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) |
(-.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.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 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (*.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 245 |
| 0 | 60 | 230 |
| 1 | 189 | 221 |
| 2 | 1089 | 221 |
| 0 | 8341 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) |
#s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) |
(fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) |
(log.f64 #s(literal 1/10 binary64)) |
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 1/10 binary64))) |
(*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) |
(log.f64 (fma.f64 im im (*.f64 re re))) |
(fma.f64 im im (*.f64 re re)) |
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) |
(pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
(log.f64 #s(literal 10 binary64)) |
| Outputs |
|---|
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Compiled 29 945 to 3 961 computations (86.8% saved)
21 alts after pruning (12 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 360 | 7 | 1 367 |
| Fresh | 1 | 5 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 363 | 21 | 1 384 |
| Status | Accuracy | Program |
|---|---|---|
| 69.2% | (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))) #s(literal 2 binary64)) | |
| 69.3% | (pow.f64 (sqrt.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))) #s(literal 2 binary64)) | |
| 98.6% | (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) | |
| 98.2% | (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| 98.3% | (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))) (log.f64 #s(literal 10 binary64))) | |
| ✓ | 51.8% | (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
| 98.9% | (/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) | |
| ✓ | 98.9% | (/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
| 3.5% | (/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) #s(approx (+ (* (/ re im) (/ re im)) (* 2 (log im))) (*.f64 (/.f64 re im) (/.f64 re im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) | |
| ✓ | 51.9% | (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 1/10 binary64))) |
| 98.1% | (/.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) | |
| ✓ | 99.1% | (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
| ✓ | 98.3% | (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
| ✓ | 99.1% | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
| ✓ | 98.3% | (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
| ✓ | 98.1% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
| 98.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))) | |
| ✓ | 98.2% | (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
| 98.1% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 10 binary64)))) | |
| 69.8% | (sqrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -2 binary64))) | |
| 68.9% | (exp.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))) |
Compiled 674 to 342 computations (49.3% saved)
| Inputs |
|---|
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) #s(approx (+ (* (/ re im) (/ re im)) (* 2 (log im))) (*.f64 (/.f64 re im) (/.f64 re im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 10 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -2 binary64))) |
(pow.f64 (sqrt.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) |
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64))) |
(exp.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))) |
(exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))))) |
(pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))) |
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) |
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) |
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))) |
(/.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) |
8 calls:
| 39.0ms | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 20.0ms | (*.f64 re re) |
| 18.0ms | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 14.0ms | im |
| 11.0ms | re |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | re |
| 99.4% | 1 | im |
| 99.4% | 1 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 99.4% | 1 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 99.4% | 1 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 99.4% | 1 | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 99.4% | 1 | (*.f64 re re) |
| 99.4% | 1 | (*.f64 im im) |
Compiled 44 to 38 computations (13.6% saved)
| Inputs |
|---|
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) #s(approx (+ (* (/ re im) (/ re im)) (* 2 (log im))) (*.f64 (/.f64 re im) (/.f64 re im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 10 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -2 binary64))) |
(pow.f64 (sqrt.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) |
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64))) |
(exp.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))) |
(exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))))) |
(pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))) |
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) |
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) |
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))) |
(/.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))) (log.f64 #s(literal 10 binary64))) |
| Outputs |
|---|
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
8 calls:
| 42.0ms | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 15.0ms | im |
| 12.0ms | re |
| 12.0ms | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 12.0ms | (*.f64 re re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | re |
| 99.1% | 1 | im |
| 99.1% | 1 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 99.1% | 1 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 99.1% | 1 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 99.1% | 1 | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 99.1% | 1 | (*.f64 re re) |
| 99.1% | 1 | (*.f64 im im) |
Compiled 44 to 38 computations (13.6% saved)
| Inputs |
|---|
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) #s(approx (+ (* (/ re im) (/ re im)) (* 2 (log im))) (*.f64 (/.f64 re im) (/.f64 re im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 10 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
8 calls:
| 7.0ms | re |
| 6.0ms | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 5.0ms | im |
| 5.0ms | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 5.0ms | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | re |
| 98.9% | 1 | (*.f64 re re) |
| 98.9% | 1 | im |
| 98.9% | 1 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 98.9% | 1 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 98.9% | 1 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 98.9% | 1 | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 98.9% | 1 | (*.f64 im im) |
Compiled 44 to 38 computations (13.6% saved)
| Inputs |
|---|
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) #s(approx (+ (* (/ re im) (/ re im)) (* 2 (log im))) (*.f64 (/.f64 re im) (/.f64 re im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 10 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 1/10 binary64))) |
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
8 calls:
| 9.0ms | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 6.0ms | im |
| 5.0ms | re |
| 4.0ms | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 4.0ms | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | re |
| 98.3% | 1 | im |
| 98.3% | 1 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 98.3% | 1 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 98.3% | 1 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 98.3% | 1 | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 98.3% | 1 | (*.f64 re re) |
| 98.3% | 1 | (*.f64 im im) |
Compiled 44 to 38 computations (13.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) #s(approx (+ (* (/ re im) (/ re im)) (* 2 (log im))) (*.f64 (/.f64 re im) (/.f64 re im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) #s(approx (+ (* (/ re im) (/ re im)) (* 2 (log im))) (*.f64 (/.f64 re im) (/.f64 re im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
8 calls:
| 5.0ms | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 1.0ms | re |
| 1.0ms | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 1.0ms | im |
| 1.0ms | (*.f64 im im) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.5% | 1 | re |
| 3.5% | 1 | im |
| 3.5% | 1 | (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) |
| 3.5% | 1 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 3.5% | 1 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 3.5% | 1 | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 3.5% | 1 | (*.f64 re re) |
| 3.5% | 1 | (*.f64 im im) |
Compiled 44 to 38 computations (13.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 94 |
| 1 | 47 | 94 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) #s(approx (+ (* (/ re im) (/ re im)) (* 2 (log im))) (*.f64 (/.f64 re im) (/.f64 re im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
| Outputs |
|---|
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (log.f64 im) #s(literal 2 binary64))))) (log.f64 #s(literal 10 binary64))) |
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) |
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) #s(approx (+ (* (/ re im) (/ re im)) (* 2 (log im))) (*.f64 (/.f64 re im) (/.f64 re im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 967 | 9912 |
| 1 | 2930 | 9594 |
| 0 | 8567 | 9144 |
| 0 | 10 | 41 |
| 0 | 17 | 41 |
| 1 | 44 | 41 |
| 2 | 251 | 41 |
| 3 | 2046 | 41 |
| 0 | 8387 | 25 |
| 0 | 268 | 1676 |
| 1 | 730 | 1632 |
| 2 | 2203 | 1630 |
| 3 | 5799 | 1618 |
| 0 | 8392 | 1506 |
| 0 | 1099 | 10687 |
| 1 | 3281 | 10343 |
| 0 | 8343 | 9861 |
| 0 | 29 | 114 |
| 0 | 48 | 105 |
| 1 | 136 | 104 |
| 2 | 642 | 103 |
| 3 | 5365 | 103 |
| 0 | 8214 | 103 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 250 to 146 computations (41.6% saved)
(sort re im)
(abs re)
(abs im)
Compiled 294 to 240 computations (18.4% saved)
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