
Time bar (total: 16.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 49.9% | 0.1% | 0% | 49.9% | 0% | 4 |
| 0% | 0% | 49.9% | 0.1% | 0% | 49.9% | 0% | 5 |
| 0% | 0% | 49.9% | 0.1% | 0% | 49.9% | 0% | 6 |
| 9.4% | 4.7% | 45.2% | 0.1% | 0% | 49.9% | 0% | 7 |
| 17.2% | 8.6% | 41.3% | 0.1% | 0% | 49.9% | 0% | 8 |
| 27.3% | 13.7% | 36.3% | 0.1% | 0% | 49.9% | 0% | 9 |
| 41% | 20.5% | 29.4% | 0.1% | 0% | 49.9% | 0% | 10 |
| 48.6% | 24.3% | 25.6% | 0.1% | 0% | 49.9% | 0% | 11 |
| 57.1% | 28.5% | 21.4% | 0.1% | 0% | 49.9% | 0% | 12 |
Compiled 30 to 17 computations (43.3% saved)
| 1.9s | 8 256× | 0 | valid |
ival-log: 332.0ms (25.1% of total)ival-mult: 314.0ms (23.8% of total)ival-hypot: 306.0ms (23.2% of total)ival-div: 187.0ms (14.2% of total)ival-add: 107.0ms (8.1% of total)ival-atan2: 60.0ms (4.5% of total)ival-true: 6.0ms (0.5% of total)exact: 5.0ms (0.4% of total)ival-assert: 3.0ms (0.2% of total)| 1× | egg-herbie |
| 6 840× | *-lowering-*.f32 |
| 6 840× | *-lowering-*.f64 |
| 3 030× | cube-prod |
| 2 360× | /-lowering-/.f32 |
| 2 360× | /-lowering-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 189 |
| 1 | 144 | 171 |
| 2 | 238 | 171 |
| 3 | 461 | 125 |
| 4 | 851 | 113 |
| 5 | 1592 | 113 |
| 6 | 4817 | 113 |
| 7 | 7486 | 113 |
| 0 | 18 | 20 |
| 1 | 25 | 18 |
| 2 | 29 | 18 |
| 3 | 39 | 14 |
| 4 | 48 | 12 |
| 5 | 49 | 12 |
| 6 | 102 | 12 |
| 7 | 306 | 12 |
| 8 | 1167 | 12 |
| 9 | 1904 | 12 |
| 10 | 2354 | 12 |
| 11 | 2660 | 12 |
| 12 | 3131 | 12 |
| 13 | 3858 | 12 |
| 14 | 4873 | 12 |
| 15 | 5999 | 12 |
| 16 | 6341 | 12 |
| 17 | 6548 | 12 |
| 18 | 6743 | 12 |
| 19 | 6950 | 12 |
| 0 | 8439 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) |
| Outputs |
|---|
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) |
(abs im)
(abs re)
(sort re im)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 120 | 0 | - | 2 | (6.415996452514208e-308 8.2479600661367e-161 5.4820337974644836e+290) | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 0 | 0 | - | 0 | - | (log.f64 base) |
| 0 | 0 | - | 0 | - | (*.f64 re re) |
| 0 | 0 | - | 0 | - | (atan2.f64 im re) |
| 0 | 0 | - | 0 | - | im |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 0 | 0 | - | 0 | - | re |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 0 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (log.f64 base) (log.f64 base)) |
| 0 | 0 | - | 0 | - | (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
| 0 | 0 | - | 0 | - | (*.f64 im im) |
| 0 | 0 | - | 0 | - | base |
| 0 | 0 | - | 0 | - | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) | oflow-rescue | 103 | 0 |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | overflow | 103 | |
| ↳ | (*.f64 re re) | overflow | 16 | |
| ↳ | (*.f64 im im) | overflow | 103 | |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) | uflow-rescue | 15 | 0 |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | underflow | 15 | |
| ↳ | (*.f64 re re) | underflow | 101 | |
| ↳ | (*.f64 im im) | underflow | 15 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 118 | 2 |
| - | 0 | 136 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 118 | 0 | 2 |
| - | 0 | 0 | 136 |
| number | freq |
|---|---|
| 0 | 138 |
| 1 | 118 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 118.0ms | 512× | 0 | valid |
Compiled 304 to 76 computations (75% saved)
ival-atan2: 45.0ms (48.6% of total)ival-mult: 15.0ms (16.2% of total)ival-log: 13.0ms (14% of total)ival-hypot: 9.0ms (9.7% of total)ival-add: 7.0ms (7.6% of total)ival-div: 3.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.6% | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
Compiled 31 to 18 computations (41.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 192 | (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
| ✓ | cost-diff | 6784 | (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) |
| ✓ | cost-diff | 13440 | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| 6 840× | *-lowering-*.f32 |
| 6 840× | *-lowering-*.f64 |
| 3 030× | cube-prod |
| 2 360× | /-lowering-/.f32 |
| 2 360× | /-lowering-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 99 |
| 1 | 25 | 93 |
| 2 | 29 | 93 |
| 3 | 39 | 89 |
| 4 | 48 | 87 |
| 5 | 49 | 87 |
| 6 | 102 | 87 |
| 7 | 306 | 87 |
| 8 | 1167 | 87 |
| 9 | 1904 | 87 |
| 10 | 2354 | 87 |
| 11 | 2660 | 87 |
| 12 | 3131 | 87 |
| 13 | 3858 | 87 |
| 14 | 4873 | 87 |
| 15 | 5999 | 87 |
| 16 | 6341 | 87 |
| 17 | 6548 | 87 |
| 18 | 6743 | 87 |
| 19 | 6950 | 87 |
| 0 | 8439 | 61 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) |
(+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) |
(* (log (sqrt (+ (* re re) (* im im)))) (log base)) |
(log (sqrt (+ (* re re) (* im im)))) |
(sqrt (+ (* re re) (* im im))) |
(+ (* re re) (* im im)) |
(* re re) |
re |
(* im im) |
im |
(log base) |
base |
(* (atan2 im re) 0) |
(atan2 im re) |
0 |
(+ (* (log base) (log base)) (* 0 0)) |
(* (log base) (log base)) |
(* 0 0) |
| Outputs |
|---|
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) |
(+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) |
(*.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) |
(* (log (sqrt (+ (* re re) (* im im)))) (log base)) |
(*.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) |
(log (sqrt (+ (* re re) (* im im)))) |
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) |
(sqrt (+ (* re re) (* im im))) |
(sqrt.f64 (fma.f64 re re (*.f64 im im))) |
(+ (* re re) (* im im)) |
(fma.f64 re re (*.f64 im im)) |
(* re re) |
(*.f64 re re) |
re |
(* im im) |
(*.f64 im im) |
im |
(log base) |
(log.f64 base) |
base |
(* (atan2 im re) 0) |
#s(literal 0 binary64) |
(atan2 im re) |
(atan2.f64 im re) |
0 |
#s(literal 0 binary64) |
(+ (* (log base) (log base)) (* 0 0)) |
(*.f64 (log.f64 base) (log.f64 base)) |
(* (log base) (log base)) |
(*.f64 (log.f64 base) (log.f64 base)) |
(* 0 0) |
#s(literal 0 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
| ✓ | accuracy | 99.4% | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| ✓ | accuracy | 99.2% | (*.f64 (log.f64 base) (log.f64 base)) |
| ✓ | accuracy | 56.7% | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 40.0ms | 256× | 0 | valid |
Compiled 121 to 20 computations (83.5% saved)
ival-mult: 7.0ms (24.3% of total)ival-hypot: 7.0ms (24.3% of total)ival-log: 6.0ms (20.8% of total)ival-div: 4.0ms (13.9% of total)ival-add: 3.0ms (10.4% of total)ival-atan2: 2.0ms (6.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))> |
#<alt (* (atan2 im re) 0)> |
#<alt (* 0 0)> |
#<alt (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))> |
#<alt (sqrt (+ (* re re) (* im im)))> |
#<alt (* (log base) (log base))> |
#<alt (* (log (sqrt (+ (* re re) (* im im)))) (log base))> |
| Outputs |
|---|
#<alt (/ (log im) (log base))> |
#<alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))> |
#<alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))> |
#<alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))> |
#<alt (* -1 (/ (log (/ 1 re)) (log base)))> |
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))> |
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))> |
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))> |
#<alt (* -1 (/ (log (/ -1 re)) (log base)))> |
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))> |
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))> |
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))> |
#<alt (/ (log re) (log base))> |
#<alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))> |
#<alt (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))> |
#<alt (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))> |
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))> |
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))> |
#<alt (* -1 (/ (log (/ -1 im)) (log base)))> |
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))> |
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))> |
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))> |
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt (* (log base) (log im))> |
#<alt (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))> |
#<alt (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))> |
#<alt (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))> |
#<alt (* -1 (* (log base) (log (/ 1 re))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))> |
#<alt (* -1 (* (log base) (log (/ -1 re))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))> |
#<alt (* (log base) (log re))> |
#<alt (+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))> |
#<alt (+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))> |
#<alt (+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))> |
#<alt (* -1 (* (log base) (log (/ 1 im))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))> |
#<alt (* -1 (* (log base) (log (/ -1 im))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt im> |
#<alt (+ im (* 1/2 (/ (pow re 2) im)))> |
#<alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))> |
#<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)))))> |
#<alt re> |
#<alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))> |
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))> |
#<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)))))))> |
#<alt (* -1 re)> |
#<alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))> |
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))> |
#<alt (* -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))))))))> |
#<alt re> |
#<alt (+ re (* 1/2 (/ (pow im 2) re)))> |
#<alt (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))> |
#<alt (+ 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)))))> |
#<alt im> |
#<alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))> |
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))> |
#<alt (* 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)))))))> |
#<alt (* -1 im)> |
#<alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))> |
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))> |
#<alt (* -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))))))))> |
#<alt (pow (log base) 2)> |
#<alt (pow (log base) 2)> |
#<alt (pow (log base) 2)> |
#<alt (pow (log base) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (* (log base) (log im))> |
#<alt (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))> |
#<alt (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))> |
#<alt (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))> |
#<alt (* -1 (* (log base) (log (/ 1 re))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))> |
#<alt (* -1 (* (log base) (log (/ -1 re))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))> |
#<alt (* (log base) (log re))> |
#<alt (+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))> |
#<alt (+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))> |
#<alt (+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))> |
#<alt (* -1 (* (log base) (log (/ 1 im))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))> |
#<alt (* -1 (* (log base) (log (/ -1 im))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | base | @ | 0 | (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) |
| 13.0ms | base | @ | -inf | (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) |
| 12.0ms | base | @ | inf | (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) |
| 3.0ms | im | @ | inf | (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) |
| 2.0ms | im | @ | -inf | (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) |
| 1× | batch-egg-rewrite |
| 5 018× | accelerator-lowering-fma.f32 |
| 5 018× | accelerator-lowering-fma.f64 |
| 3 884× | *-lowering-*.f32 |
| 3 884× | *-lowering-*.f64 |
| 2 884× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 61 |
| 1 | 81 | 55 |
| 2 | 668 | 55 |
| 3 | 6204 | 55 |
| 0 | 8227 | 35 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) |
(* (atan2 im re) 0) |
(* 0 0) |
(+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) |
(sqrt (+ (* re re) (* im im))) |
(* (log base) (log base)) |
(* (log (sqrt (+ (* re re) (* im im)))) (log base)) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 0 binary64)) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))) |
(+.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) |
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) |
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) |
(exp.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 0 binary64)) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #s(literal 0 binary64)) |
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(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 3 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (log.f64 base) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) |
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (log.f64 base) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 3 binary64)) (log.f64 base))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3/2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3/2 binary64)) (*.f64 (log.f64 base) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3/2 binary64)) (*.f64 (log.f64 base) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3/2 binary64)) (log.f64 base))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (*.f64 (log.f64 base) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) |
(*.f64 (/.f64 (*.f64 (log.f64 base) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (/.f64 (log.f64 base) (log.f64 base))) |
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) (log.f64 base))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 4 binary64))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (*.f64 (log.f64 base) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3 binary64))) (/.f64 (log.f64 base) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal -2 binary64)))) |
| 1× | egg-herbie |
| 12 210× | accelerator-lowering-fma.f32 |
| 12 210× | accelerator-lowering-fma.f64 |
| 4 836× | *-lowering-*.f32 |
| 4 836× | *-lowering-*.f64 |
| 3 926× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 2912 |
| 1 | 840 | 2860 |
| 2 | 2644 | 2828 |
| 3 | 6337 | 2818 |
| 0 | 8102 | 2516 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (log im) (log base)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(* -1 (/ (log (/ 1 re)) (log base))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(* -1 (/ (log (/ -1 re)) (log base))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(/ (log re) (log base)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(* (log base) (log im)) |
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im))) |
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2)))))) |
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6)))))))) |
(* -1 (* (log base) (log (/ 1 re)))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
(* -1 (* (log base) (log (/ -1 re)))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
(* (log base) (log re)) |
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re))) |
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2)))))) |
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6)))))))) |
(* -1 (* (log base) (log (/ 1 im)))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(* -1 (* (log base) (log (/ -1 im)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
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))))) |
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 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)))))))) |
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))))) |
im |
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(* -1 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)))))))) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(* (log base) (log im)) |
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im))) |
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2)))))) |
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6)))))))) |
(* -1 (* (log base) (log (/ 1 re)))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
(* -1 (* (log base) (log (/ -1 re)))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
(* (log base) (log re)) |
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re))) |
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2)))))) |
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6)))))))) |
(* -1 (* (log base) (log (/ 1 im)))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(* -1 (* (log base) (log (/ -1 im)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
| Outputs |
|---|
(/ (log im) (log base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(fma.f64 re (*.f64 re (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(fma.f64 (*.f64 re re) (fma.f64 re (*.f64 re (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (log.f64 im) (log.f64 base))) |
(* -1 (/ (log (/ 1 re)) (log base))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(fma.f64 (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re)) (/.f64 (log.f64 re) (log.f64 base))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re))) (/.f64 (log.f64 re) (log.f64 base))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (log.f64 re) (log.f64 base)))) |
(* -1 (/ (log (/ -1 re)) (log base))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(fma.f64 (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base)))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base)))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(-.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re))) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) |
(/ (log re) (log base)) |
(/.f64 (log.f64 re) (log.f64 base)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) |
(fma.f64 (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re)) (/.f64 (log.f64 re) (log.f64 base))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re))) (/.f64 (log.f64 re) (log.f64 base))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re))) (/.f64 (log.f64 re) (log.f64 base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(fma.f64 re (*.f64 re (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(fma.f64 re (*.f64 re (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base)))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (log.f64 im) (log.f64 base)))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(-.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(-.f64 (fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
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(neg.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) im) im)) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(fma.f64 (neg.f64 im) (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) 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)))))))) |
(neg.f64 (fma.f64 im (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) im) im))) |
(pow (log base) 2) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow (log base) 2) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow (log base) 2) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow (log base) 2) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow (log (/ 1 base)) 2) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow (log (/ 1 base)) 2) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow (log (/ 1 base)) 2) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow (log (/ 1 base)) 2) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) |
(* (log base) (log im)) |
(*.f64 (log.f64 im) (log.f64 base)) |
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im))) |
(fma.f64 (log.f64 im) (log.f64 base) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re)) (*.f64 im im))) |
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2)))))) |
(fma.f64 (*.f64 re re) (fma.f64 (log.f64 base) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (log.f64 base) re) re)) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 (log.f64 im) (log.f64 base))) |
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6)))))))) |
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (fma.f64 (log.f64 base) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 base) re) re)) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 im im))) (*.f64 (log.f64 im) (log.f64 base))) |
(* -1 (* (log base) (log (/ 1 re)))) |
(*.f64 (log.f64 base) (log.f64 re)) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) |
(fma.f64 (/.f64 (log.f64 base) (*.f64 re re)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 (log.f64 base) (log.f64 re))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))) |
(fma.f64 (log.f64 base) (log.f64 re) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) im) (/.f64 im (*.f64 re re))) (/.f64 (*.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (*.f64 re re) (*.f64 re re))))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
(fma.f64 (log.f64 base) (log.f64 re) (fma.f64 (log.f64 base) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) im) (/.f64 im (*.f64 re re))) (/.f64 (*.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (*.f64 re re) (*.f64 re re)))))) |
(* -1 (* (log base) (log (/ -1 re)))) |
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) im) (/.f64 im (*.f64 re re))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base)))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (log.f64 base)) (*.f64 re re)) (fma.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (*.f64 re re) (*.f64 re re)))))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) im) (/.f64 im (*.f64 re re))) (/.f64 (*.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (*.f64 re re) (*.f64 re re)))) (fma.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)) (*.f64 #s(literal -1/720 binary64) (*.f64 (log.f64 base) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 re #s(literal 6 binary64))))))) |
(* (log base) (log re)) |
(*.f64 (log.f64 base) (log.f64 re)) |
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re))) |
(fma.f64 (/.f64 (log.f64 base) (*.f64 re re)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 (log.f64 base) (log.f64 re))) |
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2)))))) |
(fma.f64 (*.f64 im im) (fma.f64 im (/.f64 (*.f64 im (*.f64 (log.f64 base) #s(literal -1/4 binary64))) (*.f64 (*.f64 re re) (*.f64 re re))) (/.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 re re))) (*.f64 (log.f64 base) (log.f64 re))) |
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6)))))))) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (log.f64 base) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) (*.f64 (*.f64 im (*.f64 im (log.f64 base))) (/.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64)))))) (/.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 re re))) (*.f64 (log.f64 base) (log.f64 re))) |
(* -1 (* (log base) (log (/ 1 im)))) |
(*.f64 (log.f64 im) (log.f64 base)) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(fma.f64 (log.f64 im) (log.f64 base) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re)) (*.f64 im im))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(fma.f64 (log.f64 im) (log.f64 base) (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re)) (*.f64 im im)))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(fma.f64 (log.f64 im) (log.f64 base) (fma.f64 (log.f64 base) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re)) (*.f64 im im))))) |
(* -1 (* (log base) (log (/ -1 im)))) |
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re)) (*.f64 im im))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re)) (*.f64 im im)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(-.f64 (fma.f64 (log.f64 base) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re)) (*.f64 im im)))) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
Compiled 69 852 to 3 244 computations (95.4% saved)
21 alts after pruning (21 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 639 | 21 | 1 660 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 1 640 | 21 | 1 661 |
| Status | Accuracy | Program |
|---|---|---|
| 52.8% | (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64))) | |
| 54.6% | (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) | |
| ▶ | 54.6% | (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) |
| ▶ | 99.2% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| 54.6% | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) | |
| 54.6% | (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) | |
| 54.6% | (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) | |
| ▶ | 98.1% | (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| 54.7% | (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) | |
| ▶ | 98.3% | (/.f64 (log.f64 im) (log.f64 base)) |
| 54.6% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) | |
| 54.7% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (log.f64 base)))) | |
| 54.6% | (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) | |
| ▶ | 54.6% | (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) |
| 54.6% | (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) | |
| 54.6% | (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) | |
| 54.6% | (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) | |
| 54.6% | (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base)) | |
| 54.6% | (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) | |
| 54.5% | (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (log.f64 base)) (log.f64 base)) | |
| 54.6% | (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
Compiled 938 to 594 computations (36.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 base) |
| ✓ | cost-diff | 0 | (pow.f64 (log.f64 base) #s(literal 2 binary64)) |
| ✓ | cost-diff | 6720 | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) |
| ✓ | cost-diff | 19264 | (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) |
| ✓ | cost-diff | 0 | (log.f64 base) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (log.f64 base)) |
| ✓ | cost-diff | 1088 | (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) |
| ✓ | cost-diff | 13440 | (/.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) |
| ✓ | cost-diff | 192 | (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
| ✓ | cost-diff | 256 | (*.f64 (log.f64 base) (log.f64 base)) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
| ✓ | cost-diff | 13184 | (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| ✓ | cost-diff | 0 | (log.f64 base) |
| ✓ | cost-diff | 0 | (log.f64 im) |
| ✓ | cost-diff | 0 | (/.f64 (log.f64 im) (log.f64 base)) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
| ✓ | cost-diff | 5120 | (hypot.f64 re im) |
| ✓ | cost-diff | 6784 | (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) |
| ✓ | cost-diff | 13184 | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| 16 016× | accelerator-lowering-fma.f32 |
| 16 016× | accelerator-lowering-fma.f64 |
| 5 458× | *-lowering-*.f32 |
| 5 458× | *-lowering-*.f64 |
| 2 492× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 305 |
| 1 | 66 | 297 |
| 2 | 153 | 275 |
| 3 | 533 | 269 |
| 4 | 1034 | 269 |
| 5 | 2228 | 269 |
| 6 | 2715 | 269 |
| 7 | 2972 | 269 |
| 8 | 3089 | 269 |
| 9 | 3235 | 269 |
| 10 | 3463 | 269 |
| 11 | 5257 | 269 |
| 12 | 5905 | 269 |
| 0 | 8444 | 232 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) |
(+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) |
(* (log (sqrt (+ (* re re) (* im im)))) (log base)) |
(log (sqrt (+ (* re re) (* im im)))) |
(sqrt (+ (* re re) (* im im))) |
re |
im |
(log base) |
base |
(* (atan2 im re) 0) |
(atan2 im re) |
0 |
(+ (* (log base) (log base)) (* 0 0)) |
(* (log base) (log base)) |
(* 0 0) |
(/ (log im) (log base)) |
(log im) |
im |
(log base) |
base |
(/ (* (log im) (log base)) (+ (* (log base) (log base)) (* 0 0))) |
(* (log im) (log base)) |
(log im) |
im |
(log base) |
base |
(+ (* (log base) (log base)) (* 0 0)) |
(* (log base) (log base)) |
(* 0 0) |
0 |
(/ (/ 1 (log base)) (/ (log base) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)))) |
(/ 1 (log base)) |
1 |
(log base) |
base |
(/ (log base) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) |
(* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) |
(* 1/2 (log (+ (* re re) (* im im)))) |
1/2 |
(log (+ (* re re) (* im im))) |
(+ (* re re) (* im im)) |
re |
(* im im) |
im |
(* (pow (log base) 2) (* (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (pow (log base) -4))) |
(pow (log base) 2) |
(log base) |
base |
2 |
(* (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (pow (log base) -4)) |
(* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) |
(* 1/2 (log (+ (* re re) (* im im)))) |
1/2 |
(log (+ (* re re) (* im im))) |
(+ (* re re) (* im im)) |
re |
(* im im) |
im |
(pow (log base) -4) |
-4 |
| Outputs |
|---|
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) |
(+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) |
(*.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) |
(* (log (sqrt (+ (* re re) (* im im)))) (log base)) |
(*.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) |
(log (sqrt (+ (* re re) (* im im)))) |
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) |
(sqrt (+ (* re re) (* im im))) |
(sqrt.f64 (fma.f64 re re (*.f64 im im))) |
re |
im |
(log base) |
(log.f64 base) |
base |
(* (atan2 im re) 0) |
#s(literal 0 binary64) |
(atan2 im re) |
(atan2.f64 im re) |
0 |
#s(literal 0 binary64) |
(+ (* (log base) (log base)) (* 0 0)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(* (log base) (log base)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(* 0 0) |
#s(literal 0 binary64) |
(/ (log im) (log base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log im) |
(log.f64 im) |
im |
(log base) |
(log.f64 base) |
base |
(/ (* (log im) (log base)) (+ (* (log base) (log base)) (* 0 0))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(* (log im) (log base)) |
(*.f64 (log.f64 base) (log.f64 im)) |
(log im) |
(log.f64 im) |
im |
(log base) |
(log.f64 base) |
base |
(+ (* (log base) (log base)) (* 0 0)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(* (log base) (log base)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(* 0 0) |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(/ (/ 1 (log base)) (/ (log base) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)))) |
(/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 2 binary64))) |
(/ 1 (log base)) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
1 |
#s(literal 1 binary64) |
(log base) |
(log.f64 base) |
base |
(/ (log base) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) |
(/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) |
(* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) |
(*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) |
(* 1/2 (log (+ (* re re) (* im im)))) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) |
1/2 |
#s(literal 1/2 binary64) |
(log (+ (* re re) (* im im))) |
(log.f64 (fma.f64 re re (*.f64 im im))) |
(+ (* re re) (* im im)) |
(fma.f64 re re (*.f64 im im)) |
re |
(* im im) |
(*.f64 im im) |
im |
(* (pow (log base) 2) (* (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (pow (log base) -4))) |
(/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 2 binary64))) |
(pow (log base) 2) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(log base) |
(log.f64 base) |
base |
2 |
#s(literal 2 binary64) |
(* (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (pow (log base) -4)) |
(*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -3 binary64)))) |
(* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) |
(*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) |
(* 1/2 (log (+ (* re re) (* im im)))) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) |
1/2 |
#s(literal 1/2 binary64) |
(log (+ (* re re) (* im im))) |
(log.f64 (fma.f64 re re (*.f64 im im))) |
(+ (* re re) (* im im)) |
(fma.f64 re re (*.f64 im im)) |
re |
(* im im) |
(*.f64 im im) |
im |
(pow (log base) -4) |
(pow.f64 (log.f64 base) #s(literal -4 binary64)) |
-4 |
#s(literal -4 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) |
| ✓ | accuracy | 99.2% | (pow.f64 (log.f64 base) #s(literal 2 binary64)) |
| ✓ | accuracy | 98.5% | (pow.f64 (log.f64 base) #s(literal -4 binary64)) |
| ✓ | accuracy | 55.1% | (log.f64 (fma.f64 re re (*.f64 im im))) |
| ✓ | accuracy | 99.4% | (/.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) |
| ✓ | accuracy | 99.4% | (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) |
| ✓ | accuracy | 55.1% | (log.f64 (fma.f64 re re (*.f64 im im))) |
| ✓ | accuracy | 100.0% | (log.f64 base) |
| ✓ | accuracy | 99.4% | (*.f64 (log.f64 im) (log.f64 base)) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| ✓ | accuracy | 99.2% | (*.f64 (log.f64 base) (log.f64 base)) |
| ✓ | accuracy | 100.0% | (log.f64 im) |
| ✓ | accuracy | 100.0% | (log.f64 base) |
| ✓ | accuracy | 99.4% | (/.f64 (log.f64 im) (log.f64 base)) |
| ✓ | accuracy | 100.0% | (log.f64 base) |
| ✓ | accuracy | 99.4% | (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| ✓ | accuracy | 99.4% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| ✓ | accuracy | 99.2% | (*.f64 (log.f64 base) (log.f64 base)) |
| 81.0ms | 256× | 0 | valid |
Compiled 313 to 38 computations (87.9% saved)
ival-mult: 17.0ms (30.3% of total)ival-log: 12.0ms (21.4% of total)ival-div: 9.0ms (16.1% of total)ival-hypot: 7.0ms (12.5% of total)ival-add: 4.0ms (7.1% of total)ival-pow: 3.0ms (5.4% of total)ival-atan2: 2.0ms (3.6% of total)ival-pow2: 2.0ms (3.6% of total)exact: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))> |
#<alt (* (atan2 im re) 0)> |
#<alt (sqrt (+ (* re re) (* im im)))> |
#<alt (* 0 0)> |
#<alt (/ (log im) (log base))> |
#<alt (log im)> |
#<alt (log base)> |
#<alt (/ (* (log im) (log base)) (+ (* (log base) (log base)) (* 0 0)))> |
#<alt (* (log base) (log base))> |
#<alt (+ (* (log base) (log base)) (* 0 0))> |
#<alt (/ (log base) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)))> |
#<alt (/ (/ 1 (log base)) (/ (log base) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))))> |
#<alt (/ 1 (log base))> |
#<alt (* (pow (log base) 2) (* (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (pow (log base) -4)))> |
#<alt (* (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (pow (log base) -4))> |
#<alt (pow (log base) 2)> |
#<alt (* (log (sqrt (+ (* re re) (* im im)))) (log base))> |
#<alt (* (log im) (log base))> |
#<alt (log (+ (* re re) (* im im)))> |
#<alt (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))> |
#<alt (pow (log base) -4)> |
| Outputs |
|---|
#<alt (/ (log im) (log base))> |
#<alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))> |
#<alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))> |
#<alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))> |
#<alt (* -1 (/ (log (/ 1 re)) (log base)))> |
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))> |
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))> |
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))> |
#<alt (* -1 (/ (log (/ -1 re)) (log base)))> |
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))> |
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))> |
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))> |
#<alt (/ (log re) (log base))> |
#<alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))> |
#<alt (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))> |
#<alt (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))> |
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))> |
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))> |
#<alt (* -1 (/ (log (/ -1 im)) (log base)))> |
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))> |
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))> |
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))> |
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt im> |
#<alt (+ im (* 1/2 (/ (pow re 2) im)))> |
#<alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))> |
#<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)))))> |
#<alt re> |
#<alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))> |
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))> |
#<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)))))))> |
#<alt (* -1 re)> |
#<alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))> |
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))> |
#<alt (* -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))))))))> |
#<alt re> |
#<alt (+ re (* 1/2 (/ (pow im 2) re)))> |
#<alt (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))> |
#<alt (+ 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)))))> |
#<alt im> |
#<alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))> |
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))> |
#<alt (* 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)))))))> |
#<alt (* -1 im)> |
#<alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))> |
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))> |
#<alt (* -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))))))))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
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#<alt (* -1 (/ (log (/ -1 re)) (pow (log base) 3)))> |
#<alt (+ (* -1 (/ (log (/ -1 re)) (pow (log base) 3))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3)))))> |
#<alt (+ (* -1 (/ (log (/ -1 re)) (pow (log base) 3))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 3)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3))))))> |
#<alt (+ (* -1 (/ (log (/ -1 re)) (pow (log base) 3))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 3)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (pow (log base) 3)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3)))))))> |
#<alt (* 1/2 (/ (log (pow re 2)) (pow (log base) 3)))> |
#<alt (+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 3))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3)))))> |
#<alt (+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 3))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (pow (log base) 3)))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 3)))))))> |
#<alt (+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 3))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (pow (log base) 3)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log base) 3)))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 3)))))))> |
#<alt (* -1 (/ (log (/ 1 im)) (pow (log base) 3)))> |
#<alt (+ (* -1 (/ (log (/ 1 im)) (pow (log base) 3))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3)))))> |
#<alt (+ (* -1 (/ (log (/ 1 im)) (pow (log base) 3))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 3)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3))))))> |
#<alt (+ (* -1 (/ (log (/ 1 im)) (pow (log base) 3))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 3)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (pow (log base) 3)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3)))))))> |
#<alt (* -1 (/ (log (/ -1 im)) (pow (log base) 3)))> |
#<alt (+ (* -1 (/ (log (/ -1 im)) (pow (log base) 3))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3)))))> |
#<alt (+ (* -1 (/ (log (/ -1 im)) (pow (log base) 3))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 3)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3))))))> |
#<alt (+ (* -1 (/ (log (/ -1 im)) (pow (log base) 3))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 3)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (pow (log base) 3)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3)))))))> |
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 3)))> |
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 3)))> |
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 3)))> |
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 3)))> |
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 3)))> |
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 3)))> |
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 3)))> |
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 3)))> |
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))> |
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))> |
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))> |
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))> |
#<alt (pow (log base) 2)> |
#<alt (pow (log base) 2)> |
#<alt (pow (log base) 2)> |
#<alt (pow (log base) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (* (log base) (log im))> |
#<alt (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))> |
#<alt (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))> |
#<alt (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))> |
#<alt (* -1 (* (log base) (log (/ 1 re))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))> |
#<alt (* -1 (* (log base) (log (/ -1 re))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))> |
#<alt (* (log base) (log re))> |
#<alt (+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))> |
#<alt (+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))> |
#<alt (+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))> |
#<alt (* -1 (* (log base) (log (/ 1 im))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))> |
#<alt (* -1 (* (log base) (log (/ -1 im))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log base) (log im))> |
#<alt (* (log base) (log im))> |
#<alt (* (log base) (log im))> |
#<alt (* (log base) (log im))> |
#<alt (* -1 (* (log base) (log (/ 1 im))))> |
#<alt (* -1 (* (log base) (log (/ 1 im))))> |
#<alt (* -1 (* (log base) (log (/ 1 im))))> |
#<alt (* -1 (* (log base) (log (/ 1 im))))> |
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (* (log base) (log im))> |
#<alt (* (log base) (log im))> |
#<alt (* (log base) (log im))> |
#<alt (* (log base) (log im))> |
#<alt (* -1 (* (log im) (log (/ 1 base))))> |
#<alt (* -1 (* (log im) (log (/ 1 base))))> |
#<alt (* -1 (* (log im) (log (/ 1 base))))> |
#<alt (* -1 (* (log im) (log (/ 1 base))))> |
#<alt (* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (log (pow im 2))> |
#<alt (+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))> |
#<alt (+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))> |
#<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)))))> |
#<alt (* -2 (log (/ 1 re)))> |
#<alt (+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))> |
#<alt (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))> |
#<alt (+ (* -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)))))> |
#<alt (* -2 (log (/ -1 re)))> |
#<alt (+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))> |
#<alt (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))> |
#<alt (+ (* -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)))))> |
#<alt (log (pow re 2))> |
#<alt (+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))> |
#<alt (+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))> |
#<alt (+ (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)))))> |
#<alt (* -2 (log (/ 1 im)))> |
#<alt (+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))> |
#<alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))> |
#<alt (+ (* -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)))))> |
#<alt (* -2 (log (/ -1 im)))> |
#<alt (+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))> |
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))> |
#<alt (+ (* -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)))))> |
#<alt (* 1/2 (* (log base) (log (pow im 2))))> |
#<alt (+ (* 1/2 (* (log base) (log (pow im 2)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))> |
#<alt (+ (* 1/2 (* (log base) (log (pow im 2)))) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))> |
#<alt (+ (* 1/2 (* (log base) (log (pow im 2)))) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))> |
#<alt (* -1 (* (log base) (log (/ 1 re))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/6 (/ (* (pow im 6) (log base)) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))> |
#<alt (* -1 (* (log base) (log (/ -1 re))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/6 (/ (* (pow im 6) (log base)) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))> |
#<alt (* 1/2 (* (log base) (log (pow re 2))))> |
#<alt (+ (* 1/2 (* (log base) (log (pow re 2)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))> |
#<alt (+ (* 1/2 (* (log base) (log (pow re 2)))) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))> |
#<alt (+ (* 1/2 (* (log base) (log (pow re 2)))) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))> |
#<alt (* -1 (* (log base) (log (/ 1 im))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/6 (/ (* (pow re 6) (log base)) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))> |
#<alt (* -1 (* (log base) (log (/ -1 im))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/6 (/ (* (pow re 6) (log base)) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))> |
#<alt (* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2)))))> |
#<alt (* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2)))))> |
#<alt (* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2)))))> |
#<alt (* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2)))))> |
#<alt (* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))> |
#<alt (* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))> |
#<alt (* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))> |
#<alt (* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))> |
#<alt (* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))> |
#<alt (* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))> |
#<alt (* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))> |
#<alt (* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))> |
#<alt (/ 1 (pow (log base) 4))> |
#<alt (/ 1 (pow (log base) 4))> |
#<alt (/ 1 (pow (log base) 4))> |
#<alt (/ 1 (pow (log base) 4))> |
#<alt (/ 1 (pow (log (/ 1 base)) 4))> |
#<alt (/ 1 (pow (log (/ 1 base)) 4))> |
#<alt (/ 1 (pow (log (/ 1 base)) 4))> |
#<alt (/ 1 (pow (log (/ 1 base)) 4))> |
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))> |
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))> |
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))> |
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))> |
120 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | im | @ | 0 | (/ (log im) (log base)) |
| 18.0ms | base | @ | 0 | (/ (log base) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) |
| 12.0ms | base | @ | 0 | (/ (log im) (log base)) |
| 10.0ms | im | @ | -inf | (/ (log im) (log base)) |
| 7.0ms | im | @ | inf | (/ (log im) (log base)) |
| 1× | batch-egg-rewrite |
| 5 950× | accelerator-lowering-fma.f32 |
| 5 950× | accelerator-lowering-fma.f64 |
| 5 344× | *-lowering-*.f32 |
| 5 344× | *-lowering-*.f64 |
| 3 802× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 172 |
| 1 | 160 | 164 |
| 2 | 1154 | 141 |
| 0 | 8881 | 101 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) |
(* (atan2 im re) 0) |
(sqrt (+ (* re re) (* im im))) |
(* 0 0) |
(/ (log im) (log base)) |
(log im) |
(log base) |
(/ (* (log im) (log base)) (+ (* (log base) (log base)) (* 0 0))) |
(* (log base) (log base)) |
(+ (* (log base) (log base)) (* 0 0)) |
(/ (log base) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) |
(/ (/ 1 (log base)) (/ (log base) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)))) |
(/ 1 (log base)) |
(* (pow (log base) 2) (* (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (pow (log base) -4))) |
(* (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (pow (log base) -4)) |
(pow (log base) 2) |
(* (log (sqrt (+ (* re re) (* im im)))) (log base)) |
(* (log im) (log base)) |
(log (+ (* re re) (* im im))) |
(* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) |
(pow (log base) -4) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 0 binary64)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))) |
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(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) (/.f64 (*.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im)))))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) |
(*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(*.f64 (*.f64 (log.f64 base) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im))))))) |
(*.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (neg.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -3 binary64)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64))))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (pow.f64 (log.f64 base) #s(literal -3 binary64)))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -3 binary64)))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (pow.f64 (log.f64 base) #s(literal -3 binary64))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im))))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 4 binary64))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im))))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 #s(literal -4 binary64) (log.f64 (log.f64 base)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 #s(literal -2 binary64) (log.f64 (log.f64 base)) (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) |
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 base)) |
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (neg.f64 (log.f64 base))) |
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (neg.f64 (log.f64 base))) |
(pow.f64 (log.f64 base) #s(literal -4 binary64)) |
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -4 binary64)) (log.f64 (log.f64 base))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -3 binary64))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -4 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) |
| 1× | egg-herbie |
| 8 526× | accelerator-lowering-fma.f32 |
| 8 526× | accelerator-lowering-fma.f64 |
| 5 988× | *-lowering-*.f32 |
| 5 988× | *-lowering-*.f64 |
| 3 394× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 767 | 8250 |
| 1 | 2130 | 8085 |
| 2 | 7074 | 8006 |
| 0 | 8111 | 7543 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (log im) (log base)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(* -1 (/ (log (/ 1 re)) (log base))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(* -1 (/ (log (/ -1 re)) (log base))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(/ (log re) (log base)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
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))))) |
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 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)))))))) |
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))))) |
im |
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(* -1 im) |
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
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(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
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(/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))) |
(log im) |
(log im) |
(log im) |
(log im) |
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(log base) |
(log base) |
(log base) |
(log base) |
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(/ (log im) (log base)) |
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(/ (log im) (log base)) |
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(* -1 (/ (log (/ 1 im)) (log base))) |
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(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
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(/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(/ 2 (log (+ (pow im 2) (pow re 2)))) |
(/ 2 (log (+ (pow im 2) (pow re 2)))) |
(/ 2 (log (+ (pow im 2) (pow re 2)))) |
(/ 2 (log (+ (pow im 2) (pow re 2)))) |
(/ 2 (log (+ (pow im 2) (pow re 2)))) |
(/ 2 (log (+ (pow im 2) (pow re 2)))) |
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(/ 2 (log (+ (pow im 2) (pow re 2)))) |
(/ 2 (log (+ (pow im 2) (pow re 2)))) |
(/ 2 (log (+ (pow im 2) (pow re 2)))) |
(/ 2 (log (+ (pow im 2) (pow re 2)))) |
(/ 2 (log (+ (pow im 2) (pow re 2)))) |
(/ 2 (log (pow im 2))) |
(+ (* -2 (/ (pow re 2) (* (pow im 2) (pow (log (pow im 2)) 2)))) (* 2 (/ 1 (log (pow im 2))))) |
(+ (* (pow re 2) (- (* (pow re 2) (+ (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2))) (* 2 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 3)))))) (* 2 (/ 1 (* (pow im 2) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (log (pow im 2))))) |
(+ (* (pow re 2) (- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 2/3 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 2)))) (+ (* 2 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 3)))) (* 2 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 4)))))))) (+ (* 2 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 3)))) (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (* (pow im 2) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (log (pow im 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))) (+ (* 1/6 (/ (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))))))) |
(/ -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))) (+ (* 1/6 (/ (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))))))) |
(/ 2 (log (pow re 2))) |
(+ (* -2 (/ (pow im 2) (* (pow re 2) (pow (log (pow re 2)) 2)))) (* 2 (/ 1 (log (pow re 2))))) |
(+ (* (pow im 2) (- (* (pow im 2) (+ (/ 1 (* (pow re 4) (pow (log (pow re 2)) 2))) (* 2 (/ 1 (* (pow re 4) (pow (log (pow re 2)) 3)))))) (* 2 (/ 1 (* (pow re 2) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (log (pow re 2))))) |
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1 (* (pow im 2) (+ (* 2/3 (/ 1 (* (pow re 6) (pow (log (pow re 2)) 2)))) (+ (* 2 (/ 1 (* (pow re 6) (pow (log (pow re 2)) 3)))) (* 2 (/ 1 (* (pow re 6) (pow (log (pow re 2)) 4)))))))) (+ (* 2 (/ 1 (* (pow re 4) (pow (log (pow re 2)) 3)))) (/ 1 (* (pow re 4) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (* (pow re 2) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (log (pow re 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))) (+ (* 1/6 (/ (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))) |
(- (* -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))) (+ (* 1/6 (/ (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))))))) |
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base))) |
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base))) |
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base))) |
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base))) |
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base)))) |
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base)))) |
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base)))) |
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base)))) |
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))) |
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))) |
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))) |
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))) |
(* 1/2 (/ (log (pow im 2)) (log base))) |
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base))))))) |
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base))))))) |
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(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(* -1 (/ (log (/ -1 re)) (log base))) |
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(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(* 1/2 (/ (log (pow re 2)) (log base))) |
(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base))))))) |
(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base))))))) |
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(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(/ 1 (log base)) |
(/ 1 (log base)) |
(/ 1 (log base)) |
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(/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) |
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(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base))) |
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(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base))))))) |
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base))))))) |
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(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base))))))) |
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(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
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(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* 1/2 (/ (log (pow im 2)) (pow (log base) 3))) |
(+ (* 1/2 (/ (log (pow im 2)) (pow (log base) 3))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3))))) |
(+ (* 1/2 (/ (log (pow im 2)) (pow (log base) 3))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (pow (log base) 3)))) (* 1/2 (/ 1 (* (pow im 2) (pow (log base) 3))))))) |
(+ (* 1/2 (/ (log (pow im 2)) (pow (log base) 3))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (pow (log base) 3)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log base) 3)))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log base) 3))))))) |
(* -1 (/ (log (/ 1 re)) (pow (log base) 3))) |
(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 3))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3))))) |
(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 3))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 3)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3)))))) |
(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 3))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 3)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (pow (log base) 3)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3))))))) |
(* -1 (/ (log (/ -1 re)) (pow (log base) 3))) |
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 3))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3))))) |
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 3))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 3)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3)))))) |
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 3))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 3)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (pow (log base) 3)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3))))))) |
(* 1/2 (/ (log (pow re 2)) (pow (log base) 3))) |
(+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 3))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 3))))) |
(+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 3))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (pow (log base) 3)))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 3))))))) |
(+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 3))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (pow (log base) 3)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log base) 3)))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 3))))))) |
(* -1 (/ (log (/ 1 im)) (pow (log base) 3))) |
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 3))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3))))) |
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 3))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 3)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3)))))) |
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 3))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 3)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (pow (log base) 3)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3))))))) |
(* -1 (/ (log (/ -1 im)) (pow (log base) 3))) |
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 3))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3))))) |
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 3))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 3)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3)))))) |
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 3))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 3)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (pow (log base) 3)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 3))))))) |
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 3))) |
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 3))) |
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 3))) |
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 3))) |
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 3))) |
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 3))) |
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 3))) |
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 3))) |
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))) |
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))) |
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))) |
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(* (log base) (log im)) |
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im))) |
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2)))))) |
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6)))))))) |
(* -1 (* (log base) (log (/ 1 re)))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
(* -1 (* (log base) (log (/ -1 re)))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
(* (log base) (log re)) |
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re))) |
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2)))))) |
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6)))))))) |
(* -1 (* (log base) (log (/ 1 im)))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(* -1 (* (log base) (log (/ -1 im)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log base) (log im)) |
(* (log base) (log im)) |
(* (log base) (log im)) |
(* (log base) (log im)) |
(* -1 (* (log base) (log (/ 1 im)))) |
(* -1 (* (log base) (log (/ 1 im)))) |
(* -1 (* (log base) (log (/ 1 im)))) |
(* -1 (* (log base) (log (/ 1 im)))) |
(* (log base) (+ (log -1) (* -1 (log (/ -1 im))))) |
(* (log base) (+ (log -1) (* -1 (log (/ -1 im))))) |
(* (log base) (+ (log -1) (* -1 (log (/ -1 im))))) |
(* (log base) (+ (log -1) (* -1 (log (/ -1 im))))) |
(* (log base) (log im)) |
(* (log base) (log im)) |
(* (log base) (log im)) |
(* (log base) (log im)) |
(* -1 (* (log im) (log (/ 1 base)))) |
(* -1 (* (log im) (log (/ 1 base)))) |
(* -1 (* (log im) (log (/ 1 base)))) |
(* -1 (* (log im) (log (/ 1 base)))) |
(* (log im) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log im) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log im) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log im) (+ (log -1) (* -1 (log (/ -1 base))))) |
(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 (/ 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))))) |
(* -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))))) |
(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))))) |
(* -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 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))))) |
(* 1/2 (* (log base) (log (pow im 2)))) |
(+ (* 1/2 (* (log base) (log (pow im 2)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(+ (* 1/2 (* (log base) (log (pow im 2)))) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2)))))) |
(+ (* 1/2 (* (log base) (log (pow im 2)))) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6)))))))) |
(* -1 (* (log base) (log (/ 1 re)))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/6 (/ (* (pow im 6) (log base)) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
(* -1 (* (log base) (log (/ -1 re)))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/6 (/ (* (pow im 6) (log base)) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
(* 1/2 (* (log base) (log (pow re 2)))) |
(+ (* 1/2 (* (log base) (log (pow re 2)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) |
(+ (* 1/2 (* (log base) (log (pow re 2)))) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2)))))) |
(+ (* 1/2 (* (log base) (log (pow re 2)))) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6)))))))) |
(* -1 (* (log base) (log (/ 1 im)))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/6 (/ (* (pow re 6) (log base)) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(* -1 (* (log base) (log (/ -1 im)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/6 (/ (* (pow re 6) (log base)) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2))))) |
(* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2))))) |
(* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2))))) |
(* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2))))) |
(* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base)))) |
(* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base)))) |
(* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base)))) |
(* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base)))) |
(* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))) |
(* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))) |
(* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))) |
(* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))) |
(/ 1 (pow (log base) 4)) |
(/ 1 (pow (log base) 4)) |
(/ 1 (pow (log base) 4)) |
(/ 1 (pow (log base) 4)) |
(/ 1 (pow (log (/ 1 base)) 4)) |
(/ 1 (pow (log (/ 1 base)) 4)) |
(/ 1 (pow (log (/ 1 base)) 4)) |
(/ 1 (pow (log (/ 1 base)) 4)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)) |
| Outputs |
|---|
(/ (log im) (log base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base))) |
(fma.f64 (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) im) im)) (/.f64 (log.f64 im) (log.f64 base))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(fma.f64 (*.f64 re re) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) im) im))) (/.f64 (log.f64 im) (log.f64 base))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(fma.f64 (*.f64 re re) (fma.f64 re (*.f64 re (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) im) im))) (/.f64 (log.f64 im) (log.f64 base))) |
(* -1 (/ (log (/ 1 re)) (log base))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (log.f64 re) (log.f64 base))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 (log.f64 re) (log.f64 base)))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re))))))) |
(* -1 (/ (log (/ -1 re)) (log base))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
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re |
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re |
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im |
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(fma.f64 (*.f64 re re) (/.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 im im)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (fma.f64 (*.f64 re re) (/.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 im im)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/6 (/ (* (pow re 6) (log base)) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(fma.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) (/.f64 (*.f64 re re) (*.f64 im im))) (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (log.f64 base)) (pow.f64 im #s(literal 6 binary64)))))) |
(* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2))))) |
(*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) |
(* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2))))) |
(*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) |
(* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2))))) |
(*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) |
(* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2))))) |
(*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) |
(* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 base))) (log.f64 (fma.f64 im im (*.f64 re re)))) |
(* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 base))) (log.f64 (fma.f64 im im (*.f64 re re)))) |
(* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 base))) (log.f64 (fma.f64 im im (*.f64 re re)))) |
(* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 base))) (log.f64 (fma.f64 im im (*.f64 re re)))) |
(* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))) |
(* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))) |
(* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))) |
(* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))) |
(/ 1 (pow (log base) 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(/ 1 (pow (log base) 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(/ 1 (pow (log base) 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(/ 1 (pow (log base) 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(/ 1 (pow (log (/ 1 base)) 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))) |
(/ 1 (pow (log (/ 1 base)) 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))) |
(/ 1 (pow (log (/ 1 base)) 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))) |
(/ 1 (pow (log (/ 1 base)) 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64))) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64))) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64))) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64))) |
Compiled 152 307 to 7 047 computations (95.4% saved)
39 alts after pruning (38 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 5 488 | 37 | 5 525 |
| Fresh | 15 | 1 | 16 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 5 507 | 39 | 5 546 |
| Status | Accuracy | Program |
|---|---|---|
| 53.2% | (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64)))) | |
| 98.0% | (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 im)))) | |
| ▶ | 98.2% | (/.f64 (/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (log.f64 base)) (neg.f64 (log.f64 base))) |
| 48.7% | (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) | |
| 98.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base)) | |
| 98.0% | (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 (log.f64 im) (log.f64 base)))) | |
| 98.1% | (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im))) | |
| 54.5% | (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base))) | |
| 36.1% | (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1 binary64)))) | |
| 99.1% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base))) | |
| 99.1% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) | |
| ▶ | 99.2% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| 98.1% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)) | |
| 98.1% | (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) | |
| 98.1% | (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) | |
| 98.0% | (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) | |
| 48.0% | (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))))) | |
| 98.0% | (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 base))) | |
| 54.7% | (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) | |
| 48.8% | (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) | |
| 98.3% | (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))) | |
| 48.7% | (/.f64 (log.f64 im) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))) | |
| 98.2% | (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) | |
| 98.1% | (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) | |
| ✓ | 98.3% | (/.f64 (log.f64 im) (log.f64 base)) |
| 48.4% | (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) | |
| 98.2% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))) | |
| 53.1% | (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im)))))) | |
| 98.1% | (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) | |
| ▶ | 98.1% | (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 im))) |
| 98.1% | (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) | |
| 98.0% | (*.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 im))) | |
| 98.1% | (*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (log.f64 im)))) | |
| ▶ | 98.1% | (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)) |
| 98.1% | (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) (log.f64 base)) | |
| ▶ | 98.1% | (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
| 54.6% | (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) | |
| 98.0% | (*.f64 (neg.f64 (log.f64 im)) (*.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))) | |
| 46.9% | (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))) |
Compiled 1 220 to 834 computations (31.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 (log.f64 base) #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (log.f64 im) |
| ✓ | cost-diff | 0 | (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3 binary64))) |
| ✓ | cost-diff | 19264 | (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (log.f64 base) |
| ✓ | cost-diff | 0 | (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) |
| ✓ | cost-diff | 256 | (/.f64 (/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (log.f64 base)) (neg.f64 (log.f64 base))) |
| ✓ | cost-diff | 13824 | (/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (log.f64 base)) |
| ✓ | cost-diff | 0 | (*.f64 (log.f64 base) (log.f64 im)) |
| ✓ | cost-diff | 0 | (log.f64 base) |
| ✓ | cost-diff | 0 | (pow.f64 (log.f64 base) #s(literal -2 binary64)) |
| ✓ | cost-diff | 12800 | (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 im))) |
| ✓ | cost-diff | 0 | (log.f64 im) |
| ✓ | cost-diff | 0 | (log.f64 base) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (log.f64 base)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)) |
| ✓ | cost-diff | 256 | (*.f64 (log.f64 base) (log.f64 base)) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
| ✓ | cost-diff | 5120 | (hypot.f64 re im) |
| ✓ | cost-diff | 13184 | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| 45 252× | accelerator-lowering-fma.f32 |
| 45 252× | accelerator-lowering-fma.f64 |
| 3 932× | +-lowering-+.f64 |
| 3 932× | +-lowering-+.f32 |
| 3 258× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 184 |
| 1 | 67 | 176 |
| 2 | 163 | 161 |
| 3 | 577 | 159 |
| 4 | 1722 | 159 |
| 5 | 3041 | 159 |
| 6 | 3989 | 159 |
| 7 | 4575 | 159 |
| 8 | 5008 | 159 |
| 9 | 5559 | 159 |
| 0 | 8029 | 134 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 0) (+ (* (log base) (log base)) (* 0 0))) |
(+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 0) |
(* (log (sqrt (+ (* re re) (* im im)))) (log base)) |
(log (sqrt (+ (* re re) (* im im)))) |
(sqrt (+ (* re re) (* im im))) |
re |
im |
(log base) |
base |
0 |
(+ (* (log base) (log base)) (* 0 0)) |
(* (log base) (log base)) |
(* 0 0) |
(* (/ 1 (log base)) (log im)) |
(/ 1 (log base)) |
1 |
(log base) |
base |
(log im) |
im |
(* (pow (log base) -2) (* (log base) (log im))) |
(pow (log base) -2) |
(log base) |
base |
-2 |
(* (log base) (log im)) |
(log im) |
im |
(/ (/ (* (log base) (neg (log im))) (log base)) (neg (log base))) |
(/ (* (log base) (neg (log im))) (log base)) |
(* (log base) (neg (log im))) |
(log base) |
base |
(neg (log im)) |
(log im) |
im |
(neg (log base)) |
(* (* (log im) (pow (log base) -3)) (pow (log base) 2)) |
(* (log im) (pow (log base) -3)) |
(log im) |
im |
(pow (log base) -3) |
(log base) |
base |
-3 |
(pow (log base) 2) |
2 |
| Outputs |
|---|
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 0) (+ (* (log base) (log base)) (* 0 0))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) |
(+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 0) |
(*.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) |
(* (log (sqrt (+ (* re re) (* im im)))) (log base)) |
(*.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) |
(log (sqrt (+ (* re re) (* im im)))) |
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) |
(sqrt (+ (* re re) (* im im))) |
(sqrt.f64 (fma.f64 re re (*.f64 im im))) |
re |
im |
(log base) |
(log.f64 base) |
base |
0 |
#s(literal 0 binary64) |
(+ (* (log base) (log base)) (* 0 0)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(* (log base) (log base)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(* 0 0) |
#s(literal 0 binary64) |
(* (/ 1 (log base)) (log im)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/ 1 (log base)) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
1 |
#s(literal 1 binary64) |
(log base) |
(log.f64 base) |
base |
(log im) |
(log.f64 im) |
im |
(* (pow (log base) -2) (* (log base) (log im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow (log base) -2) |
(pow.f64 (log.f64 base) #s(literal -2 binary64)) |
(log base) |
(log.f64 base) |
base |
-2 |
#s(literal -2 binary64) |
(* (log base) (log im)) |
(*.f64 (log.f64 base) (log.f64 im)) |
(log im) |
(log.f64 im) |
im |
(/ (/ (* (log base) (neg (log im))) (log base)) (neg (log base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/ (* (log base) (neg (log im))) (log base)) |
(neg.f64 (log.f64 im)) |
(* (log base) (neg (log im))) |
(neg.f64 (*.f64 (log.f64 base) (log.f64 im))) |
(log base) |
(log.f64 base) |
base |
(neg (log im)) |
(neg.f64 (log.f64 im)) |
(log im) |
(log.f64 im) |
im |
(neg (log base)) |
(neg.f64 (log.f64 base)) |
(* (* (log im) (pow (log base) -3)) (pow (log base) 2)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(* (log im) (pow (log base) -3)) |
(*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3 binary64))) |
(log im) |
(log.f64 im) |
im |
(pow (log base) -3) |
(pow.f64 (log.f64 base) #s(literal -3 binary64)) |
(log base) |
(log.f64 base) |
base |
-3 |
#s(literal -3 binary64) |
(pow (log base) 2) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3 binary64))) |
| ✓ | accuracy | 99.2% | (pow.f64 (log.f64 base) #s(literal 2 binary64)) |
| ✓ | accuracy | 98.8% | (pow.f64 (log.f64 base) #s(literal -3 binary64)) |
| ✓ | accuracy | 100.0% | (log.f64 base) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (log.f64 base)) |
| ✓ | accuracy | 99.4% | (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) |
| ✓ | accuracy | 99.4% | (/.f64 (/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (log.f64 base)) (neg.f64 (log.f64 base))) |
| ✓ | accuracy | 100.0% | (log.f64 base) |
| ✓ | accuracy | 99.4% | (*.f64 (log.f64 base) (log.f64 im)) |
| ✓ | accuracy | 99.4% | (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 im))) |
| ✓ | accuracy | 99.1% | (pow.f64 (log.f64 base) #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (log.f64 im) |
| ✓ | accuracy | 100.0% | (log.f64 base) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (log.f64 base)) |
| ✓ | accuracy | 99.3% | (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)) |
| ✓ | accuracy | 100.0% | (log.f64 base) |
| ✓ | accuracy | 99.4% | (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| ✓ | accuracy | 99.4% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| ✓ | accuracy | 99.2% | (*.f64 (log.f64 base) (log.f64 base)) |
| 91.0ms | 256× | 0 | valid |
Compiled 186 to 34 computations (81.7% saved)
ival-hypot: 22.0ms (31.9% of total)ival-div: 13.0ms (18.8% of total)ival-mult: 12.0ms (17.4% of total)ival-log: 9.0ms (13% of total)ival-pow: 7.0ms (10.1% of total)ival-add: 2.0ms (2.9% of total)ival-pow2: 2.0ms (2.9% of total)ival-neg: 2.0ms (2.9% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 0) (+ (* (log base) (log base)) (* 0 0)))> |
#<alt (sqrt (+ (* re re) (* im im)))> |
#<alt (* 0 0)> |
#<alt (* (log base) (log base))> |
#<alt (* (/ 1 (log base)) (log im))> |
#<alt (/ 1 (log base))> |
#<alt (log base)> |
#<alt (log im)> |
#<alt (* (pow (log base) -2) (* (log base) (log im)))> |
#<alt (pow (log base) -2)> |
#<alt (* (log base) (log im))> |
#<alt (/ (* (log base) (neg (log im))) (log base))> |
#<alt (/ (/ (* (log base) (neg (log im))) (log base)) (neg (log base)))> |
#<alt (* (log base) (neg (log im)))> |
#<alt (* (* (log im) (pow (log base) -3)) (pow (log base) 2))> |
#<alt (* (log im) (pow (log base) -3))> |
#<alt (pow (log base) -3)> |
#<alt (* (log (sqrt (+ (* re re) (* im im)))) (log base))> |
#<alt (pow (log base) 2)> |
| Outputs |
|---|
#<alt (/ (log im) (log base))> |
#<alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))> |
#<alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))> |
#<alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))> |
#<alt (* -1 (/ (log (/ 1 re)) (log base)))> |
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))> |
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))> |
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))> |
#<alt (* -1 (/ (log (/ -1 re)) (log base)))> |
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))> |
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))> |
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))> |
#<alt (/ (log re) (log base))> |
#<alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))> |
#<alt (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))> |
#<alt (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))> |
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))> |
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))> |
#<alt (* -1 (/ (log (/ -1 im)) (log base)))> |
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))> |
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))> |
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))> |
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt im> |
#<alt (+ im (* 1/2 (/ (pow re 2) im)))> |
#<alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))> |
#<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)))))> |
#<alt re> |
#<alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))> |
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))> |
#<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)))))))> |
#<alt (* -1 re)> |
#<alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))> |
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))> |
#<alt (* -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))))))))> |
#<alt re> |
#<alt (+ re (* 1/2 (/ (pow im 2) re)))> |
#<alt (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))> |
#<alt (+ 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)))))> |
#<alt im> |
#<alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))> |
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))> |
#<alt (* 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)))))))> |
#<alt (* -1 im)> |
#<alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))> |
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))> |
#<alt (* -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))))))))> |
#<alt (pow (log base) 2)> |
#<alt (pow (log base) 2)> |
#<alt (pow (log base) 2)> |
#<alt (pow (log base) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ 1 (log base))> |
#<alt (/ 1 (log base))> |
#<alt (/ 1 (log base))> |
#<alt (/ 1 (log base))> |
#<alt (/ -1 (log (/ 1 base)))> |
#<alt (/ -1 (log (/ 1 base)))> |
#<alt (/ -1 (log (/ 1 base)))> |
#<alt (/ -1 (log (/ 1 base)))> |
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (log base)> |
#<alt (log base)> |
#<alt (log base)> |
#<alt (log base)> |
#<alt (* -1 (log (/ 1 base)))> |
#<alt (* -1 (log (/ 1 base)))> |
#<alt (* -1 (log (/ 1 base)))> |
#<alt (* -1 (log (/ 1 base)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 base))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 base))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 base))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 base))))> |
#<alt (log im)> |
#<alt (log im)> |
#<alt (log im)> |
#<alt (log im)> |
#<alt (* -1 (log (/ 1 im)))> |
#<alt (* -1 (log (/ 1 im)))> |
#<alt (* -1 (log (/ 1 im)))> |
#<alt (* -1 (log (/ 1 im)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 im))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 im))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 im))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 im))))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ 1 (pow (log base) 2))> |
#<alt (/ 1 (pow (log base) 2))> |
#<alt (/ 1 (pow (log base) 2))> |
#<alt (/ 1 (pow (log base) 2))> |
#<alt (/ 1 (pow (log (/ 1 base)) 2))> |
#<alt (/ 1 (pow (log (/ 1 base)) 2))> |
#<alt (/ 1 (pow (log (/ 1 base)) 2))> |
#<alt (/ 1 (pow (log (/ 1 base)) 2))> |
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))> |
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))> |
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))> |
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))> |
#<alt (* (log base) (log im))> |
#<alt (* (log base) (log im))> |
#<alt (* (log base) (log im))> |
#<alt (* (log base) (log im))> |
#<alt (* -1 (* (log im) (log (/ 1 base))))> |
#<alt (* -1 (* (log im) (log (/ 1 base))))> |
#<alt (* -1 (* (log im) (log (/ 1 base))))> |
#<alt (* -1 (* (log im) (log (/ 1 base))))> |
#<alt (* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log base) (log im))> |
#<alt (* (log base) (log im))> |
#<alt (* (log base) (log im))> |
#<alt (* (log base) (log im))> |
#<alt (* -1 (* (log base) (log (/ 1 im))))> |
#<alt (* -1 (* (log base) (log (/ 1 im))))> |
#<alt (* -1 (* (log base) (log (/ 1 im))))> |
#<alt (* -1 (* (log base) (log (/ 1 im))))> |
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (* -1 (log im))> |
#<alt (* -1 (log im))> |
#<alt (* -1 (log im))> |
#<alt (* -1 (log im))> |
#<alt (* -1 (log im))> |
#<alt (* -1 (log im))> |
#<alt (* -1 (log im))> |
#<alt (* -1 (log im))> |
#<alt (* -1 (log im))> |
#<alt (* -1 (log im))> |
#<alt (* -1 (log im))> |
#<alt (* -1 (log im))> |
#<alt (* -1 (log im))> |
#<alt (* -1 (log im))> |
#<alt (* -1 (log im))> |
#<alt (* -1 (log im))> |
#<alt (log (/ 1 im))> |
#<alt (log (/ 1 im))> |
#<alt (log (/ 1 im))> |
#<alt (log (/ 1 im))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (* -1 (* (log base) (log im)))> |
#<alt (* -1 (* (log base) (log im)))> |
#<alt (* -1 (* (log base) (log im)))> |
#<alt (* -1 (* (log base) (log im)))> |
#<alt (* (log im) (log (/ 1 base)))> |
#<alt (* (log im) (log (/ 1 base)))> |
#<alt (* (log im) (log (/ 1 base)))> |
#<alt (* (log im) (log (/ 1 base)))> |
#<alt (* -1 (* (log im) (+ (log -1) (* -1 (log (/ -1 base))))))> |
#<alt (* -1 (* (log im) (+ (log -1) (* -1 (log (/ -1 base))))))> |
#<alt (* -1 (* (log im) (+ (log -1) (* -1 (log (/ -1 base))))))> |
#<alt (* -1 (* (log im) (+ (log -1) (* -1 (log (/ -1 base))))))> |
#<alt (* -1 (* (log base) (log im)))> |
#<alt (* -1 (* (log base) (log im)))> |
#<alt (* -1 (* (log base) (log im)))> |
#<alt (* -1 (* (log base) (log im)))> |
#<alt (* (log base) (log (/ 1 im)))> |
#<alt (* (log base) (log (/ 1 im)))> |
#<alt (* (log base) (log (/ 1 im)))> |
#<alt (* (log base) (log (/ 1 im)))> |
#<alt (* -1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))))> |
#<alt (* -1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))))> |
#<alt (* -1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))))> |
#<alt (* -1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (pow (log base) 3))> |
#<alt (/ (log im) (pow (log base) 3))> |
#<alt (/ (log im) (pow (log base) 3))> |
#<alt (/ (log im) (pow (log base) 3))> |
#<alt (* -1 (/ (log (/ 1 im)) (pow (log base) 3)))> |
#<alt (* -1 (/ (log (/ 1 im)) (pow (log base) 3)))> |
#<alt (* -1 (/ (log (/ 1 im)) (pow (log base) 3)))> |
#<alt (* -1 (/ (log (/ 1 im)) (pow (log base) 3)))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 3))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 3))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 3))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 3))> |
#<alt (/ (log im) (pow (log base) 3))> |
#<alt (/ (log im) (pow (log base) 3))> |
#<alt (/ (log im) (pow (log base) 3))> |
#<alt (/ (log im) (pow (log base) 3))> |
#<alt (* -1 (/ (log im) (pow (log (/ 1 base)) 3)))> |
#<alt (* -1 (/ (log im) (pow (log (/ 1 base)) 3)))> |
#<alt (* -1 (/ (log im) (pow (log (/ 1 base)) 3)))> |
#<alt (* -1 (/ (log im) (pow (log (/ 1 base)) 3)))> |
#<alt (/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))> |
#<alt (/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))> |
#<alt (/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))> |
#<alt (/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))> |
#<alt (/ 1 (pow (log base) 3))> |
#<alt (/ 1 (pow (log base) 3))> |
#<alt (/ 1 (pow (log base) 3))> |
#<alt (/ 1 (pow (log base) 3))> |
#<alt (/ -1 (pow (log (/ 1 base)) 3))> |
#<alt (/ -1 (pow (log (/ 1 base)) 3))> |
#<alt (/ -1 (pow (log (/ 1 base)) 3))> |
#<alt (/ -1 (pow (log (/ 1 base)) 3))> |
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))> |
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))> |
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))> |
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))> |
#<alt (* (log base) (log im))> |
#<alt (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))> |
#<alt (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))> |
#<alt (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))> |
#<alt (* -1 (* (log base) (log (/ 1 re))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))> |
#<alt (* -1 (* (log base) (log (/ -1 re))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))> |
#<alt (* (log base) (log re))> |
#<alt (+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))> |
#<alt (+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))> |
#<alt (+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))> |
#<alt (* -1 (* (log base) (log (/ 1 im))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))> |
#<alt (* -1 (* (log base) (log (/ -1 im))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (pow (log base) 2)> |
#<alt (pow (log base) 2)> |
#<alt (pow (log base) 2)> |
#<alt (pow (log base) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | im | @ | inf | (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 0) (+ (* (log base) (log base)) (* 0 0))) |
| 1.0ms | im | @ | 0 | (* (log im) (pow (log base) -3)) |
| 0.0ms | base | @ | -inf | (pow (log base) -3) |
| 0.0ms | base | @ | -inf | (* (log im) (pow (log base) -3)) |
| 0.0ms | base | @ | -inf | (pow (log base) -2) |
| 1× | batch-egg-rewrite |
| 5 982× | accelerator-lowering-fma.f32 |
| 5 982× | accelerator-lowering-fma.f64 |
| 5 006× | *-lowering-*.f32 |
| 5 006× | *-lowering-*.f64 |
| 3 506× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 117 |
| 1 | 154 | 106 |
| 2 | 1132 | 98 |
| 0 | 8712 | 83 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 0) (+ (* (log base) (log base)) (* 0 0))) |
(sqrt (+ (* re re) (* im im))) |
(* 0 0) |
(* (log base) (log base)) |
(* (/ 1 (log base)) (log im)) |
(/ 1 (log base)) |
(log base) |
(log im) |
(* (pow (log base) -2) (* (log base) (log im))) |
(pow (log base) -2) |
(* (log base) (log im)) |
(/ (* (log base) (neg (log im))) (log base)) |
(/ (/ (* (log base) (neg (log im))) (log base)) (neg (log base))) |
(* (log base) (neg (log im))) |
(* (* (log im) (pow (log base) -3)) (pow (log base) 2)) |
(* (log im) (pow (log base) -3)) |
(pow (log base) -3) |
(* (log (sqrt (+ (* re re) (* im im)))) (log base)) |
(pow (log base) 2) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 0 binary64)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) |
(+.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) |
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) |
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))))) |
(+.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))) |
(+.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 0 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) |
(fma.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64))) |
(fma.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))) |
(fma.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) |
(fma.f64 (log.f64 base) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 0 binary64)) |
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(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))) |
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) |
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 base))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) |
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) |
(*.f64 (*.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
| 1× | egg-herbie |
| 11 950× | accelerator-lowering-fma.f32 |
| 11 950× | accelerator-lowering-fma.f64 |
| 5 274× | *-lowering-*.f32 |
| 5 274× | *-lowering-*.f64 |
| 3 096× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 334 | 3860 |
| 1 | 932 | 3737 |
| 2 | 2916 | 3710 |
| 3 | 7807 | 3710 |
| 0 | 8017 | 3496 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (log im) (log base)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(* -1 (/ (log (/ 1 re)) (log base))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(* -1 (/ (log (/ -1 re)) (log base))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(/ (log re) (log base)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
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))))) |
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 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)))))))) |
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))))) |
im |
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))) |
(* -1 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)))))))) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(* -1 (/ (log im) (log (/ 1 base)))) |
(* -1 (/ (log im) (log (/ 1 base)))) |
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(* -1 (/ (log im) (log (/ 1 base)))) |
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))) |
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(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(/ (log im) (log base)) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
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(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(/ 1 (log base)) |
(/ 1 (log base)) |
(/ 1 (log base)) |
(/ 1 (log base)) |
(/ -1 (log (/ 1 base))) |
(/ -1 (log (/ 1 base))) |
(/ -1 (log (/ 1 base))) |
(/ -1 (log (/ 1 base))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) |
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(/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) |
(log base) |
(log base) |
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(* -1 (log (/ 1 base))) |
(* -1 (log (/ 1 base))) |
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(log im) |
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(/ (log im) (log base)) |
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(/ (log im) (log base)) |
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(* -1 (/ (log (/ 1 im)) (log base))) |
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(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) |
(/ 1 (pow (log base) 2)) |
(/ 1 (pow (log base) 2)) |
(/ 1 (pow (log base) 2)) |
(/ 1 (pow (log base) 2)) |
(/ 1 (pow (log (/ 1 base)) 2)) |
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(* -1 (log im)) |
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(/ (log im) (log base)) |
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(/ (log im) (log base)) |
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(/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/ (log im) (pow (log base) 3)) |
(/ (log im) (pow (log base) 3)) |
(/ (log im) (pow (log base) 3)) |
(/ (log im) (pow (log base) 3)) |
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(* -1 (/ (log (/ 1 im)) (pow (log base) 3))) |
(* -1 (/ (log (/ 1 im)) (pow (log base) 3))) |
(* -1 (/ (log (/ 1 im)) (pow (log base) 3))) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 3)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 3)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 3)) |
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 3)) |
(/ (log im) (pow (log base) 3)) |
(/ (log im) (pow (log base) 3)) |
(/ (log im) (pow (log base) 3)) |
(/ (log im) (pow (log base) 3)) |
(* -1 (/ (log im) (pow (log (/ 1 base)) 3))) |
(* -1 (/ (log im) (pow (log (/ 1 base)) 3))) |
(* -1 (/ (log im) (pow (log (/ 1 base)) 3))) |
(* -1 (/ (log im) (pow (log (/ 1 base)) 3))) |
(/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(/ 1 (pow (log base) 3)) |
(/ 1 (pow (log base) 3)) |
(/ 1 (pow (log base) 3)) |
(/ 1 (pow (log base) 3)) |
(/ -1 (pow (log (/ 1 base)) 3)) |
(/ -1 (pow (log (/ 1 base)) 3)) |
(/ -1 (pow (log (/ 1 base)) 3)) |
(/ -1 (pow (log (/ 1 base)) 3)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)) |
(* (log base) (log im)) |
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im))) |
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2)))))) |
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6)))))))) |
(* -1 (* (log base) (log (/ 1 re)))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))) |
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
(* -1 (* (log base) (log (/ -1 re)))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))) |
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) |
(* (log base) (log re)) |
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re))) |
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2)))))) |
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6)))))))) |
(* -1 (* (log base) (log (/ 1 im)))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(* -1 (* (log base) (log (/ -1 im)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log base) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (log (/ 1 base)) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
| Outputs |
|---|
(/ (log im) (log base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (log.f64 im) (log.f64 base))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(fma.f64 (*.f64 re re) (fma.f64 re (*.f64 re (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (log.f64 im) (log.f64 base))) |
(* -1 (/ (log (/ 1 re)) (log base))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(fma.f64 (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base))))) (/.f64 (log.f64 re) (log.f64 base))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(fma.f64 im (*.f64 im (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base)))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (log.f64 re) (log.f64 base)))) |
(* -1 (/ (log (/ -1 re)) (log base))) |
(neg.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re (*.f64 re (log.f64 base)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(-.f64 (*.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(-.f64 (fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base))))) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) |
(/ (log re) (log base)) |
(/.f64 (log.f64 re) (log.f64 base)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) |
(fma.f64 (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base))))) (/.f64 (log.f64 re) (log.f64 base))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re))))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base))))) (/.f64 (log.f64 re) (log.f64 base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (log.f64 im) (log.f64 base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(fma.f64 re (*.f64 re (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base)))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (log.f64 im) (log.f64 base)))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(-.f64 (fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
im |
(+ im (* 1/2 (/ (pow re 2) im))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) im) im) |
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) |
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/8 binary64) (*.f64 im (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) im)) 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 (*.f64 re re) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 im (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) im)) im) |
re |
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) |
(fma.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 im (/.f64 im (*.f64 re re)))) re) |
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im (/.f64 im (*.f64 re re))) (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1/8 binary64)) (*.f64 (*.f64 re re) (*.f64 re re)))) 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))))))) |
(fma.f64 re (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) (fma.f64 #s(literal 1/2 binary64) (*.f64 im (/.f64 im (*.f64 re re))) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 re #s(literal 6 binary64))))) re) |
(* -1 re) |
(neg.f64 re) |
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(fma.f64 (*.f64 re (*.f64 im (/.f64 im (*.f64 re re)))) #s(literal -1/2 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 (*.f64 im im) (*.f64 im im)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) (fma.f64 #s(literal 1/2 binary64) (*.f64 im (/.f64 im (*.f64 re re))) #s(literal 1 binary64))) (neg.f64 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 (*.f64 (*.f64 im im) (*.f64 im im)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) (fma.f64 #s(literal 1/2 binary64) (*.f64 im (/.f64 im (*.f64 re re))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) #s(literal 1 binary64)))) (neg.f64 re)) |
re |
(+ re (* 1/2 (/ (pow im 2) re))) |
(fma.f64 im (*.f64 im (/.f64 #s(literal 1/2 binary64) re)) re) |
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))) |
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/8 binary64) (*.f64 re (*.f64 re re))) (/.f64 #s(literal 1/2 binary64) re)) 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))))) |
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(fma.f64 (log.f64 base) (log.f64 re) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 im (/.f64 im (*.f64 re re))))) |
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2)))))) |
(fma.f64 (*.f64 im im) (fma.f64 (log.f64 base) (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 re))) |
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6)))))))) |
(fma.f64 (*.f64 im im) (fma.f64 (log.f64 base) (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (fma.f64 (log.f64 base) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) (*.f64 (*.f64 im (*.f64 im (log.f64 base))) (/.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))))))) (*.f64 (log.f64 base) (log.f64 re))) |
(* -1 (* (log base) (log (/ 1 im)))) |
(*.f64 (log.f64 im) (log.f64 base)) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(fma.f64 (log.f64 im) (log.f64 base) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base)))) (*.f64 im im))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(fma.f64 (log.f64 im) (log.f64 base) (fma.f64 (*.f64 re re) (/.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 im im)) (*.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im)))))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(fma.f64 (log.f64 base) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (log.f64 im) (log.f64 base) (fma.f64 (*.f64 re re) (/.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 im im)) (*.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))))))) |
(* -1 (* (log base) (log (/ -1 im)))) |
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(fma.f64 (*.f64 re re) (/.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 im im)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(fma.f64 (*.f64 re re) (/.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 im im)) (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(fma.f64 (*.f64 re re) (/.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 im im)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)) (fma.f64 (log.f64 base) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 im #s(literal 6 binary64))) (*.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(pow (log base) 2) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow (log base) 2) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow (log base) 2) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow (log base) 2) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow (log (/ 1 base)) 2) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow (log (/ 1 base)) 2) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow (log (/ 1 base)) 2) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow (log (/ 1 base)) 2) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) |
Compiled 88 152 to 7 408 computations (91.6% saved)
36 alts after pruning (32 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 209 | 17 | 4 226 |
| Fresh | 18 | 15 | 33 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 4 229 | 36 | 4 265 |
| Status | Accuracy | Program |
|---|---|---|
| 98.0% | (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 im)))) | |
| 48.7% | (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) | |
| 98.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base)) | |
| 98.1% | (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im))) | |
| 99.1% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) | |
| 99.1% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) | |
| ▶ | 99.2% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) |
| 98.0% | (/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base))) (log.f64 im)) | |
| 98.0% | (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) | |
| 54.7% | (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) | |
| 98.1% | (/.f64 (neg.f64 (log.f64 base)) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (neg.f64 (log.f64 im))))) | |
| 48.8% | (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) | |
| 98.2% | (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) | |
| 98.1% | (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) | |
| ✓ | 98.3% | (/.f64 (log.f64 im) (log.f64 base)) |
| ▶ | 98.2% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))) |
| 48.8% | (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im)) | |
| 97.8% | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (log.f64 base) (log.f64 im))) | |
| 98.1% | (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) | |
| 98.0% | (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))) | |
| ✓ | 98.1% | (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 im))) |
| 98.1% | (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) | |
| 98.1% | (*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (log.f64 im)))) | |
| ▶ | 48.7% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) (log.f64 im)) |
| 98.0% | (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 im)) | |
| 48.7% | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (log.f64 im)) | |
| ▶ | 98.0% | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 base) (log.f64 im))) |
| ✓ | 98.1% | (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)) |
| 48.8% | (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (sqrt.f64 (log.f64 base))) (log.f64 im)) | |
| 98.1% | (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) (log.f64 base)) | |
| ▶ | 98.1% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) (log.f64 base)) |
| 48.8% | (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))) (sqrt.f64 (log.f64 base))) | |
| ✓ | 98.1% | (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
| 47.9% | (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base)))) (*.f64 (log.f64 base) (log.f64 im))) | |
| 48.4% | (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im)) | |
| 46.9% | (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))) |
Compiled 988 to 708 computations (28.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 base) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (log.f64 base)) |
| ✓ | cost-diff | 1088 | (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
| ✓ | cost-diff | 13184 | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) (log.f64 base)) |
| ✓ | cost-diff | 0 | (log.f64 base) |
| ✓ | cost-diff | 0 | (pow.f64 (log.f64 base) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
| ✓ | cost-diff | 13504 | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 base) (log.f64 im))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (log.f64 base)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) (log.f64 im)) |
| ✓ | cost-diff | 8384 | (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
| ✓ | cost-diff | 0 | (log.f64 im) |
| ✓ | cost-diff | 0 | (log.f64 base) |
| ✓ | cost-diff | 0 | (/.f64 (log.f64 base) (log.f64 im)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))) |
| ✓ | cost-diff | 192 | (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 256 | (*.f64 (log.f64 base) (log.f64 base)) |
| ✓ | cost-diff | 5120 | (hypot.f64 re im) |
| ✓ | cost-diff | 13184 | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) |
| 3 176× | *-lowering-*.f32 |
| 3 176× | *-lowering-*.f64 |
| 2 444× | accelerator-lowering-fma.f32 |
| 2 444× | accelerator-lowering-fma.f64 |
| 1 700× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 190 |
| 1 | 67 | 184 |
| 2 | 155 | 170 |
| 3 | 539 | 168 |
| 4 | 2451 | 168 |
| 5 | 4931 | 168 |
| 6 | 7574 | 168 |
| 0 | 8070 | 143 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 0) (+ (* (log base) (log base)) 0)) |
(+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 0) |
(* (log (sqrt (+ (* re re) (* im im)))) (log base)) |
(log (sqrt (+ (* re re) (* im im)))) |
(sqrt (+ (* re re) (* im im))) |
re |
im |
(log base) |
base |
0 |
(+ (* (log base) (log base)) 0) |
(* (log base) (log base)) |
(/ 1 (/ (log base) (log im))) |
1 |
(/ (log base) (log im)) |
(log base) |
base |
(log im) |
im |
(* (/ (/ 1 (sqrt (log base))) (sqrt (log base))) (log im)) |
(/ (/ 1 (sqrt (log base))) (sqrt (log base))) |
(/ 1 (sqrt (log base))) |
1 |
(sqrt (log base)) |
(log base) |
base |
(log im) |
im |
(* (/ 1 (pow (log base) 2)) (* (log base) (log im))) |
(/ 1 (pow (log base) 2)) |
1 |
(pow (log base) 2) |
(log base) |
base |
2 |
(* (log base) (log im)) |
(log im) |
im |
(* (* (/ -1 (log base)) (/ (log im) (neg (log base)))) (log base)) |
(* (/ -1 (log base)) (/ (log im) (neg (log base)))) |
(/ -1 (log base)) |
-1 |
(log base) |
base |
(/ (log im) (neg (log base))) |
(log im) |
im |
(neg (log base)) |
| Outputs |
|---|
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 0) (+ (* (log base) (log base)) 0)) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) |
(+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 0) |
(*.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) |
(* (log (sqrt (+ (* re re) (* im im)))) (log base)) |
(*.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) |
(log (sqrt (+ (* re re) (* im im)))) |
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) |
(sqrt (+ (* re re) (* im im))) |
(sqrt.f64 (fma.f64 re re (*.f64 im im))) |
re |
im |
(log base) |
(log.f64 base) |
base |
0 |
#s(literal 0 binary64) |
(+ (* (log base) (log base)) 0) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(* (log base) (log base)) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(/ 1 (/ (log base) (log im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
1 |
#s(literal 1 binary64) |
(/ (log base) (log im)) |
(/.f64 (log.f64 base) (log.f64 im)) |
(log base) |
(log.f64 base) |
base |
(log im) |
(log.f64 im) |
im |
(* (/ (/ 1 (sqrt (log base))) (sqrt (log base))) (log im)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/ (/ 1 (sqrt (log base))) (sqrt (log base))) |
(/.f64 #s(literal 1 binary64) (log.f64 base)) |
(/ 1 (sqrt (log base))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) |
1 |
#s(literal 1 binary64) |
(sqrt (log base)) |
(sqrt.f64 (log.f64 base)) |
(log base) |
(log.f64 base) |
base |
(log im) |
(log.f64 im) |
im |
(* (/ 1 (pow (log base) 2)) (* (log base) (log im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/ 1 (pow (log base) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(pow (log base) 2) |
(pow.f64 (log.f64 base) #s(literal 2 binary64)) |
(log base) |
(log.f64 base) |
base |
2 |
#s(literal 2 binary64) |
(* (log base) (log im)) |
(*.f64 (log.f64 base) (log.f64 im)) |
(log im) |
(log.f64 im) |
im |
(* (* (/ -1 (log base)) (/ (log im) (neg (log base)))) (log base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(* (/ -1 (log base)) (/ (log im) (neg (log base)))) |
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(/ -1 (log base)) |
(/.f64 #s(literal -1 binary64) (log.f64 base)) |
-1 |
#s(literal -1 binary64) |
(log base) |
(log.f64 base) |
base |
(/ (log im) (neg (log base))) |
(neg.f64 (/.f64 (log.f64 im) (log.f64 base))) |
(log im) |
(log.f64 im) |
im |
(neg (log base)) |
(neg.f64 (log.f64 base)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 #s(literal -1 binary64) (log.f64 base)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
| ✓ | accuracy | 99.7% | (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) (log.f64 base)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (log.f64 base) (log.f64 im)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 base) (log.f64 im))) |
| ✓ | accuracy | 99.6% | (pow.f64 (log.f64 base) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (sqrt.f64 (log.f64 base)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) (log.f64 im)) |
| ✓ | accuracy | 100.0% | (log.f64 im) |
| ✓ | accuracy | 100.0% | (log.f64 base) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))) |
| ✓ | accuracy | 99.7% | (/.f64 (log.f64 base) (log.f64 im)) |
| ✓ | accuracy | 100.0% | (log.f64 base) |
| ✓ | accuracy | 99.7% | (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| ✓ | accuracy | 99.7% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (log.f64 base) (log.f64 base)) |
| 60.0ms | 128× | 0 | valid |
| 49.0ms | 128× | 0 | invalid |
Compiled 195 to 33 computations (83.1% saved)
ival-mult: 54.0ms (60.4% of total)ival-div: 12.0ms (13.4% of total)ival-log: 11.0ms (12.3% of total)ival-hypot: 5.0ms (5.6% of total)ival-add: 2.0ms (2.2% of total)ival-pow2: 2.0ms (2.2% of total)ival-sqrt: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 0) (+ (* (log base) (log base)) 0))> |
#<alt (sqrt (+ (* re re) (* im im)))> |
#<alt (* (log base) (log base))> |
#<alt (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 0)> |
#<alt (/ 1 (/ (log base) (log im)))> |
#<alt (/ (log base) (log im))> |
#<alt (log base)> |
#<alt (log im)> |
#<alt (/ (/ 1 (sqrt (log base))) (sqrt (log base)))> |
#<alt (* (/ (/ 1 (sqrt (log base))) (sqrt (log base))) (log im))> |
#<alt (/ 1 (sqrt (log base)))> |
#<alt (sqrt (log base))> |
#<alt (* (/ 1 (pow (log base) 2)) (* (log base) (log im)))> |
#<alt (/ 1 (pow (log base) 2))> |
#<alt (pow (log base) 2)> |
#<alt (* (* (/ -1 (log base)) (/ (log im) (neg (log base)))) (log base))> |
#<alt (* (/ -1 (log base)) (/ (log im) (neg (log base))))> |
#<alt (/ -1 (log base))> |
#<alt (* (log (sqrt (+ (* re re) (* im im)))) (log base))> |
#<alt (* (log base) (log im))> |
#<alt (/ (log im) (neg (log base)))> |
| Outputs |
|---|
#<alt (/ (log im) (log base))> |
#<alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))> |
#<alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))> |
#<alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))> |
#<alt (* -1 (/ (log (/ 1 re)) (log base)))> |
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))> |
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))> |
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))> |
#<alt (* -1 (/ (log (/ -1 re)) (log base)))> |
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))> |
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))> |
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))> |
#<alt (/ (log re) (log base))> |
#<alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))> |
#<alt (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))> |
#<alt (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))> |
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))> |
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))> |
#<alt (* -1 (/ (log (/ -1 im)) (log base)))> |
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))> |
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))> |
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))> |
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt im> |
#<alt (+ im (* 1/2 (/ (pow re 2) im)))> |
#<alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))> |
#<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)))))> |
#<alt re> |
#<alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))> |
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))> |
#<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)))))))> |
#<alt (* -1 re)> |
#<alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))> |
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))> |
#<alt (* -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))))))))> |
#<alt re> |
#<alt (+ re (* 1/2 (/ (pow im 2) re)))> |
#<alt (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))> |
#<alt (+ 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)))))> |
#<alt im> |
#<alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))> |
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))> |
#<alt (* 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)))))))> |
#<alt (* -1 im)> |
#<alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))> |
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))> |
#<alt (* -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))))))))> |
#<alt (pow (log base) 2)> |
#<alt (pow (log base) 2)> |
#<alt (pow (log base) 2)> |
#<alt (pow (log base) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (* (log base) (log im))> |
#<alt (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))> |
#<alt (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))> |
#<alt (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))> |
#<alt (* -1 (* (log base) (log (/ 1 re))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))> |
#<alt (* -1 (* (log base) (log (/ -1 re))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))> |
#<alt (* (log base) (log re))> |
#<alt (+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))> |
#<alt (+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))> |
#<alt (+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))> |
#<alt (* -1 (* (log base) (log (/ 1 im))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))> |
#<alt (* -1 (* (log base) (log (/ -1 im))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (log base) (log im))> |
#<alt (/ (log base) (log im))> |
#<alt (/ (log base) (log im))> |
#<alt (/ (log base) (log im))> |
#<alt (* -1 (/ (log (/ 1 base)) (log im)))> |
#<alt (* -1 (/ (log (/ 1 base)) (log im)))> |
#<alt (* -1 (/ (log (/ 1 base)) (log im)))> |
#<alt (* -1 (/ (log (/ 1 base)) (log im)))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))> |
#<alt (/ (log base) (log im))> |
#<alt (/ (log base) (log im))> |
#<alt (/ (log base) (log im))> |
#<alt (/ (log base) (log im))> |
#<alt (* -1 (/ (log base) (log (/ 1 im))))> |
#<alt (* -1 (/ (log base) (log (/ 1 im))))> |
#<alt (* -1 (/ (log base) (log (/ 1 im))))> |
#<alt (* -1 (/ (log base) (log (/ 1 im))))> |
#<alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (log base)> |
#<alt (log base)> |
#<alt (log base)> |
#<alt (log base)> |
#<alt (* -1 (log (/ 1 base)))> |
#<alt (* -1 (log (/ 1 base)))> |
#<alt (* -1 (log (/ 1 base)))> |
#<alt (* -1 (log (/ 1 base)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 base))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 base))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 base))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 base))))> |
#<alt (log im)> |
#<alt (log im)> |
#<alt (log im)> |
#<alt (log im)> |
#<alt (* -1 (log (/ 1 im)))> |
#<alt (* -1 (log (/ 1 im)))> |
#<alt (* -1 (log (/ 1 im)))> |
#<alt (* -1 (log (/ 1 im)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 im))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 im))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 im))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 im))))> |
#<alt (/ 1 (log base))> |
#<alt (/ 1 (log base))> |
#<alt (/ 1 (log base))> |
#<alt (/ 1 (log base))> |
#<alt (/ -1 (log (/ 1 base)))> |
#<alt (/ -1 (log (/ 1 base)))> |
#<alt (/ -1 (log (/ 1 base)))> |
#<alt (/ -1 (log (/ 1 base)))> |
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (sqrt (/ 1 (log base)))> |
#<alt (sqrt (/ 1 (log base)))> |
#<alt (sqrt (/ 1 (log base)))> |
#<alt (sqrt (/ 1 (log base)))> |
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))> |
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))> |
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))> |
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))> |
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))> |
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))> |
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))> |
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))> |
#<alt (sqrt (log base))> |
#<alt (sqrt (log base))> |
#<alt (sqrt (log base))> |
#<alt (sqrt (log base))> |
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))> |
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))> |
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))> |
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))> |
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ 1 (pow (log base) 2))> |
#<alt (/ 1 (pow (log base) 2))> |
#<alt (/ 1 (pow (log base) 2))> |
#<alt (/ 1 (pow (log base) 2))> |
#<alt (/ 1 (pow (log (/ 1 base)) 2))> |
#<alt (/ 1 (pow (log (/ 1 base)) 2))> |
#<alt (/ 1 (pow (log (/ 1 base)) 2))> |
#<alt (/ 1 (pow (log (/ 1 base)) 2))> |
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))> |
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))> |
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))> |
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))> |
#<alt (pow (log base) 2)> |
#<alt (pow (log base) 2)> |
#<alt (pow (log base) 2)> |
#<alt (pow (log base) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (log (/ 1 base)) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (* -1 (/ (log im) (log (/ 1 base))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (/ (log im) (log base))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (* -1 (/ (log (/ 1 im)) (log base)))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))> |
#<alt (/ (log im) (pow (log base) 2))> |
#<alt (/ (log im) (pow (log base) 2))> |
#<alt (/ (log im) (pow (log base) 2))> |
#<alt (/ (log im) (pow (log base) 2))> |
#<alt (/ (log im) (pow (log (/ 1 base)) 2))> |
#<alt (/ (log im) (pow (log (/ 1 base)) 2))> |
#<alt (/ (log im) (pow (log (/ 1 base)) 2))> |
#<alt (/ (log im) (pow (log (/ 1 base)) 2))> |
#<alt (/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))> |
#<alt (/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))> |
#<alt (/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))> |
#<alt (/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))> |
#<alt (/ (log im) (pow (log base) 2))> |
#<alt (/ (log im) (pow (log base) 2))> |
#<alt (/ (log im) (pow (log base) 2))> |
#<alt (/ (log im) (pow (log base) 2))> |
#<alt (* -1 (/ (log (/ 1 im)) (pow (log base) 2)))> |
#<alt (* -1 (/ (log (/ 1 im)) (pow (log base) 2)))> |
#<alt (* -1 (/ (log (/ 1 im)) (pow (log base) 2)))> |
#<alt (* -1 (/ (log (/ 1 im)) (pow (log base) 2)))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 2))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 2))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 2))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 2))> |
#<alt (/ -1 (log base))> |
#<alt (/ -1 (log base))> |
#<alt (/ -1 (log base))> |
#<alt (/ -1 (log base))> |
#<alt (/ 1 (log (/ 1 base)))> |
#<alt (/ 1 (log (/ 1 base)))> |
#<alt (/ 1 (log (/ 1 base)))> |
#<alt (/ 1 (log (/ 1 base)))> |
#<alt (/ -1 (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ -1 (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ -1 (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (/ -1 (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log base) (log im))> |
#<alt (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))> |
#<alt (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))> |
#<alt (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))> |
#<alt (* -1 (* (log base) (log (/ 1 re))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))> |
#<alt (* -1 (* (log base) (log (/ -1 re))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))> |
#<alt (* (log base) (log re))> |
#<alt (+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))> |
#<alt (+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))> |
#<alt (+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))> |
#<alt (* -1 (* (log base) (log (/ 1 im))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))> |
#<alt (* -1 (* (log base) (log (/ -1 im))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))> |
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log base) (log im))> |
#<alt (* (log base) (log im))> |
#<alt (* (log base) (log im))> |
#<alt (* (log base) (log im))> |
#<alt (* -1 (* (log im) (log (/ 1 base))))> |
#<alt (* -1 (* (log im) (log (/ 1 base))))> |
#<alt (* -1 (* (log im) (log (/ 1 base))))> |
#<alt (* -1 (* (log im) (log (/ 1 base))))> |
#<alt (* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))> |
#<alt (* (log base) (log im))> |
#<alt (* (log base) (log im))> |
#<alt (* (log base) (log im))> |
#<alt (* (log base) (log im))> |
#<alt (* -1 (* (log base) (log (/ 1 im))))> |
#<alt (* -1 (* (log base) (log (/ 1 im))))> |
#<alt (* -1 (* (log base) (log (/ 1 im))))> |
#<alt (* -1 (* (log base) (log (/ 1 im))))> |
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))> |
#<alt (* -1 (/ (log im) (log base)))> |
#<alt (* -1 (/ (log im) (log base)))> |
#<alt (* -1 (/ (log im) (log base)))> |
#<alt (* -1 (/ (log im) (log base)))> |
#<alt (/ (log (/ 1 im)) (log base))> |
#<alt (/ (log (/ 1 im)) (log base))> |
#<alt (/ (log (/ 1 im)) (log base))> |
#<alt (/ (log (/ 1 im)) (log base))> |
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)))> |
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)))> |
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)))> |
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)))> |
#<alt (* -1 (/ (log im) (log base)))> |
#<alt (* -1 (/ (log im) (log base)))> |
#<alt (* -1 (/ (log im) (log base)))> |
#<alt (* -1 (/ (log im) (log base)))> |
#<alt (/ (log im) (log (/ 1 base)))> |
#<alt (/ (log im) (log (/ 1 base)))> |
#<alt (/ (log im) (log (/ 1 base)))> |
#<alt (/ (log im) (log (/ 1 base)))> |
#<alt (* -1 (/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))))> |
#<alt (* -1 (/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))))> |
#<alt (* -1 (/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))))> |
#<alt (* -1 (/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))))> |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | base | @ | -inf | (/ -1 (log base)) |
| 1.0ms | im | @ | -inf | (/ (log base) (log im)) |
| 1.0ms | im | @ | inf | (/ (log base) (log im)) |
| 1.0ms | base | @ | inf | (/ -1 (log base)) |
| 1.0ms | base | @ | -inf | (* (/ -1 (log base)) (/ (log im) (neg (log base)))) |
| 1× | batch-egg-rewrite |
| 4 582× | *-lowering-*.f32 |
| 4 582× | *-lowering-*.f64 |
| 4 380× | accelerator-lowering-fma.f32 |
| 4 380× | accelerator-lowering-fma.f64 |
| 3 448× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 141 |
| 1 | 173 | 121 |
| 2 | 1256 | 118 |
| 0 | 8337 | 98 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 0) (+ (* (log base) (log base)) 0)) |
(sqrt (+ (* re re) (* im im))) |
(* (log base) (log base)) |
(+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 0) |
(/ 1 (/ (log base) (log im))) |
(/ (log base) (log im)) |
(log base) |
(log im) |
(/ (/ 1 (sqrt (log base))) (sqrt (log base))) |
(* (/ (/ 1 (sqrt (log base))) (sqrt (log base))) (log im)) |
(/ 1 (sqrt (log base))) |
(sqrt (log base)) |
(* (/ 1 (pow (log base) 2)) (* (log base) (log im))) |
(/ 1 (pow (log base) 2)) |
(pow (log base) 2) |
(* (* (/ -1 (log base)) (/ (log im) (neg (log base)))) (log base)) |
(* (/ -1 (log base)) (/ (log im) (neg (log base)))) |
(/ -1 (log base)) |
(* (log (sqrt (+ (* re re) (* im im)))) (log base)) |
(* (log base) (log im)) |
(/ (log im) (neg (log base))) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 0 binary64)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))) |
(+.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) |
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64))))) |
(+.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64))))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))) |
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(*.f64 (log.f64 base) (*.f64 (*.f64 (log.f64 base) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal -2 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) |
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) |
(*.f64 (neg.f64 (log.f64 base)) (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) |
(*.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (*.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal -2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (neg.f64 (log.f64 base))) |
(*.f64 (*.f64 (log.f64 base) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))))) |
(*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 1 binary64)) (log.f64 base)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -1 binary64)) (neg.f64 (log.f64 base))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (neg.f64 (sqrt.f64 (log.f64 base)))) (neg.f64 (sqrt.f64 (log.f64 base)))) |
(*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) |
(neg.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im)))) |
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
(/.f64 (*.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) |
(/.f64 (*.f64 (log.f64 im) (neg.f64 (sqrt.f64 (log.f64 base)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base)))) |
(/.f64 (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (log.f64 im)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base)))) |
(*.f64 (log.f64 base) (log.f64 im)) |
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 im))) |
(*.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 im))) |
(*.f64 (*.f64 (log.f64 base) (log.f64 im)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (neg.f64 (log.f64 im)))) |
(*.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (*.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (log.f64 im))) |
(*.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base))) |
(*.f64 (*.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
(*.f64 (*.f64 (log.f64 im) (neg.f64 (sqrt.f64 (log.f64 base)))) (neg.f64 (sqrt.f64 (log.f64 base)))) |
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 im)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 base))) |
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))) |
(neg.f64 (/.f64 (log.f64 im) (log.f64 base))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (neg.f64 (log.f64 im)))) |
(/.f64 (log.f64 im) (neg.f64 (log.f64 base))) |
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 im))) |
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im))) |
(/.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (log.f64 im)) (log.f64 base)) |
(/.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 im))) |
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (log.f64 im) (neg.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 base)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))) (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (/.f64 (log.f64 base) (neg.f64 (log.f64 im)))) |
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 im))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (neg.f64 (log.f64 im))) (neg.f64 (sqrt.f64 (log.f64 base)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (neg.f64 (log.f64 im)))) (log.f64 base)) |
(pow.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 im))) #s(literal -1 binary64)) |
(*.f64 (log.f64 base) (*.f64 (log.f64 im) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
(*.f64 (log.f64 im) (/.f64 #s(literal -1 binary64) (log.f64 base))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (neg.f64 (sqrt.f64 (log.f64 base))))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (neg.f64 (log.f64 im)))) |
(*.f64 (*.f64 (log.f64 base) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 base))) |
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 im)) |
(*.f64 (neg.f64 (log.f64 base)) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) |
(*.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (neg.f64 (log.f64 base))) |
(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (neg.f64 (log.f64 im)))) |
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (neg.f64 (log.f64 im))) |
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (log.f64 im) (neg.f64 (sqrt.f64 (log.f64 base)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) |
(*.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (log.f64 base) (log.f64 im))) |
(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (log.f64 im) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (log.f64 base)) |
(*.f64 (pow.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 im))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 im))) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(*.f64 (neg.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
| 1× | egg-herbie |
| 12 382× | accelerator-lowering-fma.f32 |
| 12 382× | accelerator-lowering-fma.f64 |
| 5 092× | *-lowering-*.f32 |
| 5 092× | *-lowering-*.f64 |
| 3 414× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 344 | 4888 |
| 1 | 934 | 4735 |
| 2 | 2800 | 4704 |
| 3 | 7520 | 4704 |
| 0 | 8141 | 4400 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (log im) (log base)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(* -1 (/ (log (/ 1 re)) (log base))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(* -1 (/ (log (/ -1 re)) (log base))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(/ (log re) (log base)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
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im |
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re |
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re |
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im |
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(pow (log base) 2) |
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(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(* -1 (* (log base) (log (/ -1 im)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) |
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log base) (log im)) |
(* (log base) (log im)) |
(* (log base) (log im)) |
(* (log base) (log im)) |
(* -1 (* (log im) (log (/ 1 base)))) |
(* -1 (* (log im) (log (/ 1 base)))) |
(* -1 (* (log im) (log (/ 1 base)))) |
(* -1 (* (log im) (log (/ 1 base)))) |
(* (log im) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log im) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log im) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log im) (+ (log -1) (* -1 (log (/ -1 base))))) |
(* (log base) (log im)) |
(* (log base) (log im)) |
(* (log base) (log im)) |
(* (log base) (log im)) |
(* -1 (* (log base) (log (/ 1 im)))) |
(* -1 (* (log base) (log (/ 1 im)))) |
(* -1 (* (log base) (log (/ 1 im)))) |
(* -1 (* (log base) (log (/ 1 im)))) |
(* (log base) (+ (log -1) (* -1 (log (/ -1 im))))) |
(* (log base) (+ (log -1) (* -1 (log (/ -1 im))))) |
(* (log base) (+ (log -1) (* -1 (log (/ -1 im))))) |
(* (log base) (+ (log -1) (* -1 (log (/ -1 im))))) |
(* -1 (/ (log im) (log base))) |
(* -1 (/ (log im) (log base))) |
(* -1 (/ (log im) (log base))) |
(* -1 (/ (log im) (log base))) |
(/ (log (/ 1 im)) (log base)) |
(/ (log (/ 1 im)) (log base)) |
(/ (log (/ 1 im)) (log base)) |
(/ (log (/ 1 im)) (log base)) |
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))) |
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))) |
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))) |
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))) |
(* -1 (/ (log im) (log base))) |
(* -1 (/ (log im) (log base))) |
(* -1 (/ (log im) (log base))) |
(* -1 (/ (log im) (log base))) |
(/ (log im) (log (/ 1 base))) |
(/ (log im) (log (/ 1 base))) |
(/ (log im) (log (/ 1 base))) |
(/ (log im) (log (/ 1 base))) |
(* -1 (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))) |
(* -1 (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))) |
(* -1 (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))) |
(* -1 (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))) |
| Outputs |
|---|
(/ (log im) (log base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))) |
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (log.f64 im) (log.f64 base))) |
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) |
(fma.f64 (*.f64 re re) (fma.f64 re (*.f64 re (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (log.f64 im) (log.f64 base))) |
(* -1 (/ (log (/ 1 re)) (log base))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(fma.f64 (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base))))) (/.f64 (log.f64 re) (log.f64 base))) |
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (log.f64 re) (log.f64 base)))) |
(* -1 (/ (log (/ -1 re)) (log base))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re (*.f64 re (log.f64 base)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) |
(fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base)))) |
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) |
(-.f64 (fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base))))) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) |
(/ (log re) (log base)) |
(/.f64 (log.f64 re) (log.f64 base)) |
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) |
(fma.f64 (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base))) |
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base))))) (/.f64 (log.f64 re) (log.f64 base))) |
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) |
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re))))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base))))) (/.f64 (log.f64 re) (log.f64 base))) |
(* -1 (/ (log (/ 1 im)) (log base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (log.f64 im) (log.f64 base))) |
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (log.f64 im) (log.f64 base)))) |
(* -1 (/ (log (/ -1 im)) (log base))) |
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) |
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) |
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) |
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (-.f64 (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
im |
(+ im (* 1/2 (/ (pow re 2) im))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) im) im) |
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) |
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/8 binary64) (*.f64 im (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) im)) 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 (*.f64 re re) (fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 im (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) im)) im) |
re |
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (/.f64 re (*.f64 re re)) re) |
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 im im) (*.f64 re re)) (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1/8 binary64)) (*.f64 (*.f64 re re) (*.f64 re re)))) 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))))))) |
(fma.f64 re (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 im im) (*.f64 re re)) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 re #s(literal 6 binary64))))) re) |
(* -1 re) |
(neg.f64 re) |
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))) |
(-.f64 (*.f64 (/.f64 (*.f64 re (*.f64 im im)) (*.f64 re re)) #s(literal -1/2 binary64)) re) |
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) |
(neg.f64 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 im im) (*.f64 re re)) (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1/8 binary64)) (*.f64 (*.f64 re re) (*.f64 re re)))) 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 (*.f64 (*.f64 im im) (*.f64 im im)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1 binary64)))) (neg.f64 re)) |
re |
(+ re (* 1/2 (/ (pow im 2) re))) |
(fma.f64 im (/.f64 (*.f64 im #s(literal 1/2 binary64)) re) re) |
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/8 binary64) (*.f64 re (*.f64 re re))) (/.f64 #s(literal 1/2 binary64) re))) 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 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 re (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) re))) re) |
im |
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) |
(*.f64 im (fma.f64 (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64))) |
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) |
(fma.f64 im (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) 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))))))) |
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(/.f64 (log.f64 im) (neg.f64 (log.f64 base))) |
(/ (log (/ 1 im)) (log base)) |
(/.f64 (log.f64 im) (neg.f64 (log.f64 base))) |
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 base))) |
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 base))) |
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 base))) |
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 base))) |
(* -1 (/ (log im) (log base))) |
(/.f64 (log.f64 im) (neg.f64 (log.f64 base))) |
(* -1 (/ (log im) (log base))) |
(/.f64 (log.f64 im) (neg.f64 (log.f64 base))) |
(* -1 (/ (log im) (log base))) |
(/.f64 (log.f64 im) (neg.f64 (log.f64 base))) |
(* -1 (/ (log im) (log base))) |
(/.f64 (log.f64 im) (neg.f64 (log.f64 base))) |
(/ (log im) (log (/ 1 base))) |
(/.f64 (log.f64 im) (neg.f64 (log.f64 base))) |
(/ (log im) (log (/ 1 base))) |
(/.f64 (log.f64 im) (neg.f64 (log.f64 base))) |
(/ (log im) (log (/ 1 base))) |
(/.f64 (log.f64 im) (neg.f64 (log.f64 base))) |
(/ (log im) (log (/ 1 base))) |
(/.f64 (log.f64 im) (neg.f64 (log.f64 base))) |
(* -1 (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))) |
(/.f64 (neg.f64 (log.f64 im)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(* -1 (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))) |
(/.f64 (neg.f64 (log.f64 im)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(* -1 (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))) |
(/.f64 (neg.f64 (log.f64 im)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
(* -1 (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))) |
(/.f64 (neg.f64 (log.f64 im)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) |
Compiled 77 097 to 6 493 computations (91.6% saved)
41 alts after pruning (35 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 674 | 17 | 3 691 |
| Fresh | 9 | 18 | 27 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 3 686 | 41 | 3 727 |
| Status | Accuracy | Program |
|---|---|---|
| 46.8% | (pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 98.0% | (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 im)))) | |
| 48.7% | (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) | |
| 98.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base)) | |
| 49.2% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 4 binary64)) #s(literal 0 binary64))) | |
| 99.2% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) | |
| 99.1% | (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) #s(literal 0 binary64))) | |
| 98.0% | (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) | |
| 54.7% | (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) | |
| 98.1% | (/.f64 (neg.f64 (log.f64 base)) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (neg.f64 (log.f64 im))))) | |
| 98.2% | (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) | |
| 98.1% | (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) | |
| ✓ | 98.3% | (/.f64 (log.f64 im) (log.f64 base)) |
| 98.1% | (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))) | |
| 98.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) | |
| ✓ | 98.2% | (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))) |
| 48.4% | (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (log.f64 (log.f64 base))) (log.f64 im))) | |
| 98.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) | |
| 98.1% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))) | |
| 48.7% | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64)) (log.f64 im)) | |
| 97.8% | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (log.f64 base) (log.f64 im))) | |
| 48.7% | (*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (log.f64 im)) | |
| 98.0% | (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))) | |
| ✓ | 98.1% | (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 im))) |
| 98.1% | (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) | |
| 98.2% | (*.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 base)) (log.f64 base)) (log.f64 base)) | |
| 48.8% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))) (sqrt.f64 (log.f64 base))) (log.f64 im)) | |
| 48.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (log.f64 base))) (sqrt.f64 (sqrt.f64 (log.f64 base))))) (sqrt.f64 (log.f64 base))) (log.f64 im)) | |
| 48.7% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))) (log.f64 im)) | |
| 48.7% | (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) | |
| 98.0% | (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 im)) | |
| 48.5% | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 4 binary64))) (*.f64 (log.f64 base) (log.f64 im))) | |
| 48.7% | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (log.f64 im)) | |
| ✓ | 98.0% | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 base) (log.f64 im))) |
| ✓ | 98.1% | (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)) |
| 98.1% | (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) (log.f64 base)) | |
| 48.8% | (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))) (sqrt.f64 (log.f64 base))) | |
| ✓ | 98.1% | (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
| 47.9% | (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base)))) (*.f64 (log.f64 base) (log.f64 im))) | |
| 48.4% | (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im)) | |
| 46.9% | (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))) |
Compiled 1 926 to 680 computations (64.7% saved)
| Inputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (log.f64 im)) |
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (log.f64 im)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64)) (log.f64 im)) |
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
(*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) (log.f64 im)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))) (log.f64 im)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))) (sqrt.f64 (log.f64 base))) (log.f64 im)) |
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im)) |
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im)) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) (log.f64 base)) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 im))) |
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) |
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (neg.f64 (log.f64 im)) (*.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 im)) |
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))) (sqrt.f64 (log.f64 base))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (sqrt.f64 (log.f64 base))) (log.f64 im)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 base) (log.f64 im))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (log.f64 base) (log.f64 im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (log.f64 (log.f64 base))) (log.f64 im))) |
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))) |
(/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base)) |
(*.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 base)) (log.f64 base)) (log.f64 base)) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))) |
(/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) |
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) |
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 im)))) |
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base))) (log.f64 im)) |
(/.f64 (neg.f64 (log.f64 base)) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (neg.f64 (log.f64 im))))) |
(/.f64 (/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (log.f64 base)) (neg.f64 (log.f64 base))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 4 binary64))) (*.f64 (log.f64 base) (log.f64 im))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) (log.f64 base)) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) |
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im)))))) |
(/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (log.f64 base)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (log.f64 base))) (sqrt.f64 (sqrt.f64 (log.f64 base))))) (sqrt.f64 (log.f64 base))) (log.f64 im)) |
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 im))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) |
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base)))) (*.f64 (log.f64 base) (log.f64 im))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 4 binary64)) #s(literal 0 binary64))) |
(/.f64 (log.f64 im) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (log.f64 im)))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) #s(literal 0 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (log.f64 base)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base))) |
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) |
5 calls:
| 31.0ms | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| 31.0ms | im |
| 25.0ms | re |
| 25.0ms | (log.f64 base) |
| 25.0ms | base |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | re |
| 99.2% | 1 | im |
| 99.2% | 1 | base |
| 99.2% | 1 | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| 99.2% | 1 | (log.f64 base) |
Compiled 48 to 31 computations (35.4% saved)
Total -52.4b remaining (-4803.4%)
Threshold costs -52.4b (-4803.4%)
| Inputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (log.f64 im)) |
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (log.f64 im)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64)) (log.f64 im)) |
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
(*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) (log.f64 im)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))) (log.f64 im)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))) (sqrt.f64 (log.f64 base))) (log.f64 im)) |
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im)) |
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im)) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) (log.f64 base)) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 im))) |
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) |
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (neg.f64 (log.f64 im)) (*.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 im)) |
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))) (sqrt.f64 (log.f64 base))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (sqrt.f64 (log.f64 base))) (log.f64 im)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 base) (log.f64 im))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (log.f64 base) (log.f64 im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (log.f64 (log.f64 base))) (log.f64 im))) |
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))) |
(/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base)) |
(*.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 base)) (log.f64 base)) (log.f64 base)) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))) |
(/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) |
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) |
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 im)))) |
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base))) (log.f64 im)) |
(/.f64 (neg.f64 (log.f64 base)) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (neg.f64 (log.f64 im))))) |
(/.f64 (/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (log.f64 base)) (neg.f64 (log.f64 base))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 4 binary64))) (*.f64 (log.f64 base) (log.f64 im))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 base))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) (log.f64 base)) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) |
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im)))))) |
(/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (log.f64 base)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (log.f64 base))) (sqrt.f64 (sqrt.f64 (log.f64 base))))) (sqrt.f64 (log.f64 base))) (log.f64 im)) |
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 im))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) |
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base)))) (*.f64 (log.f64 base) (log.f64 im))) |
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) |
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))))) |
| Outputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
5 calls:
| 34.0ms | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| 26.0ms | re |
| 20.0ms | (log.f64 base) |
| 20.0ms | im |
| 19.0ms | base |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | re |
| 98.3% | 1 | im |
| 98.3% | 1 | base |
| 98.3% | 1 | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
| 98.3% | 1 | (log.f64 base) |
Compiled 48 to 31 computations (35.4% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 4× | +-rgt-identity_binary64 |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 17 |
| 1 | 20 | 17 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 (log.f64 im) (log.f64 base)) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) |
(/.f64 (log.f64 im) (log.f64 base)) |
| 12 210× | accelerator-lowering-fma.f32 |
| 12 210× | accelerator-lowering-fma.f64 |
| 5 982× | accelerator-lowering-fma.f32 |
| 5 982× | accelerator-lowering-fma.f64 |
| 5 950× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 141 |
| 1 | 173 | 121 |
| 2 | 1256 | 118 |
| 0 | 8337 | 98 |
| 0 | 18 | 61 |
| 1 | 81 | 55 |
| 2 | 668 | 55 |
| 3 | 6204 | 55 |
| 0 | 8227 | 35 |
| 0 | 299 | 2912 |
| 1 | 840 | 2860 |
| 2 | 2644 | 2828 |
| 3 | 6337 | 2818 |
| 0 | 8102 | 2516 |
| 0 | 36 | 172 |
| 1 | 160 | 164 |
| 2 | 1154 | 141 |
| 0 | 8881 | 101 |
| 0 | 35 | 117 |
| 1 | 154 | 106 |
| 2 | 1132 | 98 |
| 0 | 8712 | 83 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 115 to 71 computations (38.3% saved)
(sort re im)
(abs re)
(abs im)
Compiled 282 to 180 computations (36.2% saved)
Loading profile data...