
Time bar (total: 13.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 21 to 13 computations (38.1% saved)
| 1.0s | 8 256× | 0 | valid |
ival-mult: 568.0ms (81.3% of total)ival-add: 84.0ms (12% of total)ival-sub: 39.0ms (5.6% of total)ival-true: 5.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| 1× | egg-herbie |
| 19 136× | lower-fma.f64 |
| 19 136× | lower-fma.f32 |
| 2 550× | lower-+.f32 |
| 2 546× | lower-+.f64 |
| 2 546× | lower-*.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 107 |
| 1 | 99 | 89 |
| 2 | 292 | 85 |
| 3 | 1259 | 57 |
| 4 | 3111 | 55 |
| 5 | 5133 | 55 |
| 6 | 6048 | 55 |
| 7 | 6433 | 55 |
| 8 | 6553 | 55 |
| 9 | 6657 | 55 |
| 10 | 6664 | 55 |
| 11 | 7747 | 55 |
| 0 | 11 | 19 |
| 0 | 20 | 19 |
| 1 | 34 | 17 |
| 2 | 65 | 17 |
| 3 | 151 | 11 |
| 4 | 358 | 11 |
| 5 | 1010 | 11 |
| 6 | 1929 | 11 |
| 7 | 4829 | 11 |
| 8 | 7194 | 11 |
| 0 | 8107 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Outputs |
|---|
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im (neg.f64 x.im)))) |
(abs x.re)
(negabs x.im)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 19 | 0 | - | 0 | - | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
| 14 | 0 | - | 0 | - | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 11 | 0 | - | 0 | - | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| 0 | 0 | - | 0 | - | (*.f64 x.re x.im) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
| 0 | 0 | - | 0 | - | (*.f64 x.im x.im) |
| 0 | 0 | - | 0 | - | (*.f64 x.re x.re) |
| 0 | 0 | - | 0 | - | (*.f64 x.im x.re) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| 0 | 0 | - | 0 | - | x.re |
| 0 | 0 | - | 0 | - | x.im |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) | n*o | 19 | 0 |
+.f64 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | nan-rescue | 14 | 0 |
| ↳ | (*.f64 x.re x.re) | overflow | 61 | |
| ↳ | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | overflow | 104 | |
| ↳ | (*.f64 x.im x.im) | overflow | 54 | |
| ↳ | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) | overflow | 105 | |
| ↳ | (*.f64 x.im x.re) | overflow | 28 | |
| ↳ | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) | overflow | 48 | |
| ↳ | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | overflow | 28 | |
| ↳ | (*.f64 x.re x.im) | overflow | 28 | |
-.f64 | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | nan-rescue | 11 | 0 |
| ↳ | (*.f64 x.re x.re) | overflow | 61 | |
| ↳ | (*.f64 x.im x.im) | overflow | 54 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 36 | 0 |
| - | 0 | 220 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 36 | 0 | 0 |
| - | 0 | 0 | 220 |
| number | freq |
|---|---|
| 0 | 220 |
| 1 | 28 |
| 2 | 8 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 63.0ms | 512× | 0 | valid |
Compiled 176 to 48 computations (72.7% saved)
ival-mult: 17.0ms (71.8% of total)ival-add: 4.0ms (16.9% of total)ival-sub: 2.0ms (8.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.3% | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 21 to 11 computations (47.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| ✓ | cost-diff | 320 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
| ✓ | cost-diff | 576 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 19 136× | lower-fma.f64 |
| 19 136× | lower-fma.f32 |
| 2 550× | lower-+.f32 |
| 2 546× | lower-+.f64 |
| 2 546× | lower-*.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 65 |
| 0 | 20 | 65 |
| 1 | 34 | 59 |
| 2 | 65 | 59 |
| 3 | 151 | 53 |
| 4 | 358 | 53 |
| 5 | 1010 | 53 |
| 6 | 1929 | 53 |
| 7 | 4829 | 53 |
| 8 | 7194 | 53 |
| 0 | 8107 | 53 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 x.re x.re) |
x.re |
(*.f64 x.im x.im) |
x.im |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
| Outputs |
|---|
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im (neg.f64 x.im)))) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
(*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) |
(*.f64 x.re x.re) |
x.re |
(*.f64 x.im x.im) |
x.im |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re (+.f64 x.im x.im)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(*.f64 x.re x.im) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| ✓ | accuracy | 95.9% | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| ✓ | accuracy | 94.4% | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| ✓ | accuracy | 92.9% | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
| 27.0ms | 256× | 0 | valid |
Compiled 67 to 13 computations (80.6% saved)
ival-mult: 16.0ms (84.3% of total)ival-add: 2.0ms (10.5% of total)ival-sub: 1.0ms (5.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)> |
#<alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))> |
#<alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))> |
#<alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)> |
| Outputs |
|---|
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))> |
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))> |
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (- (pow x.re 2) (pow x.im 2))> |
#<alt (- (pow x.re 2) (pow x.im 2))> |
#<alt (- (pow x.re 2) (pow x.im 2))> |
#<alt (pow x.re 2)> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (pow x.re 2)> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (pow x.re 2)> |
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))> |
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))> |
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x.im | @ | 0 | (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 1.0ms | x.im | @ | 0 | (* (- (* x.re x.re) (* x.im x.im)) x.im) |
| 1.0ms | x.im | @ | inf | (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 1.0ms | x.re | @ | 0 | (* (- (* x.re x.re) (* x.im x.im)) x.im) |
| 1.0ms | x.re | @ | inf | (* (- (* x.re x.re) (* x.im x.im)) x.im) |
| 1× | batch-egg-rewrite |
| 408× | lower-fma.f64 |
| 408× | lower-fma.f32 |
| 338× | lower-*.f32 |
| 326× | lower-*.f64 |
| 150× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 44 |
| 0 | 20 | 44 |
| 1 | 79 | 36 |
| 0 | 536 | 35 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| Outputs |
|---|
(+.f64 (*.f64 x.im (*.f64 x.re x.re)) (*.f64 x.im (neg.f64 (*.f64 x.im x.im)))) |
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (neg.f64 (*.f64 x.im x.im)) x.im)) |
(fma.f64 (*.f64 x.re x.re) x.im (*.f64 (neg.f64 (*.f64 x.im x.im)) x.im)) |
(fma.f64 x.im (*.f64 x.re x.re) (*.f64 x.im (neg.f64 (*.f64 x.im x.im)))) |
(/.f64 (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))) |
(/.f64 (*.f64 x.im (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (fma.f64 x.re x.re (*.f64 x.im x.im))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) x.im) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) |
(*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) |
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im) |
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) |
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(+.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(+.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(-.f64 (/.f64 (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))))) |
(fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(fma.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)))))) (fma.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)))))) (fma.f64 x.re (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (-.f64 (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (*.f64 (*.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (+.f64 x.im x.im))) x.re)))) |
(/.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im))))))) (neg.f64 (fma.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))))) (neg.f64 (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)))) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))))))) |
(*.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))))) |
(+.f64 (*.f64 x.re x.re) (neg.f64 (*.f64 x.im x.im))) |
(+.f64 (neg.f64 (*.f64 x.im x.im)) (*.f64 x.re x.re)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(-.f64 (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))) (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))))) |
(-.f64 (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (fma.f64 x.re x.re (*.f64 x.im x.im))) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (fma.f64 x.re x.re (*.f64 x.im x.im)))) |
(fma.f64 x.re x.re (neg.f64 (*.f64 x.im x.im))) |
(fma.f64 x.im (neg.f64 x.im) (*.f64 x.re x.re)) |
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) |
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (neg.f64 (*.f64 x.im x.im))) |
(/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))) |
(/.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (fma.f64 x.re x.re (*.f64 x.im x.im))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (neg.f64 (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)))) |
(/.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (pow.f64 (neg.f64 (*.f64 x.im x.im)) #s(literal 3 binary64))) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (-.f64 (*.f64 (neg.f64 (*.f64 x.im x.im)) (neg.f64 (*.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (neg.f64 (*.f64 x.im x.im)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) |
(/.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (neg.f64 (*.f64 x.im x.im)) (neg.f64 (*.f64 x.im x.im)))) (-.f64 (*.f64 x.re x.re) (neg.f64 (*.f64 x.im x.im)))) |
(*.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))))) |
(*.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) |
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(+.f64 (*.f64 x.re (*.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re x.im))) |
(+.f64 (*.f64 (*.f64 x.re x.im) x.re) (*.f64 (*.f64 x.re x.im) x.re)) |
(fma.f64 x.re (*.f64 x.re x.im) (*.f64 x.re (*.f64 x.re x.im))) |
(fma.f64 (*.f64 x.re x.im) x.re (*.f64 (*.f64 x.re x.im) x.re)) |
(/.f64 (*.f64 x.re (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64))) |
(/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im))) x.re) (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) |
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) |
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) |
| 1× | egg-herbie |
| 11 892× | lower-fma.f64 |
| 11 892× | lower-fma.f32 |
| 3 492× | lower-*.f64 |
| 3 492× | lower-*.f32 |
| 1 186× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 771 |
| 1 | 177 | 735 |
| 2 | 582 | 735 |
| 3 | 2570 | 735 |
| 4 | 6944 | 735 |
| 0 | 8427 | 735 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(* x.im (pow x.re 2)) |
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(* -1 (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 2) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
| Outputs |
|---|
(* -1 (pow x.im 3)) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(* x.im (pow x.re 2)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(* x.im (pow x.re 2)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(* x.im (pow x.re 2)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(* -1 (pow x.im 3)) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(* -1 (pow x.im 3)) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(* -1 (pow x.im 3)) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(* -1 (pow x.im 3)) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(* -1 (pow x.im 3)) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(* -1 (pow x.im 2)) |
(*.f64 x.im (neg.f64 x.im)) |
(- (pow x.re 2) (pow x.im 2)) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(- (pow x.re 2) (pow x.im 2)) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(- (pow x.re 2) (pow x.im 2)) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(* -1 (pow x.im 2)) |
(*.f64 x.im (neg.f64 x.im)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(* -1 (pow x.im 2)) |
(*.f64 x.im (neg.f64 x.im)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64))) |
Compiled 3 792 to 244 computations (93.6% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 149 | 10 | 159 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 150 | 10 | 160 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.4% | (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
| 16.5% | (/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)))) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))) | |
| ▶ | 21.4% | (/.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) |
| 21.4% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))))) | |
| 39.0% | (+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| ▶ | 42.3% | (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 41.9% | (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (fma.f64 x.re x.re (*.f64 x.im x.im))) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 57.6% | (*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) | |
| ▶ | 88.6% | (*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
| ▶ | 62.2% | (*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
Compiled 656 to 248 computations (62.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) |
| ✓ | cost-diff | 320 | (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
| ✓ | cost-diff | 320 | (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
| ✓ | cost-diff | 4480 | (/.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) |
| ✓ | cost-diff | 320 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
| ✓ | cost-diff | 448 | (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) |
| ✓ | cost-diff | 1728 | (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) |
| ✓ | cost-diff | 0 | (*.f64 x.im (neg.f64 x.im)) |
| ✓ | cost-diff | 0 | (*.f64 x.re x.re) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))) |
| ✓ | cost-diff | 0 | (*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
| ✓ | cost-diff | 0 | (neg.f64 x.im) |
| ✓ | cost-diff | 0 | (*.f64 x.im (neg.f64 x.im)) |
| ✓ | cost-diff | 0 | (*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
| ✓ | cost-diff | 0 | (-.f64 x.re x.im) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 x.re x.im) x.im) |
| ✓ | cost-diff | 0 | (+.f64 x.re x.im) |
| ✓ | cost-diff | 320 | (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
| 14 708× | lower-fma.f32 |
| 14 700× | lower-fma.f64 |
| 4 312× | lower-*.f32 |
| 4 278× | lower-*.f64 |
| 2 674× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 410 |
| 0 | 68 | 383 |
| 1 | 134 | 315 |
| 2 | 320 | 296 |
| 3 | 1747 | 296 |
| 4 | 4383 | 296 |
| 0 | 8182 | 289 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(+.f64 x.re x.im) |
x.re |
x.im |
(*.f64 (-.f64 x.re x.im) x.im) |
(-.f64 x.re x.im) |
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) |
(*.f64 x.re (+.f64 x.im x.im)) |
(+.f64 x.im x.im) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
x.im |
(*.f64 x.im (neg.f64 x.im)) |
(neg.f64 x.im) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
x.im |
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))) |
#s(literal 3 binary64) |
(*.f64 x.re x.re) |
x.re |
(*.f64 x.im (neg.f64 x.im)) |
(neg.f64 x.im) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) |
(fma.f64 x.re x.re (*.f64 x.im x.im)) |
x.re |
(*.f64 x.im x.im) |
x.im |
(*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) |
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) |
(+.f64 x.re x.im) |
(-.f64 x.re x.im) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(/.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) |
(*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) |
(fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
x.re |
(*.f64 x.re (+.f64 x.im x.im)) |
(+.f64 x.im x.im) |
x.im |
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(*.f64 x.im (+.f64 x.re x.im)) |
(+.f64 x.re x.im) |
(-.f64 x.re x.im) |
(-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) |
| Outputs |
|---|
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(*.f64 x.im (fma.f64 x.re (+.f64 x.re x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) |
(+.f64 x.re x.im) |
x.re |
x.im |
(*.f64 (-.f64 x.re x.im) x.im) |
(*.f64 x.im (-.f64 x.re x.im)) |
(-.f64 x.re x.im) |
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) |
(*.f64 x.re (+.f64 x.im x.im)) |
(+.f64 x.im x.im) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(*.f64 (neg.f64 x.im) (*.f64 x.im x.im)) |
x.im |
(*.f64 x.im (neg.f64 x.im)) |
(neg.f64 (*.f64 x.im x.im)) |
(neg.f64 x.im) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))) |
x.im |
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))) |
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
#s(literal 3 binary64) |
(*.f64 x.re x.re) |
x.re |
(*.f64 x.im (neg.f64 x.im)) |
(neg.f64 (*.f64 x.im x.im)) |
(neg.f64 x.im) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 x.im (fma.f64 x.re (+.f64 x.re x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) |
(*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) |
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) |
(fma.f64 x.re x.re (*.f64 x.im x.im)) |
(fma.f64 x.im x.im (*.f64 x.re x.re)) |
x.re |
(*.f64 x.im x.im) |
x.im |
(*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) |
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) |
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) |
(+.f64 x.re x.im) |
(-.f64 x.re x.im) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re (+.f64 x.im x.im)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(*.f64 x.re x.im) |
(/.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) |
(*.f64 x.im (fma.f64 x.re (+.f64 x.re x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) |
(*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) |
(*.f64 x.im (*.f64 (*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (*.f64 (*.f64 x.re x.re) #s(literal -2 binary64)))) (fma.f64 x.re (+.f64 x.re x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) |
(fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(*.f64 x.im (fma.f64 x.re (+.f64 x.re x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) |
x.re |
(*.f64 x.re (+.f64 x.im x.im)) |
(+.f64 x.im x.im) |
x.im |
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) |
(*.f64 x.im (+.f64 x.re x.im)) |
(+.f64 x.re x.im) |
(-.f64 x.re x.im) |
(-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (*.f64 (*.f64 x.re x.re) #s(literal -2 binary64)))) |
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) |
| ✓ | accuracy | 95.7% | (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
| ✓ | accuracy | 86.7% | (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
| ✓ | accuracy | 24.0% | (/.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) |
| ✓ | accuracy | 94.4% | (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| ✓ | accuracy | 92.9% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) |
| ✓ | accuracy | 29.1% | (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) |
| ✓ | accuracy | 100.0% | (*.f64 x.im (neg.f64 x.im)) |
| ✓ | accuracy | 100.0% | (neg.f64 x.im) |
| ✓ | accuracy | 95.9% | (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))) |
| ✓ | accuracy | 92.9% | (*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
| ✓ | accuracy | 100.0% | (*.f64 x.im (neg.f64 x.im)) |
| ✓ | accuracy | 100.0% | (neg.f64 x.im) |
| ✓ | accuracy | 99.9% | (*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 x.re x.im) x.im) |
| ✓ | accuracy | 100.0% | (*.f64 x.re (+.f64 x.im x.im)) |
| ✓ | accuracy | 99.8% | (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) |
| ✓ | accuracy | 94.4% | (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
| 67.0ms | 256× | 0 | valid |
Compiled 428 to 39 computations (90.9% saved)
ival-mult: 26.0ms (60.4% of total)ival-add: 8.0ms (18.6% of total)ival-div: 5.0ms (11.6% of total)ival-sub: 2.0ms (4.6% of total)ival-neg: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))> |
#<alt (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))> |
#<alt (*.f64 x.re (+.f64 x.im x.im))> |
#<alt (*.f64 (-.f64 x.re x.im) x.im)> |
#<alt (*.f64 x.im (*.f64 x.im (neg.f64 x.im)))> |
#<alt (neg.f64 x.im)> |
#<alt (*.f64 x.im (neg.f64 x.im))> |
#<alt (*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))> |
#<alt (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))> |
#<alt (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im)> |
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))> |
#<alt (/.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))))> |
#<alt (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))> |
#<alt (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))> |
| Outputs |
|---|
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))> |
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))> |
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))> |
#<alt (* x.im x.re)> |
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))> |
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))> |
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))> |
#<alt (* x.im x.re)> |
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))> |
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))> |
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))> |
#<alt (* x.im x.re)> |
#<alt (* x.im (+ x.re (* -1 x.im)))> |
#<alt (* x.im (+ x.re (* -1 x.im)))> |
#<alt (* x.im (+ x.re (* -1 x.im)))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 x.im)> |
#<alt (* -1 x.im)> |
#<alt (* -1 x.im)> |
#<alt (* -1 x.im)> |
#<alt (* -1 x.im)> |
#<alt (* -1 x.im)> |
#<alt (* -1 x.im)> |
#<alt (* -1 x.im)> |
#<alt (* -1 x.im)> |
#<alt (* -1 x.im)> |
#<alt (* -1 x.im)> |
#<alt (* -1 x.im)> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))> |
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))> |
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))> |
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))> |
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))> |
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))> |
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (/ -1 (pow x.im 2))> |
#<alt (- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))> |
#<alt (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))> |
#<alt (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))> |
#<alt (/ 1 (pow x.re 2))> |
#<alt (/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))) (pow x.re 2)))) (+ (* -1 (/ x.im x.re)) (/ x.im x.re))) (pow x.re 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))))) (* (pow x.im 2) (+ x.im (* -1 x.im)))) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2))) (/ x.im x.re))))) (pow x.re 2))> |
#<alt (/ 1 (pow x.re 2))> |
#<alt (/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x.im 2) x.re)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) x.re))) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (/ (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2))> |
#<alt (/ 1 (pow x.re 2))> |
#<alt (+ (/ 1 (pow x.re 2)) (/ (pow x.im 2) (pow x.re 4)))> |
#<alt (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 4)) (/ (pow x.im 2) (pow x.re 6)))) (/ 1 (pow x.re 2)))> |
#<alt (+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 6)) (/ (pow x.im 2) (pow x.re 8)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))> |
#<alt (/ -1 (pow x.im 2))> |
#<alt (/ (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1) (pow x.im 2))> |
#<alt (/ (- (* -1 (/ (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2)) (pow x.im 2))) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))) (pow x.im 2))> |
#<alt (/ (- (* -1 (/ (+ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) (* (pow x.re 2) (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 2))))))) (pow x.im 2))> |
#<alt (/ -1 (pow x.im 2))> |
#<alt (/ (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1) (pow x.im 2))> |
#<alt (/ (- (* -1 (/ (- (+ (/ (pow x.re 2) x.im) (/ (pow (+ x.re (* -1 x.re)) 2) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2))> |
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im) (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) x.im)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))> |
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))> |
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))> |
#<alt (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))> |
#<alt (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))> |
#<alt (pow x.re 2)> |
#<alt (* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))> |
#<alt (* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))> |
#<alt (* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))> |
#<alt (pow x.re 2)> |
#<alt (* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (/ (pow x.im 2) x.re)) x.re))))> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (/ (pow x.im 2) x.re)) x.re))))> |
#<alt (pow x.re 2)> |
#<alt (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))> |
#<alt (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))> |
#<alt (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))> |
#<alt (* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))> |
#<alt (* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))> |
#<alt (* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))) x.im)) 1))> |
#<alt (* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))) x.im)) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))> |
#<alt (* x.im (- (pow x.re 2) (* 2 (pow x.re 2))))> |
#<alt (* x.im (- (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)) (* 2 (pow x.re 2))))> |
#<alt (* x.im (- (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)) (* 2 (pow x.re 2))))> |
#<alt (* x.im (- (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)) (* 2 (pow x.re 2))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) (+ 1 (* 2 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) (+ 1 (* 2 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) (* -2 (pow x.re 2))) x.im))) x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) (* -2 (pow x.re 2))) x.im))) x.im)))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (- x.im (* 2 x.im))))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (- x.im (* 2 x.im))))))> |
#<alt (* (pow x.re 2) (- x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (- (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* 2 x.im)))> |
#<alt (* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))) (* 2 x.im)))> |
#<alt (* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))) (* 2 x.im)))> |
#<alt (* (pow x.re 2) (- x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (- (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* 2 x.im)))> |
#<alt (* (pow x.re 2) (- (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))) (* 2 x.im)))> |
#<alt (* (pow x.re 2) (- (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))) (* 2 x.im)))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x.im | @ | inf | (/ (+ (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.re) (* x.im x.im)) (* (+ x.re x.im) (- x.re x.im)))) |
| 3.0ms | x.im | @ | inf | (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* x.re (* x.re (+ x.im x.im)))) |
| 1.0ms | x.im | @ | -inf | (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* x.re (* x.re (+ x.im x.im)))) |
| 1.0ms | x.im | @ | 0 | (/ (+ (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.re) (* x.im x.im)) (* (+ x.re x.im) (- x.re x.im)))) |
| 0.0ms | x.re | @ | inf | (/ (+ (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.re) (* x.im x.im)) (* (+ x.re x.im) (- x.re x.im)))) |
| 1× | batch-egg-rewrite |
| 7 512× | lower-fma.f32 |
| 7 504× | lower-fma.f64 |
| 4 156× | lower-/.f32 |
| 4 150× | lower-/.f64 |
| 3 864× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 254 |
| 0 | 68 | 201 |
| 1 | 263 | 127 |
| 2 | 2172 | 127 |
| 0 | 8374 | 127 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) |
(*.f64 x.re (+.f64 x.im x.im)) |
(*.f64 (-.f64 x.re x.im) x.im) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(neg.f64 x.im) |
(*.f64 x.im (neg.f64 x.im)) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))) |
(/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) |
(/.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) |
(-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
| Outputs |
|---|
(+.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) (/.f64 (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))))) |
(-.f64 (/.f64 (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im))) (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)))) (/.f64 (*.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im))) (neg.f64 (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im))))) |
(fma.f64 x.re (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
(fma.f64 x.im #s(literal 2 binary64) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
(fma.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (+.f64 x.im x.im)) |
(fma.f64 x.im (+.f64 x.re x.re) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im)) |
(fma.f64 (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.re x.im) (+.f64 x.im x.im)) |
(fma.f64 (+.f64 x.im x.im) x.re (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
(fma.f64 (+.f64 x.im x.im) (*.f64 x.re x.re) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
(fma.f64 (+.f64 x.im x.im) (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
(fma.f64 (+.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
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(fma.f64 x.re x.im (*.f64 x.re x.im)) |
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(fma.f64 x.im x.re (*.f64 x.re x.im)) |
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(/.f64 (fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))) (*.f64 (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (+.f64 x.im x.im)) x.re))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))) (fma.f64 x.im x.im #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) (*.f64 (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))))) (*.f64 (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im))) (*.f64 (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)))) (*.f64 (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) (+.f64 x.im x.im)) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64))) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)))) (neg.f64 (*.f64 (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) (+.f64 x.im x.im)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) (+.f64 x.im x.im)))) (neg.f64 (neg.f64 (fma.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) (*.f64 (+.f64 x.im x.im) (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))))) (neg.f64 (neg.f64 (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) (+.f64 x.im x.im)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64))) (fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) (+.f64 x.im x.im))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) (*.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) (*.f64 (+.f64 x.im x.im) (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))))) (fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) (+.f64 x.im x.im))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im))) |
(*.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)) (*.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im))))) |
(*.f64 (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)) (/.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)))) |
(*.f64 (*.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im))))) |
(*.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) (+.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64))))) |
(*.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) (+.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) (*.f64 (+.f64 x.im x.im) (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im))) (*.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im))) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))))) (+.f64 x.im x.im))) (fma.f64 (*.f64 x.im x.im) (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 (+.f64 x.im x.im) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im))))) |
| 1× | egg-herbie |
| 8 354× | lower-fma.f64 |
| 8 354× | lower-fma.f32 |
| 2 780× | lower-*.f64 |
| 2 780× | lower-*.f32 |
| 2 092× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 333 | 4110 |
| 1 | 1093 | 3122 |
| 2 | 4419 | 2879 |
| 0 | 8205 | 2827 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* -1 (pow x.im 2)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(* x.im x.re) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(* x.im x.re) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(* x.im x.re) |
(* x.im (+ x.re (* -1 x.im))) |
(* x.im (+ x.re (* -1 x.im))) |
(* x.im (+ x.re (* -1 x.im))) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 x.im) |
(* -1 x.im) |
(* -1 x.im) |
(* -1 x.im) |
(* -1 x.im) |
(* -1 x.im) |
(* -1 x.im) |
(* -1 x.im) |
(* -1 x.im) |
(* -1 x.im) |
(* -1 x.im) |
(* -1 x.im) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* 3 (* x.im (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(* 3 (* x.im (pow x.re 2))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* 3 (* x.im (pow x.re 2))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* -1 (pow x.im 2)) |
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) |
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) |
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) |
(* 3 (pow x.re 2)) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* 3 (pow x.re 2)) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* 3 (pow x.re 2)) |
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) |
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) |
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(/ -1 (pow x.im 2)) |
(- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))) |
(- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) |
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) |
(/ 1 (pow x.re 2)) |
(/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))) (pow x.re 2)))) (+ (* -1 (/ x.im x.re)) (/ x.im x.re))) (pow x.re 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))))) (* (pow x.im 2) (+ x.im (* -1 x.im)))) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2))) (/ x.im x.re))))) (pow x.re 2)) |
(/ 1 (pow x.re 2)) |
(/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x.im 2) x.re)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) x.re))) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (/ (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2)) |
(/ 1 (pow x.re 2)) |
(+ (/ 1 (pow x.re 2)) (/ (pow x.im 2) (pow x.re 4))) |
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 4)) (/ (pow x.im 2) (pow x.re 6)))) (/ 1 (pow x.re 2))) |
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 6)) (/ (pow x.im 2) (pow x.re 8)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))) |
(/ -1 (pow x.im 2)) |
(/ (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1) (pow x.im 2)) |
(/ (- (* -1 (/ (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2)) (pow x.im 2))) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))) (pow x.im 2)) |
(/ (- (* -1 (/ (+ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) (* (pow x.re 2) (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 2))))))) (pow x.im 2)) |
(/ -1 (pow x.im 2)) |
(/ (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1) (pow x.im 2)) |
(/ (- (* -1 (/ (- (+ (/ (pow x.re 2) x.im) (/ (pow (+ x.re (* -1 x.re)) 2) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im) (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) x.im)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2)) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)))) |
(* x.im (pow x.re 2)) |
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))) |
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) |
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im))))) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(* -1 (pow x.im 2)) |
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) |
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) |
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) |
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (/ (pow x.im 2) x.re)) x.re)))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (/ (pow x.im 2) x.re)) x.re)))) |
(pow x.re 2) |
(+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)) |
(+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)) |
(+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1)) |
(* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))) x.im)) 1)) |
(* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))) x.im)) 1)) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(* x.im (- (pow x.re 2) (* 2 (pow x.re 2)))) |
(* x.im (- (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)) (* 2 (pow x.re 2)))) |
(* x.im (- (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)) (* 2 (pow x.re 2)))) |
(* x.im (- (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)) (* 2 (pow x.re 2)))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) (+ 1 (* 2 (/ (pow x.re 2) (pow x.im 2)))))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) (+ 1 (* 2 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) (* -2 (pow x.re 2))) x.im))) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) (* -2 (pow x.re 2))) x.im))) x.im))))) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (- x.im (* 2 x.im)))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (- x.im (* 2 x.im)))))) |
(* (pow x.re 2) (- x.im (* 2 x.im))) |
(* (pow x.re 2) (- (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* 2 x.im))) |
(* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))) (* 2 x.im))) |
(* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))) (* 2 x.im))) |
(* (pow x.re 2) (- x.im (* 2 x.im))) |
(* (pow x.re 2) (- (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* 2 x.im))) |
(* (pow x.re 2) (- (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))) (* 2 x.im))) |
(* (pow x.re 2) (- (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))) (* 2 x.im))) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
| Outputs |
|---|
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -1 binary64))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -1 binary64))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -1 binary64))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -1 binary64))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* -1 (pow x.im 2)) |
(neg.f64 (*.f64 x.im x.im)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(*.f64 x.im (-.f64 x.re x.im)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(*.f64 x.im (-.f64 x.re x.im)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(*.f64 x.im (-.f64 x.re x.im)) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.im (+ x.re (* -1 x.im))) |
(*.f64 x.im (-.f64 x.re x.im)) |
(* x.im (+ x.re (* -1 x.im))) |
(*.f64 x.im (-.f64 x.re x.im)) |
(* x.im (+ x.re (* -1 x.im))) |
(*.f64 x.im (-.f64 x.re x.im)) |
(* -1 (pow x.im 2)) |
(neg.f64 (*.f64 x.im x.im)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) |
(* -1 (pow x.im 2)) |
(neg.f64 (*.f64 x.im x.im)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 x.im) |
(neg.f64 x.im) |
(* -1 x.im) |
(neg.f64 x.im) |
(* -1 x.im) |
(neg.f64 x.im) |
(* -1 x.im) |
(neg.f64 x.im) |
(* -1 x.im) |
(neg.f64 x.im) |
(* -1 x.im) |
(neg.f64 x.im) |
(* -1 x.im) |
(neg.f64 x.im) |
(* -1 x.im) |
(neg.f64 x.im) |
(* -1 x.im) |
(neg.f64 x.im) |
(* -1 x.im) |
(neg.f64 x.im) |
(* -1 x.im) |
(neg.f64 x.im) |
(* -1 x.im) |
(neg.f64 x.im) |
(* -1 (pow x.im 2)) |
(neg.f64 (*.f64 x.im x.im)) |
(* -1 (pow x.im 2)) |
(neg.f64 (*.f64 x.im x.im)) |
(* -1 (pow x.im 2)) |
(neg.f64 (*.f64 x.im x.im)) |
(* -1 (pow x.im 2)) |
(neg.f64 (*.f64 x.im x.im)) |
(* -1 (pow x.im 2)) |
(neg.f64 (*.f64 x.im x.im)) |
(* -1 (pow x.im 2)) |
(neg.f64 (*.f64 x.im x.im)) |
(* -1 (pow x.im 2)) |
(neg.f64 (*.f64 x.im x.im)) |
(* -1 (pow x.im 2)) |
(neg.f64 (*.f64 x.im x.im)) |
(* -1 (pow x.im 2)) |
(neg.f64 (*.f64 x.im x.im)) |
(* -1 (pow x.im 2)) |
(neg.f64 (*.f64 x.im x.im)) |
(* -1 (pow x.im 2)) |
(neg.f64 (*.f64 x.im x.im)) |
(* -1 (pow x.im 2)) |
(neg.f64 (*.f64 x.im x.im)) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -1 binary64))) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
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(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -1 binary64))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -1 binary64))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -1 binary64))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -1 binary64))) |
Compiled 215 264 to 6 890 computations (96.8% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 051 | 12 | 4 063 |
| Fresh | 4 | 1 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 4 058 | 15 | 4 073 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 17.5% | (fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 x.im x.im)) |
| 55.8% | (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im)) | |
| ▶ | 92.2% | (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
| ▶ | 57.3% | (fma.f64 (+.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
| 84.7% | (fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.im (*.f64 x.im (neg.f64 x.im)))) | |
| ▶ | 55.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)))) |
| 81.5% | (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 x.im (-.f64 x.re x.im))) (-.f64 x.re x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 87.4% | (+.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 69.2% | (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 87.4% | (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im)) (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 62.3% | (*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))) | |
| 57.6% | (*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) | |
| ✓ | 88.6% | (*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
| ✓ | 62.2% | (*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
| ▶ | 50.7% | (*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
Compiled 517 to 275 computations (46.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x.im x.im) |
| ✓ | cost-diff | 0 | (fma.f64 x.re x.re (*.f64 x.im x.im)) |
| ✓ | cost-diff | 0 | (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) |
| ✓ | cost-diff | 2624 | (fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 x.im x.im)) |
| ✓ | cost-diff | 0 | (+.f64 x.re x.im) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im))) |
| ✓ | cost-diff | 192 | (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)))) |
| ✓ | cost-diff | 0 | (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) |
| ✓ | cost-diff | 0 | (*.f64 x.im x.re) |
| ✓ | cost-diff | 0 | (+.f64 x.re x.im) |
| ✓ | cost-diff | 704 | (fma.f64 (+.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
| ✓ | cost-diff | 0 | (*.f64 x.re x.re) |
| ✓ | cost-diff | 0 | (*.f64 x.im (*.f64 x.re x.re)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
| ✓ | cost-diff | 0 | (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) |
| ✓ | cost-diff | 0 | (+.f64 x.re x.im) |
| ✓ | cost-diff | 320 | (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
| ✓ | cost-diff | 1024 | (*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)) |
| 17 756× | lower-fma.f32 |
| 17 744× | lower-fma.f64 |
| 4 078× | lower-*.f32 |
| 4 056× | lower-*.f64 |
| 2 544× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 253 |
| 0 | 59 | 239 |
| 1 | 126 | 238 |
| 2 | 398 | 231 |
| 3 | 1749 | 220 |
| 4 | 3781 | 214 |
| 0 | 8123 | 208 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 x.re x.im) (*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(+.f64 x.re x.im) |
x.re |
x.im |
(*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)) |
(fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) |
(neg.f64 x.im) |
(/.f64 x.im x.re) |
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) |
(*.f64 x.re (+.f64 x.im x.im)) |
(+.f64 x.im x.im) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
#s(literal 3 binary64) |
(*.f64 x.im (*.f64 x.re x.re)) |
x.im |
(*.f64 x.re x.re) |
x.re |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(+.f64 x.re x.im) |
x.re |
x.im |
(*.f64 x.im x.re) |
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) |
(*.f64 x.re (+.f64 x.im x.im)) |
(+.f64 x.im x.im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) |
(+.f64 x.re x.im) |
x.re |
x.im |
(*.f64 x.im (-.f64 x.re x.im)) |
(-.f64 x.re x.im) |
(+.f64 x.im x.im) |
(fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 x.im x.im)) |
(/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) |
x.im |
(fma.f64 x.re x.re (*.f64 x.im x.im)) |
x.re |
(*.f64 x.im x.im) |
(*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) |
(-.f64 x.re x.im) |
(*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) |
(+.f64 x.re x.im) |
(+.f64 x.im x.im) |
| Outputs |
|---|
(fma.f64 (+.f64 x.re x.im) (*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(*.f64 x.im (fma.f64 x.re (+.f64 x.re x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) |
(+.f64 x.re x.im) |
x.re |
x.im |
(*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)) |
(*.f64 x.im (-.f64 x.re x.im)) |
(fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) |
(-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) |
(neg.f64 x.im) |
(/.f64 x.im x.re) |
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) |
(*.f64 x.re (*.f64 x.im (+.f64 x.re x.re))) |
(*.f64 x.re (+.f64 x.im x.im)) |
(*.f64 x.im (+.f64 x.re x.re)) |
(+.f64 x.im x.im) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))) |
#s(literal 3 binary64) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 x.re (*.f64 x.re x.im)) |
x.im |
(*.f64 x.re x.re) |
x.re |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(*.f64 x.re (*.f64 x.im (fma.f64 x.re #s(literal 3 binary64) x.im))) |
(+.f64 x.re x.im) |
x.re |
x.im |
(*.f64 x.im x.re) |
(*.f64 x.re x.im) |
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) |
(*.f64 x.re (*.f64 x.im (+.f64 x.re x.re))) |
(*.f64 x.re (+.f64 x.im x.im)) |
(*.f64 x.im (+.f64 x.re x.re)) |
(+.f64 x.im x.im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)))) |
(*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im))) |
(/.f64 #s(literal 1 binary64) (*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 2 binary64)))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) |
(*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 2 binary64))) |
(+.f64 x.re x.im) |
x.re |
x.im |
(*.f64 x.im (-.f64 x.re x.im)) |
(-.f64 x.re x.im) |
(+.f64 x.im x.im) |
(fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 x.im x.im)) |
(*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 2 binary64))) |
(/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) |
x.im |
(fma.f64 x.re x.re (*.f64 x.im x.im)) |
x.re |
(*.f64 x.im x.im) |
(*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) |
(*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) |
(-.f64 x.re x.im) |
(*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) |
(+.f64 x.re x.im) |
(+.f64 x.im x.im) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) |
| ✓ | accuracy | 99.9% | (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) |
| ✓ | accuracy | 74.7% | (fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 x.im x.im)) |
| ✓ | accuracy | 72.9% | (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) |
| ✓ | accuracy | 100.0% | (*.f64 x.im (-.f64 x.re x.im)) |
| ✓ | accuracy | 99.8% | (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)))) |
| ✓ | accuracy | 98.7% | (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im))) |
| ✓ | accuracy | 100.0% | (*.f64 x.re (+.f64 x.im x.im)) |
| ✓ | accuracy | 100.0% | (*.f64 x.im x.re) |
| ✓ | accuracy | 99.8% | (fma.f64 (+.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
| ✓ | accuracy | 99.8% | (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) |
| ✓ | accuracy | 100.0% | (*.f64 x.re x.re) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
| ✓ | accuracy | 87.3% | (*.f64 x.im (*.f64 x.re x.re)) |
| ✓ | accuracy | 99.9% | (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) |
| ✓ | accuracy | 99.8% | (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) |
| ✓ | accuracy | 94.4% | (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
| ✓ | accuracy | 93.4% | (*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)) |
| 59.0ms | 256× | 0 | valid |
Compiled 270 to 36 computations (86.7% saved)
ival-mult: 22.0ms (54.9% of total)ival-add: 9.0ms (22.5% of total)ival-div: 6.0ms (15% of total)ival-sub: 1.0ms (2.5% of total)ival-neg: 1.0ms (2.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im))> |
#<alt (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))> |
#<alt (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))> |
#<alt (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)> |
#<alt (*.f64 x.im (*.f64 x.re x.re))> |
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))> |
#<alt (*.f64 x.re x.re)> |
#<alt (fma.f64 (+.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))> |
#<alt (*.f64 x.im x.re)> |
#<alt (*.f64 x.re (+.f64 x.im x.im))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im))))> |
#<alt (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im))> |
#<alt (*.f64 x.im (-.f64 x.re x.im))> |
#<alt (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im)))> |
#<alt (fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 x.im x.im))> |
#<alt (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))> |
#<alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))> |
| Outputs |
|---|
#<alt (* -1 (pow x.im 2))> |
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))> |
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))> |
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))> |
#<alt (* x.im x.re)> |
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))> |
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))> |
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))> |
#<alt (* x.im x.re)> |
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))> |
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))> |
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))> |
#<alt (* x.im x.re)> |
#<alt (* x.im (+ x.re (* -1 x.im)))> |
#<alt (* x.im (+ x.re (* -1 x.im)))> |
#<alt (* x.im (+ x.re (* -1 x.im)))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* 2 x.im))) (pow x.im 2)))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* 2 x.im))) (pow x.im 2)))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* 2 x.im) (/ (pow x.im 2) x.re)))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (pow x.im 2) x.re))))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (pow x.im 2) x.re))))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* 2 x.im) (/ (pow x.im 2) x.re)))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (+ (* -1 (pow x.im 2)) (pow x.im 2))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (+ (* -1 (pow x.im 2)) (pow x.im 2))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt x.im> |
#<alt (* x.im (+ 1 (* -1 (/ x.im x.re))))> |
#<alt (* x.im (+ 1 (* -1 (/ x.im x.re))))> |
#<alt (* x.im (+ 1 (* -1 (/ x.im x.re))))> |
#<alt (* -1 (/ (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re)))> |
#<alt (* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re)))> |
#<alt (* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re)))> |
#<alt (* -1 (/ (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re)))> |
#<alt (* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re)))> |
#<alt (* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re)))> |
#<alt (* -1 (/ (pow x.im 2) x.re))> |
#<alt (/ (+ (* -1 (pow x.im 2)) (* x.im x.re)) x.re)> |
#<alt (/ (+ (* -1 (pow x.im 2)) (* x.im x.re)) x.re)> |
#<alt (/ (+ (* -1 (pow x.im 2)) (* x.im x.re)) x.re)> |
#<alt x.im> |
#<alt (+ x.im (* -1 (/ (pow x.im 2) x.re)))> |
#<alt (+ x.im (* -1 (/ (pow x.im 2) x.re)))> |
#<alt (+ x.im (* -1 (/ (pow x.im 2) x.re)))> |
#<alt x.im> |
#<alt (+ x.im (* -1 (/ (pow x.im 2) x.re)))> |
#<alt (+ x.im (* -1 (/ (pow x.im 2) x.re)))> |
#<alt (+ x.im (* -1 (/ (pow x.im 2) x.re)))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* x.re (+ (* x.re (+ x.im (* 2 x.im))) (pow x.im 2)))> |
#<alt (* x.re (+ (* x.re (+ x.im (* 2 x.im))) (pow x.im 2)))> |
#<alt (* x.re (+ (* x.re (+ x.im (* 2 x.im))) (pow x.im 2)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (pow x.im 2) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (pow x.im 2) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (pow x.im 2) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (pow x.im 2) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (pow x.im 2) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (pow x.im 2) x.re))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im x.re) (pow x.re 2))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im x.re) (pow x.re 2))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im x.re) (pow x.re 2))))> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) (+ x.re (+ (* 2 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im))))> |
#<alt (* (pow x.im 2) (+ x.re (+ (* 2 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im))))> |
#<alt (* (pow x.im 2) (+ x.re (+ (* 2 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im))))> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) (+ x.re (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))))> |
#<alt (* (pow x.im 2) (+ x.re (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))))> |
#<alt (* (pow x.im 2) (+ x.re (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))))> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (/ 1 (+ (* -1 (pow x.im 3)) (* 2 x.im)))> |
#<alt (+ (* -1 (/ (* x.im (* x.re (+ x.im (* -1 x.im)))) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2))) (/ 1 (+ (* -1 (pow x.im 3)) (* 2 x.im))))> |
#<alt (+ (* x.re (- (* -1 (* x.re (+ (* -1 (/ (* (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 3))) (/ x.im (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2))))) (/ (* x.im (+ x.im (* -1 x.im))) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2)))) (/ 1 (+ (* -1 (pow x.im 3)) (* 2 x.im))))> |
#<alt (+ (* x.re (- (* x.re (- (* -1 (* x.re (+ (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (+ (* -1 (/ (* (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 3))) (/ x.im (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2))))) (+ (* -1 (pow x.im 3)) (* 2 x.im)))) (* -1 (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 3)))))) (+ (* -1 (/ (* (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 3))) (/ x.im (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2))))) (/ (* x.im (+ x.im (* -1 x.im))) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2)))) (/ 1 (+ (* -1 (pow x.im 3)) (* 2 x.im))))> |
#<alt (/ 1 (* x.im (pow x.re 2)))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 x.im) (* 2 (/ 1 x.im))) (pow x.re 2))) (/ 1 x.im)) (pow x.re 2))> |
#<alt (/ (- (+ (/ 1 x.im) (/ (* (+ x.im (* -1 x.im)) (+ (* -1 x.im) (* 2 (/ 1 x.im)))) (pow x.re 3))) (+ (* -1 (/ x.im (pow x.re 2))) (/ 2 (* x.im (pow x.re 2))))) (pow x.re 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 x.im) (* 2 (/ 1 x.im))) (+ (* -1 (pow x.im 3)) (* 2 x.im))) x.im)) (* (pow (+ x.im (* -1 x.im)) 2) (+ (* -1 x.im) (* 2 (/ 1 x.im))))) (pow x.re 4))) (/ 1 x.im)) (+ (* -1 (/ x.im (pow x.re 2))) (+ (* -1 (/ (* (+ x.im (* -1 x.im)) (+ (* -1 x.im) (* 2 (/ 1 x.im)))) (pow x.re 3))) (/ 2 (* x.im (pow x.re 2)))))) (pow x.re 2))> |
#<alt (/ 1 (* x.im (pow x.re 2)))> |
#<alt (/ (+ (* -1 (/ (+ x.im (* -1 x.im)) (* x.im x.re))) (/ 1 x.im)) (pow x.re 2))> |
#<alt (/ (+ (* -1 (/ (- (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (* x.im x.re))) (/ 2 (* x.im x.re)))) (* -1 (/ (+ x.im (* -1 x.im)) x.im))) x.re)) (/ 1 x.im)) (pow x.re 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.im (* -1 x.im)) (+ (* -1 x.im) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) x.im)) (* 2 (/ 1 x.im))))) x.re) (/ (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 3)) (* 2 x.im))) (* (pow x.im 2) x.re))) (+ (* -1 x.im) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) x.im)) (* 2 (/ 1 x.im))))) x.re)) (* -1 (/ (+ x.im (* -1 x.im)) x.im))) x.re)) (/ 1 x.im)) (pow x.re 2))> |
#<alt (/ 1 (* x.im (+ 2 (pow x.re 2))))> |
#<alt (/ (+ (* -1 (* x.im (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 2))) (/ x.re (pow (+ 2 (pow x.re 2)) 2))))) (/ 1 (+ 2 (pow x.re 2)))) x.im)> |
#<alt (/ (+ (* x.im (- (* x.im (- (/ 1 (pow (+ 2 (pow x.re 2)) 2)) (* -1 (/ (* (+ x.re (* -1 x.re)) (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 2))) (/ x.re (pow (+ 2 (pow x.re 2)) 2)))) (+ 2 (pow x.re 2)))))) (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 2))) (/ x.re (pow (+ 2 (pow x.re 2)) 2))))) (/ 1 (+ 2 (pow x.re 2)))) x.im)> |
#<alt (/ (+ (* x.im (- (* x.im (- (+ (* -1 (* x.im (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 3))) (+ (/ x.re (pow (+ 2 (pow x.re 2)) 3)) (/ (* (+ x.re (* -1 x.re)) (- (/ 1 (pow (+ 2 (pow x.re 2)) 2)) (* -1 (/ (* (+ x.re (* -1 x.re)) (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 2))) (/ x.re (pow (+ 2 (pow x.re 2)) 2)))) (+ 2 (pow x.re 2)))))) (+ 2 (pow x.re 2))))))) (/ 1 (pow (+ 2 (pow x.re 2)) 2))) (* -1 (/ (* (+ x.re (* -1 x.re)) (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 2))) (/ x.re (pow (+ 2 (pow x.re 2)) 2)))) (+ 2 (pow x.re 2)))))) (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 2))) (/ x.re (pow (+ 2 (pow x.re 2)) 2))))) (/ 1 (+ 2 (pow x.re 2)))) x.im)> |
#<alt (/ -1 (pow x.im 3))> |
#<alt (/ (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1) (pow x.im 3))> |
#<alt (/ (- (* -1 (/ (+ 2 (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) (pow x.im 2))) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))) (pow x.im 3))> |
#<alt (/ (- (* -1 (/ (+ (* (+ 2 (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) (+ x.re (* -1 x.re))) (* (+ 2 (pow x.re 2)) (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 2)))))))) (pow x.im 3))> |
#<alt (/ -1 (pow x.im 3))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im))) (pow x.im 3)))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- 2 (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (* -1 (+ x.re (* -1 x.re)))) x.im))) (pow x.im 3)))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 2 (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- 2 (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2))))) x.im)) (/ (* (+ x.re (* -1 x.re)) (- (* -1 (pow x.re 2)) 2)) x.im))) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (* -1 (+ x.re (* -1 x.re)))) x.im))) (pow x.im 3)))> |
#<alt (+ (* -1 (pow x.im 3)) (* 2 x.im))> |
#<alt (+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))> |
#<alt (+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))> |
#<alt (+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))> |
#<alt (* x.im (+ 2 (pow x.re 2)))> |
#<alt (* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))> |
#<alt (* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))> |
#<alt (* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))> |
#<alt (+ (* -1 (pow x.im 3)) (* 2 x.im))> |
#<alt (+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))> |
#<alt (+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))> |
#<alt (+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))> |
#<alt (* x.im (+ 2 (pow x.re 2)))> |
#<alt (* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))> |
#<alt (* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))> |
#<alt (* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))> |
#<alt (* x.im x.re)> |
#<alt (* x.im (+ x.re (* -1 x.im)))> |
#<alt (* x.im (+ x.re (* -1 x.im)))> |
#<alt (* x.im (+ x.re (* -1 x.im)))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))> |
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))> |
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))> |
#<alt (* x.im x.re)> |
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))> |
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))> |
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))> |
#<alt (* x.im x.re)> |
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))> |
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))> |
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))> |
#<alt (/ x.im (pow x.re 2))> |
#<alt (* x.im (+ (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2))))> |
#<alt (* x.im (+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 6)) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))))> |
#<alt (* x.im (+ (* (pow x.im 2) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 8))) (/ 1 (pow x.re 6)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))))> |
#<alt (/ 1 x.im)> |
#<alt (/ (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))) x.im)> |
#<alt (/ (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2))) x.im)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2)))) x.im)> |
#<alt (/ 1 x.im)> |
#<alt (* -1 (/ (- (/ (pow x.re 2) (pow x.im 2)) 1) x.im))> |
#<alt (* -1 (/ (- (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))) x.im))> |
#<alt (* -1 (/ (- (/ (pow x.re 6) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 4) (pow x.im 4))))) x.im))> |
#<alt (/ 1 x.im)> |
#<alt (+ (* -1 (/ (pow x.re 2) (pow x.im 3))) (/ 1 x.im))> |
#<alt (+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 5)) (/ 1 (pow x.im 3)))) (/ 1 x.im))> |
#<alt (+ (* (pow x.re 2) (- (* (pow x.re 2) (+ (* -1 (/ (pow x.re 2) (pow x.im 7))) (/ 1 (pow x.im 5)))) (/ 1 (pow x.im 3)))) (/ 1 x.im))> |
#<alt (/ x.im (pow x.re 2))> |
#<alt (/ (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))> |
#<alt (/ (- (+ x.im (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2))) (pow x.re 2))> |
#<alt (/ (- (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))> |
#<alt (/ x.im (pow x.re 2))> |
#<alt (/ (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))> |
#<alt (/ (- (+ x.im (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2))) (pow x.re 2))> |
#<alt (/ (- (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))> |
#<alt (* x.im (+ 2 (pow x.re 2)))> |
#<alt (* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))> |
#<alt (* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))> |
#<alt (* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))> |
#<alt (+ (* -1 (pow x.im 3)) (* 2 x.im))> |
#<alt (+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))> |
#<alt (+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))> |
#<alt (+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))> |
#<alt (pow x.im 3)> |
#<alt (+ (* (pow x.im 2) x.re) (pow x.im 3))> |
#<alt (+ (* x.re (+ (* x.im x.re) (pow x.im 2))) (pow x.im 3))> |
#<alt (+ (* x.re (+ (* x.re (+ x.im x.re)) (pow x.im 2))) (pow x.im 3))> |
#<alt (pow x.re 3)> |
#<alt (* (pow x.re 3) (+ 1 (/ x.im x.re)))> |
#<alt (* (pow x.re 3) (+ 1 (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (+ 1 (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3))))))> |
#<alt (pow x.re 3)> |
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ x.im x.re)) 1)))> |
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (/ (pow x.im 2) x.re)) x.re)) 1)))> |
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 (/ (+ (* -1 (/ (pow x.im 3) x.re)) (* -1 (pow x.im 2))) x.re))) x.re)) 1)))> |
#<alt (pow x.re 3)> |
#<alt (+ (* x.im (pow x.re 2)) (pow x.re 3))> |
#<alt (+ (* x.im (+ (* x.im x.re) (pow x.re 2))) (pow x.re 3))> |
#<alt (+ (* x.im (+ (* x.im (+ x.im x.re)) (pow x.re 2))) (pow x.re 3))> |
#<alt (pow x.im 3)> |
#<alt (* (pow x.im 3) (+ 1 (/ x.re x.im)))> |
#<alt (* (pow x.im 3) (+ 1 (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))))> |
#<alt (* (pow x.im 3) (+ 1 (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3))))))> |
#<alt (pow x.im 3)> |
#<alt (* -1 (* (pow x.im 3) (- (* -1 (/ x.re x.im)) 1)))> |
#<alt (* -1 (* (pow x.im 3) (- (* -1 (/ (+ x.re (/ (pow x.re 2) x.im)) x.im)) 1)))> |
#<alt (* -1 (* (pow x.im 3) (- (* -1 (/ (+ x.re (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* -1 (pow x.re 2))) x.im))) x.im)) 1)))> |
#<alt (* -1 (pow x.im 4))> |
#<alt (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3))))> |
#<alt (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3)))))> |
#<alt (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3)))))> |
#<alt (pow x.re 4)> |
#<alt (* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))> |
#<alt (* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))))> |
#<alt (* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3)))))))))> |
#<alt (pow x.re 4)> |
#<alt (* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))> |
#<alt (* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (+ (* -1 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re))) x.re))))> |
#<alt (* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.im 2)) (pow x.im 2))) (+ (* -1 (/ (pow x.im 3) x.re)) (/ (pow x.im 3) x.re))) x.re))) x.re))))> |
#<alt (pow x.re 4)> |
#<alt (+ (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 4))> |
#<alt (+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3)))) (pow x.re 4))> |
#<alt (+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) (pow x.re 3)))) (pow x.re 4))> |
#<alt (* -1 (pow x.im 4))> |
#<alt (* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))> |
#<alt (* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))> |
#<alt (* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3))))))) 1))> |
#<alt (* -1 (pow x.im 4))> |
#<alt (* (pow x.im 4) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))> |
#<alt (* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))) x.im)) 1))> |
#<alt (* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)))) x.im)) 1))> |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x.re | @ | -inf | (* (- x.re x.im) (* (+ x.re x.im) (+ (* x.re x.re) (* x.im x.im)))) |
| 3.0ms | x.im | @ | 0 | (/ 1 (+ (* (+ x.re x.im) (* x.im (- x.re x.im))) (+ x.im x.im))) |
| 1.0ms | x.re | @ | -inf | (/ 1 (+ (* (+ x.re x.im) (* x.im (- x.re x.im))) (+ x.im x.im))) |
| 1.0ms | x.re | @ | 0 | (/ 1 (+ (* (+ x.re x.im) (* x.im (- x.re x.im))) (+ x.im x.im))) |
| 1.0ms | x.re | @ | inf | (/ 1 (+ (* (+ x.re x.im) (* x.im (- x.re x.im))) (+ x.im x.im))) |
| 1× | batch-egg-rewrite |
| 4 802× | lower-*.f32 |
| 4 780× | lower-*.f64 |
| 4 328× | lower-/.f32 |
| 4 320× | lower-/.f64 |
| 4 286× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 185 |
| 0 | 59 | 167 |
| 1 | 239 | 159 |
| 2 | 2253 | 159 |
| 0 | 8671 | 158 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)) |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) |
(fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(*.f64 x.re x.re) |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(*.f64 x.im x.re) |
(*.f64 x.re (+.f64 x.im x.im)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) |
(*.f64 x.im (-.f64 x.re x.im)) |
(/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) |
(fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 x.im x.im)) |
(*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) |
(*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) |
| Outputs |
|---|
(+.f64 (*.f64 x.re x.im) (neg.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(+.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) (*.f64 x.re x.im)) |
(fma.f64 x.re x.im (neg.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(fma.f64 x.re (/.f64 (*.f64 x.im (neg.f64 x.im)) x.re) (*.f64 x.re x.im)) |
(fma.f64 x.im x.re (neg.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(fma.f64 (neg.f64 x.im) (*.f64 (/.f64 x.im x.re) x.re) (*.f64 x.re x.im)) |
(fma.f64 (/.f64 x.im x.re) (*.f64 (neg.f64 x.im) x.re) (*.f64 x.re x.im)) |
(fma.f64 (/.f64 (*.f64 x.im (neg.f64 x.im)) x.re) x.re (*.f64 x.re x.im)) |
(fma.f64 (*.f64 x.re (neg.f64 x.im)) (/.f64 x.im x.re) (*.f64 x.re x.im)) |
(fma.f64 (*.f64 x.re (/.f64 x.im x.re)) (neg.f64 x.im) (*.f64 x.re x.im)) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re)))) (fma.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im x.im))) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) (*.f64 x.re x.im))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 x.im x.im)))) (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) (*.f64 x.re x.im))) |
(/.f64 (*.f64 x.re (fma.f64 (neg.f64 (*.f64 x.im (*.f64 x.im x.im))) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im x.im)))) (fma.f64 x.im (-.f64 x.im (/.f64 (*.f64 x.im (neg.f64 x.im)) x.re)) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re x.re)))) |
(/.f64 (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re x.re)) (*.f64 x.im x.im))) (-.f64 (/.f64 (*.f64 x.im (neg.f64 x.im)) x.re) x.im)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x.im (*.f64 x.im x.im))) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im x.im))) x.re) (fma.f64 x.im (-.f64 x.im (/.f64 (*.f64 x.im (neg.f64 x.im)) x.re)) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re x.re)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re x.re)) (*.f64 x.im x.im)) x.re) (-.f64 (/.f64 (*.f64 x.im (neg.f64 x.im)) x.re) x.im)) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re))))) (neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im x.im))) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) (*.f64 x.re x.im)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 x.im x.im))))) (neg.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) (*.f64 x.re x.im)))) |
(/.f64 (neg.f64 (*.f64 x.re (fma.f64 (neg.f64 (*.f64 x.im (*.f64 x.im x.im))) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (fma.f64 x.im (-.f64 x.im (/.f64 (*.f64 x.im (neg.f64 x.im)) x.re)) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re x.re))))) |
(/.f64 (neg.f64 (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re x.re)) (*.f64 x.im x.im)))) (neg.f64 (-.f64 (/.f64 (*.f64 x.im (neg.f64 x.im)) x.re) x.im))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x.im (*.f64 x.im x.im))) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im x.im))) x.re)) (neg.f64 (fma.f64 x.im (-.f64 x.im (/.f64 (*.f64 x.im (neg.f64 x.im)) x.re)) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re x.re))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re x.re)) (*.f64 x.im x.im)) x.re)) (neg.f64 (-.f64 (/.f64 (*.f64 x.im (neg.f64 x.im)) x.re) x.im))) |
(*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re))) |
(*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) x.re) |
(+.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))) |
(+.f64 (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im))) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))) (-.f64 (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (/.f64 (*.f64 (+.f64 x.im x.im) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (-.f64 (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))))) |
(fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))) |
(fma.f64 x.re (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (+.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(fma.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(fma.f64 (*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re))) (+.f64 x.re x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(fma.f64 (+.f64 x.im x.im) (*.f64 x.re x.re) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))) |
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))) |
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))) |
(fma.f64 (*.f64 x.re x.re) (+.f64 x.im x.im) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))) |
(fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(fma.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re))) x.re (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(fma.f64 (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) x.im (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re))) (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))))) (fma.f64 (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im))) (*.f64 (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im))) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))) (*.f64 (+.f64 x.im x.im) (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (-.f64 (*.f64 (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im))) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))) (*.f64 (+.f64 x.im x.im) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re))) (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))))) (fma.f64 (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im))) (*.f64 (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im))) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))) (*.f64 (+.f64 x.im x.im) (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (-.f64 (*.f64 (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im))) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))) (*.f64 (+.f64 x.im x.im) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im))) (*.f64 (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im))) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))) (*.f64 (+.f64 x.im x.im) (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))))) (fma.f64 (*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re))) (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im))))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im))) (*.f64 (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im))) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))) (*.f64 (+.f64 x.im x.im) (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))))) (fma.f64 x.re (*.f64 (+.f64 x.im x.im) (*.f64 x.re (*.f64 x.re x.re))) (-.f64 (*.f64 (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im))) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im))))))) |
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(pow.f64 (pow.f64 (+.f64 x.im (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) x.im)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x.im (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) x.im))) (/.f64 #s(literal 1 binary64) (+.f64 x.im (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) x.im)))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x.im (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) x.im))) |
(*.f64 (+.f64 x.im (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) x.im)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 x.im (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) x.im)))) |
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(*.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) (+.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) (+.f64 x.im x.im)) (*.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (*.f64 x.im (+.f64 x.re x.im))) (*.f64 (-.f64 x.re x.im) (-.f64 x.re x.im)) (neg.f64 (+.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)))) |
(*.f64 (pow.f64 (+.f64 x.im (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) x.im)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x.im (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) x.im)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) (+.f64 x.im x.im)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) (+.f64 x.im x.im)) (*.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (*.f64 x.im (+.f64 x.re x.im))) (*.f64 (-.f64 x.re x.im) (-.f64 x.re x.im)) (neg.f64 (+.f64 x.im x.im))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x.im (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) x.im)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 x.im (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) x.im)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x.im (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) x.im)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x.im (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) x.im)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) (+.f64 x.im x.im))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) (+.f64 x.im x.im)) (*.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (*.f64 x.im (+.f64 x.re x.im))) (*.f64 (-.f64 x.re x.im) (-.f64 x.re x.im)) (neg.f64 (+.f64 x.im x.im)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)))) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im (neg.f64 x.im))) |
(fma.f64 x.re x.im (*.f64 x.im (neg.f64 x.im))) |
(fma.f64 x.im x.re (*.f64 x.im (neg.f64 x.im))) |
(/.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.re x.im)) |
(/.f64 (*.f64 x.im (*.f64 (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))) (-.f64 x.re x.im))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) (neg.f64 (+.f64 x.re x.im))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))) (-.f64 x.re x.im)) x.im) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im)))) |
(/.f64 (neg.f64 (*.f64 x.im (*.f64 (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))) (-.f64 x.re x.im)))) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))) (-.f64 x.re x.im)) x.im)) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))))) |
(*.f64 x.im (-.f64 x.re x.im)) |
(*.f64 (-.f64 x.re x.im) x.im) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)))) (/.f64 x.im (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))))) |
(neg.f64 (/.f64 x.im (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))))) |
(neg.f64 (/.f64 (neg.f64 x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) |
(/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) |
(/.f64 (neg.f64 x.im) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))))) |
(/.f64 (*.f64 x.im #s(literal 1 binary64)) (fma.f64 x.re x.re (*.f64 x.im x.im))) |
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(/.f64 (neg.f64 (neg.f64 (neg.f64 x.im))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)))))) |
(/.f64 (neg.f64 (*.f64 x.im #s(literal 1 binary64))) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)))) |
(pow.f64 (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x.im (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) |
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))))) |
(*.f64 #s(literal 1 binary64) (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im)))) |
(*.f64 #s(literal -1 binary64) (/.f64 x.im (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) x.im) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (pow.f64 (/.f64 #s(literal 1 binary64) x.im) #s(literal -1 binary64))) |
(*.f64 (/.f64 x.im (fma.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (fma.f64 (*.f64 x.im x.im) (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))) |
(*.f64 (/.f64 x.im (*.f64 (+.f64 x.re x.im) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (-.f64 x.re x.im)))) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) |
(+.f64 x.im (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) x.im)) |
(+.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)) |
(+.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) x.im) x.im) |
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 x.im x.im)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) (*.f64 #s(literal 1 binary64) (+.f64 x.im x.im))) |
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) x.im)) (*.f64 #s(literal 1 binary64) x.im)) |
(+.f64 (*.f64 (+.f64 x.im x.im) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) #s(literal 1 binary64)) (*.f64 (+.f64 x.im x.im) #s(literal 1 binary64))) |
(+.f64 (*.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) x.im) #s(literal 1 binary64)) (*.f64 x.im #s(literal 1 binary64))) |
(exp.f64 (log.f64 (+.f64 x.im (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) x.im)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x.im (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) x.im))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im))) (/.f64 (+.f64 x.im x.im) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 x.im x.im)))) |
(fma.f64 x.im #s(literal 2 binary64) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
(fma.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (+.f64 x.im x.im)) |
(fma.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (-.f64 x.re x.im)))) (+.f64 x.im x.im)) |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)) |
(fma.f64 (+.f64 x.im x.im) (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
(fma.f64 (+.f64 x.im x.im) #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (+.f64 x.im x.im) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 #s(literal 1 binary64) (+.f64 x.im x.im))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) x.im) (*.f64 #s(literal 1 binary64) x.im)) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im)) |
(fma.f64 (-.f64 x.re x.im) (*.f64 (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 x.im x.im)) |
(fma.f64 (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.re x.im) (+.f64 x.im x.im)) |
(fma.f64 (*.f64 x.im x.im) #s(literal 4 binary64) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
(fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (-.f64 x.re x.im))) (+.f64 x.im x.im)) |
(fma.f64 (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (/.f64 (*.f64 x.im (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im))) (+.f64 x.im x.im)) |
(fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (-.f64 x.re x.im))) (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (+.f64 x.im x.im)) |
(fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) #s(literal 1 binary64) (*.f64 (+.f64 x.im x.im) #s(literal 1 binary64))) |
(fma.f64 #s(literal 2 binary64) x.im (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x.im (+.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
(fma.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
(fma.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
(fma.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
(fma.f64 (*.f64 x.im (*.f64 x.im x.im)) #s(literal 8 binary64) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
(fma.f64 (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (+.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) |
(fma.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im (+.f64 x.im x.im)) |
(fma.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 x.im x.im)) |
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(/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))) (-.f64 x.re x.im))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (+.f64 x.re x.im)) |
(/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (-.f64 x.re x.im)))) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 x.re x.im)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) (neg.f64 (fma.f64 (*.f64 x.im x.im) (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (-.f64 x.re x.im))))) (neg.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))))) (neg.f64 (fma.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (fma.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (neg.f64 (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))) (-.f64 x.re x.im)))) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (neg.f64 (+.f64 x.re x.im))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))) (neg.f64 (+.f64 x.re x.im))) |
(*.f64 (+.f64 x.re x.im) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (-.f64 x.re x.im))) |
(*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) |
(*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) |
(*.f64 (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (-.f64 x.re x.im)) |
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im))) |
(*.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (+.f64 x.re x.im)) |
| 1× | egg-herbie |
| 7 256× | lower-fma.f64 |
| 7 256× | lower-fma.f32 |
| 3 550× | lower-*.f64 |
| 3 550× | lower-*.f32 |
| 3 290× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 607 | 4888 |
| 1 | 2033 | 4057 |
| 2 | 7806 | 4023 |
| 0 | 8273 | 3901 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (pow x.im 2)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(* x.im x.re) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(* x.im x.re) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(* x.im x.re) |
(* x.im (+ x.re (* -1 x.im))) |
(* x.im (+ x.re (* -1 x.im))) |
(* x.im (+ x.re (* -1 x.im))) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2)))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* 2 x.im))) (pow x.im 2))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* 2 x.im))) (pow x.im 2))))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* 2 x.im) (/ (pow x.im 2) x.re))))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (pow x.im 2) x.re)))))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (pow x.im 2) x.re)))))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* 2 x.im) (/ (pow x.im 2) x.re))))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (+ (* -1 (pow x.im 2)) (pow x.im 2))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (+ (* -1 (pow x.im 2)) (pow x.im 2))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
x.im |
(* x.im (+ 1 (* -1 (/ x.im x.re)))) |
(* x.im (+ 1 (* -1 (/ x.im x.re)))) |
(* x.im (+ 1 (* -1 (/ x.im x.re)))) |
(* -1 (/ (pow x.im 2) x.re)) |
(* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re))) |
(* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re))) |
(* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re))) |
(* -1 (/ (pow x.im 2) x.re)) |
(* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re))) |
(* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re))) |
(* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re))) |
(* -1 (/ (pow x.im 2) x.re)) |
(/ (+ (* -1 (pow x.im 2)) (* x.im x.re)) x.re) |
(/ (+ (* -1 (pow x.im 2)) (* x.im x.re)) x.re) |
(/ (+ (* -1 (pow x.im 2)) (* x.im x.re)) x.re) |
x.im |
(+ x.im (* -1 (/ (pow x.im 2) x.re))) |
(+ x.im (* -1 (/ (pow x.im 2) x.re))) |
(+ x.im (* -1 (/ (pow x.im 2) x.re))) |
x.im |
(+ x.im (* -1 (/ (pow x.im 2) x.re))) |
(+ x.im (* -1 (/ (pow x.im 2) x.re))) |
(+ x.im (* -1 (/ (pow x.im 2) x.re))) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(* (pow x.im 2) x.re) |
(* x.re (+ (* x.re (+ x.im (* 2 x.im))) (pow x.im 2))) |
(* x.re (+ (* x.re (+ x.im (* 2 x.im))) (pow x.im 2))) |
(* x.re (+ (* x.re (+ x.im (* 2 x.im))) (pow x.im 2))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (pow x.im 2) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (pow x.im 2) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (pow x.im 2) x.re)))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (pow x.im 2) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (pow x.im 2) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (pow x.im 2) x.re)))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im x.re) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im x.re) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im x.re) (pow x.re 2)))) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) (+ x.re (+ (* 2 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im)))) |
(* (pow x.im 2) (+ x.re (+ (* 2 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im)))) |
(* (pow x.im 2) (+ x.re (+ (* 2 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im)))) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) (+ x.re (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im)))) |
(* (pow x.im 2) (+ x.re (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im)))) |
(* (pow x.im 2) (+ x.re (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im)))) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(/ 1 (+ (* -1 (pow x.im 3)) (* 2 x.im))) |
(+ (* -1 (/ (* x.im (* x.re (+ x.im (* -1 x.im)))) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2))) (/ 1 (+ (* -1 (pow x.im 3)) (* 2 x.im)))) |
(+ (* x.re (- (* -1 (* x.re (+ (* -1 (/ (* (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 3))) (/ x.im (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2))))) (/ (* x.im (+ x.im (* -1 x.im))) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2)))) (/ 1 (+ (* -1 (pow x.im 3)) (* 2 x.im)))) |
(+ (* x.re (- (* x.re (- (* -1 (* x.re (+ (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (+ (* -1 (/ (* (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 3))) (/ x.im (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2))))) (+ (* -1 (pow x.im 3)) (* 2 x.im)))) (* -1 (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 3)))))) (+ (* -1 (/ (* (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 3))) (/ x.im (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2))))) (/ (* x.im (+ x.im (* -1 x.im))) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2)))) (/ 1 (+ (* -1 (pow x.im 3)) (* 2 x.im)))) |
(/ 1 (* x.im (pow x.re 2))) |
(/ (+ (* -1 (/ (+ (* -1 x.im) (* 2 (/ 1 x.im))) (pow x.re 2))) (/ 1 x.im)) (pow x.re 2)) |
(/ (- (+ (/ 1 x.im) (/ (* (+ x.im (* -1 x.im)) (+ (* -1 x.im) (* 2 (/ 1 x.im)))) (pow x.re 3))) (+ (* -1 (/ x.im (pow x.re 2))) (/ 2 (* x.im (pow x.re 2))))) (pow x.re 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 x.im) (* 2 (/ 1 x.im))) (+ (* -1 (pow x.im 3)) (* 2 x.im))) x.im)) (* (pow (+ x.im (* -1 x.im)) 2) (+ (* -1 x.im) (* 2 (/ 1 x.im))))) (pow x.re 4))) (/ 1 x.im)) (+ (* -1 (/ x.im (pow x.re 2))) (+ (* -1 (/ (* (+ x.im (* -1 x.im)) (+ (* -1 x.im) (* 2 (/ 1 x.im)))) (pow x.re 3))) (/ 2 (* x.im (pow x.re 2)))))) (pow x.re 2)) |
(/ 1 (* x.im (pow x.re 2))) |
(/ (+ (* -1 (/ (+ x.im (* -1 x.im)) (* x.im x.re))) (/ 1 x.im)) (pow x.re 2)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (* x.im x.re))) (/ 2 (* x.im x.re)))) (* -1 (/ (+ x.im (* -1 x.im)) x.im))) x.re)) (/ 1 x.im)) (pow x.re 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.im (* -1 x.im)) (+ (* -1 x.im) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) x.im)) (* 2 (/ 1 x.im))))) x.re) (/ (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 3)) (* 2 x.im))) (* (pow x.im 2) x.re))) (+ (* -1 x.im) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) x.im)) (* 2 (/ 1 x.im))))) x.re)) (* -1 (/ (+ x.im (* -1 x.im)) x.im))) x.re)) (/ 1 x.im)) (pow x.re 2)) |
(/ 1 (* x.im (+ 2 (pow x.re 2)))) |
(/ (+ (* -1 (* x.im (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 2))) (/ x.re (pow (+ 2 (pow x.re 2)) 2))))) (/ 1 (+ 2 (pow x.re 2)))) x.im) |
(/ (+ (* x.im (- (* x.im (- (/ 1 (pow (+ 2 (pow x.re 2)) 2)) (* -1 (/ (* (+ x.re (* -1 x.re)) (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 2))) (/ x.re (pow (+ 2 (pow x.re 2)) 2)))) (+ 2 (pow x.re 2)))))) (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 2))) (/ x.re (pow (+ 2 (pow x.re 2)) 2))))) (/ 1 (+ 2 (pow x.re 2)))) x.im) |
(/ (+ (* x.im (- (* x.im (- (+ (* -1 (* x.im (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 3))) (+ (/ x.re (pow (+ 2 (pow x.re 2)) 3)) (/ (* (+ x.re (* -1 x.re)) (- (/ 1 (pow (+ 2 (pow x.re 2)) 2)) (* -1 (/ (* (+ x.re (* -1 x.re)) (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 2))) (/ x.re (pow (+ 2 (pow x.re 2)) 2)))) (+ 2 (pow x.re 2)))))) (+ 2 (pow x.re 2))))))) (/ 1 (pow (+ 2 (pow x.re 2)) 2))) (* -1 (/ (* (+ x.re (* -1 x.re)) (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 2))) (/ x.re (pow (+ 2 (pow x.re 2)) 2)))) (+ 2 (pow x.re 2)))))) (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 2))) (/ x.re (pow (+ 2 (pow x.re 2)) 2))))) (/ 1 (+ 2 (pow x.re 2)))) x.im) |
(/ -1 (pow x.im 3)) |
(/ (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1) (pow x.im 3)) |
(/ (- (* -1 (/ (+ 2 (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) (pow x.im 2))) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))) (pow x.im 3)) |
(/ (- (* -1 (/ (+ (* (+ 2 (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) (+ x.re (* -1 x.re))) (* (+ 2 (pow x.re 2)) (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 2)))))))) (pow x.im 3)) |
(/ -1 (pow x.im 3)) |
(* -1 (/ (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im))) (pow x.im 3))) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- 2 (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (* -1 (+ x.re (* -1 x.re)))) x.im))) (pow x.im 3))) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 2 (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- 2 (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2))))) x.im)) (/ (* (+ x.re (* -1 x.re)) (- (* -1 (pow x.re 2)) 2)) x.im))) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (* -1 (+ x.re (* -1 x.re)))) x.im))) (pow x.im 3))) |
(+ (* -1 (pow x.im 3)) (* 2 x.im)) |
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im)))))) |
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))) |
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re)))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re)))) |
(* x.im (+ 2 (pow x.re 2))) |
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) |
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im))))) |
(+ (* -1 (pow x.im 3)) (* 2 x.im)) |
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im)))))) |
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))) |
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re)))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re)))) |
(* x.im (+ 2 (pow x.re 2))) |
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) |
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im))))) |
(* x.im x.re) |
(* x.im (+ x.re (* -1 x.im))) |
(* x.im (+ x.re (* -1 x.im))) |
(* x.im (+ x.re (* -1 x.im))) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* -1 (pow x.im 2)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(* x.im x.re) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(* x.im x.re) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(/ x.im (pow x.re 2)) |
(* x.im (+ (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2)))) |
(* x.im (+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 6)) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))) |
(* x.im (+ (* (pow x.im 2) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 8))) (/ 1 (pow x.re 6)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))) |
(/ 1 x.im) |
(/ (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))) x.im) |
(/ (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2))) x.im) |
(/ (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2)))) x.im) |
(/ 1 x.im) |
(* -1 (/ (- (/ (pow x.re 2) (pow x.im 2)) 1) x.im)) |
(* -1 (/ (- (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))) x.im)) |
(* -1 (/ (- (/ (pow x.re 6) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 4) (pow x.im 4))))) x.im)) |
(/ 1 x.im) |
(+ (* -1 (/ (pow x.re 2) (pow x.im 3))) (/ 1 x.im)) |
(+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 5)) (/ 1 (pow x.im 3)))) (/ 1 x.im)) |
(+ (* (pow x.re 2) (- (* (pow x.re 2) (+ (* -1 (/ (pow x.re 2) (pow x.im 7))) (/ 1 (pow x.im 5)))) (/ 1 (pow x.im 3)))) (/ 1 x.im)) |
(/ x.im (pow x.re 2)) |
(/ (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2)) |
(/ (- (+ x.im (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2))) (pow x.re 2)) |
(/ (- (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2)) |
(/ x.im (pow x.re 2)) |
(/ (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2)) |
(/ (- (+ x.im (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2))) (pow x.re 2)) |
(/ (- (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2)) |
(* x.im (+ 2 (pow x.re 2))) |
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) |
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im))))) |
(+ (* -1 (pow x.im 3)) (* 2 x.im)) |
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im)))))) |
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))) |
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re)))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re)))) |
(pow x.im 3) |
(+ (* (pow x.im 2) x.re) (pow x.im 3)) |
(+ (* x.re (+ (* x.im x.re) (pow x.im 2))) (pow x.im 3)) |
(+ (* x.re (+ (* x.re (+ x.im x.re)) (pow x.im 2))) (pow x.im 3)) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (/ x.im x.re))) |
(* (pow x.re 3) (+ 1 (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3)))))) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (* -1 (/ x.im x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (/ (pow x.im 2) x.re)) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 (/ (+ (* -1 (/ (pow x.im 3) x.re)) (* -1 (pow x.im 2))) x.re))) x.re)) 1))) |
(pow x.re 3) |
(+ (* x.im (pow x.re 2)) (pow x.re 3)) |
(+ (* x.im (+ (* x.im x.re) (pow x.re 2))) (pow x.re 3)) |
(+ (* x.im (+ (* x.im (+ x.im x.re)) (pow x.re 2))) (pow x.re 3)) |
(pow x.im 3) |
(* (pow x.im 3) (+ 1 (/ x.re x.im))) |
(* (pow x.im 3) (+ 1 (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) |
(* (pow x.im 3) (+ 1 (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3)))))) |
(pow x.im 3) |
(* -1 (* (pow x.im 3) (- (* -1 (/ x.re x.im)) 1))) |
(* -1 (* (pow x.im 3) (- (* -1 (/ (+ x.re (/ (pow x.re 2) x.im)) x.im)) 1))) |
(* -1 (* (pow x.im 3) (- (* -1 (/ (+ x.re (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* -1 (pow x.re 2))) x.im))) x.im)) 1))) |
(* -1 (pow x.im 4)) |
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3)))) |
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3))))) |
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3))))) |
(pow x.re 4) |
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2))))))) |
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3))))))))) |
(pow x.re 4) |
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (+ (* -1 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re))) x.re)))) |
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.im 2)) (pow x.im 2))) (+ (* -1 (/ (pow x.im 3) x.re)) (/ (pow x.im 3) x.re))) x.re))) x.re)))) |
(pow x.re 4) |
(+ (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 4)) |
(+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3)))) (pow x.re 4)) |
(+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) (pow x.re 3)))) (pow x.re 4)) |
(* -1 (pow x.im 4)) |
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3))))))) 1)) |
(* -1 (pow x.im 4)) |
(* (pow x.im 4) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1)) |
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))) x.im)) 1)) |
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)))) x.im)) 1)) |
| Outputs |
|---|
(* -1 (pow x.im 2)) |
(*.f64 x.im (neg.f64 x.im)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(*.f64 x.im (-.f64 x.re x.im)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(*.f64 x.im (-.f64 x.re x.im)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(*.f64 x.im (-.f64 x.re x.im)) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re))) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re))) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re))) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(neg.f64 (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im x.im) x.re) x.im))) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(neg.f64 (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im x.im) x.re) x.im))) |
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(/ x.im (pow x.re 2)) |
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(/.f64 (+.f64 x.im (-.f64 (/.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re x.re)))) (*.f64 x.re x.re)) |
(/ (- (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2)) |
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(/ x.im (pow x.re 2)) |
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(* -1 (pow x.im 4)) |
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(* (pow x.im 4) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1)) |
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(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))) x.im)) 1)) |
(neg.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im)) |
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)))) x.im)) 1)) |
(neg.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im)) |
Compiled 94 069 to 4 073 computations (95.7% saved)
20 alts after pruning (17 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 286 | 12 | 2 298 |
| Fresh | 3 | 5 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 293 | 20 | 2 313 |
| Status | Accuracy | Program |
|---|---|---|
| 17.5% | (fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (+.f64 x.im x.im)) | |
| ▶ | 17.3% | (fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (neg.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im)) (+.f64 x.im x.im)) |
| 82.8% | (fma.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) | |
| 86.4% | (fma.f64 (+.f64 x.re x.im) (fma.f64 (/.f64 x.im x.re) (*.f64 (neg.f64 x.im) x.re) (*.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) | |
| 55.8% | (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im)) | |
| 70.8% | (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (neg.f64 (/.f64 (*.f64 x.im x.im) x.re))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) | |
| ▶ | 62.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im x.im)))) |
| ▶ | 87.4% | (+.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 69.2% | (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 57.6% | (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) | |
| 62.3% | (*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))) | |
| 57.6% | (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) | |
| ▶ | 57.7% | (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re) |
| 57.6% | (*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) | |
| 18.0% | (*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64))) | |
| ✓ | 88.6% | (*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
| ▶ | 36.4% | (*.f64 x.im (*.f64 x.re x.re)) |
| ✓ | 62.2% | (*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
| 57.6% | (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.im) x.re)) | |
| ✓ | 50.7% | (*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
Compiled 556 to 307 computations (44.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x.im x.im) |
| ✓ | cost-diff | 0 | (fma.f64 x.re x.re (*.f64 x.im x.im)) |
| ✓ | cost-diff | 0 | (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) |
| ✓ | cost-diff | 192 | (fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (neg.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im)) (+.f64 x.im x.im)) |
| ✓ | cost-diff | 0 | (*.f64 x.im x.im) |
| ✓ | cost-diff | 0 | (*.f64 x.im (*.f64 x.im x.im)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
| ✓ | cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im x.im)))) |
| ✓ | cost-diff | 0 | (*.f64 x.re x.im) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re) |
| ✓ | cost-diff | 0 | (*.f64 x.re x.re) |
| ✓ | cost-diff | 0 | (*.f64 x.im (*.f64 x.re x.re)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) |
| ✓ | cost-diff | 320 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
| ✓ | cost-diff | 576 | (+.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| ✓ | cost-diff | 1088 | (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) |
| 9 630× | lower-fma.f32 |
| 9 626× | lower-fma.f64 |
| 2 264× | lower-*.f32 |
| 2 242× | lower-*.f64 |
| 2 136× | lower--.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 196 |
| 0 | 54 | 180 |
| 1 | 100 | 163 |
| 2 | 212 | 161 |
| 3 | 564 | 159 |
| 4 | 1253 | 159 |
| 5 | 3026 | 155 |
| 6 | 5479 | 155 |
| 0 | 8209 | 155 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) |
x.im |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) |
#s(literal 1 binary64) |
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) |
(+.f64 x.re x.im) |
x.re |
(-.f64 x.re x.im) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(*.f64 x.im (*.f64 x.re x.re)) |
x.im |
(*.f64 x.re x.re) |
x.re |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) |
#s(literal 3 binary64) |
(*.f64 x.re x.im) |
x.re |
x.im |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im x.im)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
#s(literal -1 binary64) |
(*.f64 x.im (*.f64 x.im x.im)) |
x.im |
(*.f64 x.im x.im) |
(fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (neg.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im)) (+.f64 x.im x.im)) |
(/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) |
x.im |
(fma.f64 x.re x.re (*.f64 x.im x.im)) |
x.re |
(*.f64 x.im x.im) |
(neg.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im)) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im) |
(*.f64 x.im (*.f64 x.im x.im)) |
(+.f64 x.im x.im) |
| Outputs |
|---|
(+.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))))) |
(/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
x.im |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
#s(literal 1 binary64) |
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(+.f64 x.re x.im) |
(+.f64 x.im x.re) |
x.re |
(-.f64 x.re x.im) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re))) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.im (+.f64 x.re x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(*.f64 x.im x.re) |
(*.f64 x.im (*.f64 x.re x.re)) |
x.im |
(*.f64 x.re x.re) |
x.re |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re) |
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) |
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) |
#s(literal 3 binary64) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
x.re |
x.im |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im x.im)))) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
#s(literal -1 binary64) |
(*.f64 x.im (*.f64 x.im x.im)) |
x.im |
(*.f64 x.im x.im) |
(fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (neg.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im)) (+.f64 x.im x.im)) |
(neg.f64 (*.f64 x.im (fma.f64 (*.f64 x.im x.im) (/.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) #s(literal -2 binary64)))) |
(/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) |
(/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) |
x.im |
(fma.f64 x.re x.re (*.f64 x.im x.im)) |
(fma.f64 x.im x.im (*.f64 x.re x.re)) |
x.re |
(*.f64 x.im x.im) |
(neg.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im)) |
(neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im) |
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) |
(*.f64 x.im (*.f64 x.im x.im)) |
(+.f64 x.im x.im) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im) |
| ✓ | accuracy | 99.9% | (*.f64 x.im (*.f64 x.im x.im)) |
| ✓ | accuracy | 93.3% | (fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (neg.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im)) (+.f64 x.im x.im)) |
| ✓ | accuracy | 72.9% | (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) |
| ✓ | accuracy | 100.0% | (*.f64 x.im x.im) |
| ✓ | accuracy | 99.9% | (*.f64 x.im (*.f64 x.im x.im)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im x.im)))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
| ✓ | accuracy | 100.0% | (*.f64 x.re x.im) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) |
| ✓ | accuracy | 100.0% | (*.f64 x.re x.re) |
| ✓ | accuracy | 87.3% | (*.f64 x.im (*.f64 x.re x.re)) |
| ✓ | accuracy | 99.8% | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) |
| ✓ | accuracy | 94.4% | (+.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| ✓ | accuracy | 93.2% | (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) |
| 65.0ms | 256× | 0 | valid |
Compiled 202 to 32 computations (84.2% saved)
ival-add: 22.0ms (45.2% of total)ival-mult: 16.0ms (32.9% of total)ival-div: 8.0ms (16.5% of total)ival-sub: 1.0ms (2.1% of total)ival-neg: 1.0ms (2.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))> |
#<alt (+.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))> |
#<alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)> |
#<alt (*.f64 x.im (*.f64 x.re x.re))> |
#<alt (*.f64 x.re x.re)> |
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))> |
#<alt (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re)> |
#<alt (*.f64 x.re x.im)> |
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im x.im)))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im x.im))))> |
#<alt (*.f64 x.im (*.f64 x.im x.im))> |
#<alt (*.f64 x.im x.im)> |
#<alt (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im)))> |
#<alt (fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (neg.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im)) (+.f64 x.im x.im))> |
#<alt (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im)> |
| Outputs |
|---|
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))> |
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))> |
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))> |
#<alt (/ -1 (pow x.im 2))> |
#<alt (- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))> |
#<alt (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))> |
#<alt (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))> |
#<alt (/ 1 (pow x.re 2))> |
#<alt (/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))) (pow x.re 2)))) (+ (* -1 (/ x.im x.re)) (/ x.im x.re))) (pow x.re 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))))) (* (pow x.im 2) (+ x.im (* -1 x.im)))) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2))) (/ x.im x.re))))) (pow x.re 2))> |
#<alt (/ 1 (pow x.re 2))> |
#<alt (/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x.im 2) x.re)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) x.re))) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (/ (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2))> |
#<alt (/ 1 (pow x.re 2))> |
#<alt (+ (/ 1 (pow x.re 2)) (/ (pow x.im 2) (pow x.re 4)))> |
#<alt (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 4)) (/ (pow x.im 2) (pow x.re 6)))) (/ 1 (pow x.re 2)))> |
#<alt (+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 6)) (/ (pow x.im 2) (pow x.re 8)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))> |
#<alt (/ -1 (pow x.im 2))> |
#<alt (/ (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1) (pow x.im 2))> |
#<alt (/ (- (* -1 (/ (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2)) (pow x.im 2))) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))) (pow x.im 2))> |
#<alt (/ (- (* -1 (/ (+ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) (* (pow x.re 2) (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 2))))))) (pow x.im 2))> |
#<alt (/ -1 (pow x.im 2))> |
#<alt (/ (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1) (pow x.im 2))> |
#<alt (/ (- (* -1 (/ (- (+ (/ (pow x.re 2) x.im) (/ (pow (+ x.re (* -1 x.re)) 2) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2))> |
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im) (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) x.im)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (/ -1 (pow x.im 3))> |
#<alt (/ -1 (pow x.im 3))> |
#<alt (/ -1 (pow x.im 3))> |
#<alt (/ -1 (pow x.im 3))> |
#<alt (/ -1 (pow x.im 3))> |
#<alt (/ -1 (pow x.im 3))> |
#<alt (/ -1 (pow x.im 3))> |
#<alt (/ -1 (pow x.im 3))> |
#<alt (/ -1 (pow x.im 3))> |
#<alt (/ -1 (pow x.im 3))> |
#<alt (/ -1 (pow x.im 3))> |
#<alt (/ -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (/ x.im (pow x.re 2))> |
#<alt (* x.im (+ (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2))))> |
#<alt (* x.im (+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 6)) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))))> |
#<alt (* x.im (+ (* (pow x.im 2) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 8))) (/ 1 (pow x.re 6)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))))> |
#<alt (/ 1 x.im)> |
#<alt (/ (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))) x.im)> |
#<alt (/ (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2))) x.im)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2)))) x.im)> |
#<alt (/ 1 x.im)> |
#<alt (* -1 (/ (- (/ (pow x.re 2) (pow x.im 2)) 1) x.im))> |
#<alt (* -1 (/ (- (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))) x.im))> |
#<alt (* -1 (/ (- (/ (pow x.re 6) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 4) (pow x.im 4))))) x.im))> |
#<alt (/ 1 x.im)> |
#<alt (+ (* -1 (/ (pow x.re 2) (pow x.im 3))) (/ 1 x.im))> |
#<alt (+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 5)) (/ 1 (pow x.im 3)))) (/ 1 x.im))> |
#<alt (+ (* (pow x.re 2) (- (* (pow x.re 2) (+ (* -1 (/ (pow x.re 2) (pow x.im 7))) (/ 1 (pow x.im 5)))) (/ 1 (pow x.im 3)))) (/ 1 x.im))> |
#<alt (/ x.im (pow x.re 2))> |
#<alt (/ (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))> |
#<alt (/ (- (+ x.im (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2))) (pow x.re 2))> |
#<alt (/ (- (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))> |
#<alt (/ x.im (pow x.re 2))> |
#<alt (/ (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))> |
#<alt (/ (- (+ x.im (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2))) (pow x.re 2))> |
#<alt (/ (- (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))> |
#<alt (* 2 x.im)> |
#<alt (* x.im (+ 2 (* -1 (/ (pow x.im 4) (pow x.re 2)))))> |
#<alt (* x.im (+ 2 (* (pow x.im 4) (- (/ (pow x.im 2) (pow x.re 4)) (/ 1 (pow x.re 2))))))> |
#<alt (* x.im (+ 2 (* (pow x.im 4) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 6))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (+ (* 2 (/ 1 (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ 1 (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2)))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ 1 (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 6) (pow x.im 6))))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ 2 (pow x.re 2)) (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ 1 (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ 1 (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2)))))))> |
#<alt (+ (* -1 (pow x.im 3)) (* 2 x.im))> |
#<alt (+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (pow x.re 2))))> |
#<alt (+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.re 2) x.im))))))> |
#<alt (+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* (pow x.re 2) (+ x.im (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 3)) (/ 1 x.im)))))))> |
#<alt (* 2 x.im)> |
#<alt (+ (* -1 (/ (pow x.im 5) (pow x.re 2))) (* 2 x.im))> |
#<alt (+ (* -1 (/ (pow x.im 5) (pow x.re 2))) (+ (* 2 x.im) (/ (pow x.im 7) (pow x.re 4))))> |
#<alt (+ (* -1 (/ (pow x.im 5) (pow x.re 2))) (+ (* -1 (/ (pow x.im 9) (pow x.re 6))) (+ (* 2 x.im) (/ (pow x.im 7) (pow x.re 4)))))> |
#<alt (* 2 x.im)> |
#<alt (+ (* -1 (/ (pow x.im 5) (pow x.re 2))) (* 2 x.im))> |
#<alt (+ (* -1 (/ (pow x.im 5) (pow x.re 2))) (+ (* 2 x.im) (/ (pow x.im 7) (pow x.re 4))))> |
#<alt (+ (* -1 (/ (pow x.im 5) (pow x.re 2))) (+ (* -1 (/ (pow x.im 9) (pow x.re 6))) (+ (* 2 x.im) (/ (pow x.im 7) (pow x.re 4)))))> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x.re | @ | 0 | (+ (* (/ x.im (+ (* x.re x.re) (* x.im x.im))) (neg (* (* x.im (* x.im x.im)) x.im))) (+ x.im x.im)) |
| 0.0ms | x.im | @ | inf | (+ (* (/ x.im (+ (* x.re x.re) (* x.im x.im))) (neg (* (* x.im (* x.im x.im)) x.im))) (+ x.im x.im)) |
| 0.0ms | x.re | @ | inf | (+ (* (/ x.im (+ (* x.re x.re) (* x.im x.im))) (neg (* (* x.im (* x.im x.im)) x.im))) (+ x.im x.im)) |
| 0.0ms | x.im | @ | 0 | (+ (* (/ x.im (+ (* x.re x.re) (* x.im x.im))) (neg (* (* x.im (* x.im x.im)) x.im))) (+ x.im x.im)) |
| 0.0ms | x.im | @ | 0 | (* (* x.im (* x.im x.im)) x.im) |
| 1× | batch-egg-rewrite |
| 1 426× | lower-fma.f32 |
| 1 422× | lower-fma.f64 |
| 870× | lower-*.f32 |
| 848× | lower-*.f64 |
| 668× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 132 |
| 0 | 54 | 120 |
| 1 | 203 | 98 |
| 0 | 1611 | 97 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) |
(+.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 x.re x.re) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re) |
(*.f64 x.re x.im) |
(/.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im x.im)))) |
(*.f64 x.im (*.f64 x.im x.im)) |
(*.f64 x.im x.im) |
(/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) |
(fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (neg.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im)) (+.f64 x.im x.im)) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im) |
| Outputs |
|---|
(neg.f64 (/.f64 x.im (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))))) |
(neg.f64 (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))))) |
(/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))))) |
(/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) |
(/.f64 (neg.f64 (neg.f64 x.im)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) #s(literal -1 binary64)) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im) |
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))))) |
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) |
(*.f64 (/.f64 x.im #s(literal -1 binary64)) (*.f64 (-.f64 x.re x.im) (neg.f64 (+.f64 x.im x.re)))) |
(*.f64 (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.re)) |
(*.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re))) (-.f64 x.re x.im)) |
(+.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (+.f64 x.im x.im)) |
(+.f64 (+.f64 x.im x.im) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (+.f64 x.im x.im))) (/.f64 (+.f64 x.im x.im) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (+.f64 x.im x.im)))) |
(fma.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (+.f64 x.im x.im)) |
(fma.f64 x.im #s(literal 2 binary64) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 x.im (+.f64 x.re x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (+.f64 x.im x.im)) |
(fma.f64 x.re (+.f64 x.im x.im) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im (+.f64 x.im x.im)) |
(fma.f64 (+.f64 x.im x.im) x.re (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 (+.f64 x.im x.im) (+.f64 x.im x.im) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 (+.f64 x.im x.im) (*.f64 x.re x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 (+.f64 x.im x.im) (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 (*.f64 x.re x.re) (+.f64 x.im x.im) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 #s(literal 2 binary64) x.im (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x.im x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x.im (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) (+.f64 x.im x.im)) |
(fma.f64 (*.f64 x.re (*.f64 x.re x.re)) (+.f64 x.im x.im) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 (*.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re x.re)) #s(literal 0 binary64)) (+.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (*.f64 x.im (*.f64 x.re x.re)) #s(literal 0 binary64))) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 (*.f64 (*.f64 x.im x.im) (+.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im) (+.f64 x.im x.im)) |
(fma.f64 #s(literal 8 binary64) (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 #s(literal 4 binary64) (*.f64 x.im x.im) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 (/.f64 x.im #s(literal -1 binary64)) (*.f64 (-.f64 x.re x.im) (neg.f64 (+.f64 x.im x.re))) (+.f64 x.im x.im)) |
(fma.f64 (pow.f64 (+.f64 x.im x.im) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x.im x.im) #s(literal 3/2 binary64)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.re) (+.f64 x.im x.im)) |
(fma.f64 (*.f64 (+.f64 x.im x.im) #s(literal 2 binary64)) x.im (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re))) (-.f64 x.re x.im) (+.f64 x.im x.im)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (+.f64 x.im x.im)) (*.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (+.f64 x.im x.im))) (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (+.f64 x.im x.im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (+.f64 x.im x.im)) (fma.f64 x.im (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (neg.f64 (+.f64 x.im x.im))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (+.f64 x.im x.im)) (-.f64 (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (+.f64 x.im x.im)) (*.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (+.f64 x.im x.im)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (+.f64 x.im x.im)) (+.f64 (+.f64 x.im x.im) (-.f64 (*.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (*.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (+.f64 x.im x.im))))) |
(/.f64 (fma.f64 x.im (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (neg.f64 (+.f64 x.im x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (+.f64 x.im x.im))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (+.f64 x.im x.im))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (+.f64 x.im x.im)) (*.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (+.f64 x.im x.im))))) |
(/.f64 (neg.f64 (fma.f64 x.im (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (neg.f64 (+.f64 x.im x.im)))) (neg.f64 (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (+.f64 x.im x.im)))) |
(/.f64 (-.f64 (+.f64 x.im x.im) (*.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)))) (-.f64 (+.f64 x.im x.im) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (+.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (+.f64 x.im x.im)) (*.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (+.f64 x.im x.im))))) |
(*.f64 (fma.f64 x.im (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (neg.f64 (+.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (+.f64 x.im x.im)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 x.re x.im) (neg.f64 (+.f64 x.im x.re))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (neg.f64 (+.f64 x.im x.re)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re)) (-.f64 x.re x.im)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re))) (neg.f64 (-.f64 x.re x.im))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im)) (+.f64 x.im x.re)) |
(pow.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re)) (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re)) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) |
(*.f64 (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re))) |
(*.f64 (pow.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re)) (*.f64 (fma.f64 x.im (+.f64 x.im x.re) (*.f64 x.re x.re)) (-.f64 x.re x.im))) (fma.f64 x.im (+.f64 x.im x.re) (*.f64 x.re x.re))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (+.f64 x.im x.re)) |
(+.f64 x.im x.im) |
(+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) |
(+.f64 (*.f64 x.im (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.re x.re))) |
(+.f64 (*.f64 (+.f64 x.im x.im) x.im) (*.f64 (+.f64 x.im x.im) x.im)) |
(+.f64 (*.f64 x.im (+.f64 x.im x.im)) (*.f64 x.im (+.f64 x.im x.im))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x.im x.im)) #s(literal 3 binary64))) |
(-.f64 (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)) (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.im x.re) x.im) x.re) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x.im x.re) x.im) x.re) #s(literal 0 binary64))) |
(fma.f64 x.im #s(literal 1 binary64) x.im) |
(fma.f64 x.im x.re (*.f64 x.im x.re)) |
(fma.f64 x.im (+.f64 x.im x.im) (*.f64 x.im (+.f64 x.im x.im))) |
(fma.f64 x.im (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.re x.re))) |
(fma.f64 x.re x.im (*.f64 x.im x.re)) |
(fma.f64 x.re (*.f64 x.im x.re) (*.f64 x.im (*.f64 x.re x.re))) |
(fma.f64 (*.f64 x.im x.re) x.re (*.f64 x.im (*.f64 x.re x.re))) |
(fma.f64 (+.f64 x.im x.im) x.im (*.f64 (+.f64 x.im x.im) x.im)) |
(fma.f64 (*.f64 x.re x.re) x.im (*.f64 x.im (*.f64 x.re x.re))) |
(/.f64 #s(literal 1 binary64) (+.f64 x.im x.im)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 x.im x.im) (+.f64 x.im x.im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re x.re)) #s(literal 0 binary64)) (*.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re x.re)) #s(literal 0 binary64)) (+.f64 x.im x.im)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re x.re)) #s(literal 0 binary64)) (+.f64 x.im x.im)) (fma.f64 x.im (*.f64 x.im (*.f64 x.re x.re)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 x.im x.im) (+.f64 x.im x.im)) (fma.f64 x.im x.im #s(literal 0 binary64))) |
(/.f64 (pow.f64 (*.f64 (*.f64 x.im x.im) (+.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 x.im x.im) (+.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (+.f64 x.im x.im))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x.im x.im) (+.f64 x.im x.im)) #s(literal 0 binary64)) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (+.f64 x.im x.im))) (*.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x.im x.im) (+.f64 x.im x.im))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))) |
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(fma.f64 (pow.f64 (+.f64 x.im x.im) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x.im x.im) #s(literal 3/2 binary64)) (/.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (fma.f64 x.im x.im (*.f64 x.re x.re)))) |
(fma.f64 (neg.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (+.f64 x.im x.im)) |
(fma.f64 (*.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) #s(literal -1 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (+.f64 x.im x.im)) |
(fma.f64 (*.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im x.im))) (neg.f64 x.im) (+.f64 x.im x.im)) |
(fma.f64 (*.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) (neg.f64 (*.f64 x.im (*.f64 x.im x.im)))) x.im (+.f64 x.im x.im)) |
(fma.f64 (*.f64 (+.f64 x.im x.im) #s(literal 2 binary64)) x.im (/.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (fma.f64 x.im x.im (*.f64 x.re x.re)))) |
(fma.f64 (/.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (fma.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (fma.f64 (*.f64 x.im x.im) (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (+.f64 x.im x.im)) |
(fma.f64 (/.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (+.f64 x.im x.im)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 (+.f64 x.im x.im) (*.f64 (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (fma.f64 x.im x.im (*.f64 x.re x.re))) (+.f64 x.im x.im)))) (fma.f64 (/.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (fma.f64 x.im x.im (*.f64 x.re x.re))) (/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (neg.f64 x.im))) (*.f64 #s(literal -2 binary64) x.im)) (-.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.im)))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (fma.f64 x.im x.im (*.f64 x.re x.re))) (/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.im)) (+.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 (+.f64 x.im x.im) (*.f64 (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (fma.f64 x.im x.im (*.f64 x.re x.re))) (+.f64 x.im x.im))))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (fma.f64 x.im x.im (*.f64 x.re x.re))) (/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.im)) (+.f64 (+.f64 x.im x.im) (-.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (+.f64 x.im x.im)) (fma.f64 x.im x.im (*.f64 x.re x.re)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.im)) (fma.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (neg.f64 x.im))) (*.f64 #s(literal -2 binary64) x.im))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) (+.f64 x.im x.im)) (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im (*.f64 x.re x.re)))) |
(/.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) (*.f64 #s(literal 0 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (+.f64 x.im x.im)))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) #s(literal 0 binary64) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal 0 binary64))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (fma.f64 x.im x.im (*.f64 x.re x.re))) (/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.im))) (neg.f64 (+.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 (+.f64 x.im x.im) (*.f64 (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (fma.f64 x.im x.im (*.f64 x.re x.re))) (+.f64 x.im x.im)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.im))) (neg.f64 (fma.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (neg.f64 x.im))) (*.f64 #s(literal -2 binary64) x.im)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (neg.f64 x.im))) x.im) #s(literal 3 binary64)) (*.f64 x.im (*.f64 x.im x.im))) (fma.f64 (fma.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (neg.f64 x.im))) x.im) (fma.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (neg.f64 x.im))) x.im) (-.f64 (*.f64 x.im x.im) (*.f64 (fma.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (neg.f64 x.im))) x.im) x.im)))) |
(/.f64 (-.f64 (+.f64 x.im x.im) (/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))))) (-.f64 (+.f64 x.im x.im) (/.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (fma.f64 x.im x.im (*.f64 x.re x.re))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (neg.f64 x.im))) x.im) (fma.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (neg.f64 x.im))) x.im)) (*.f64 x.im x.im)) (-.f64 (fma.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (neg.f64 x.im))) x.im) x.im)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (fma.f64 x.im x.im (*.f64 x.re x.re))) (/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 (+.f64 x.im x.im) (*.f64 (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (fma.f64 x.im x.im (*.f64 x.re x.re))) (+.f64 x.im x.im)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (neg.f64 x.im))) (*.f64 #s(literal -2 binary64) x.im)))) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) |
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im) |
| 1× | egg-herbie |
| 6 924× | lower-fma.f64 |
| 6 924× | lower-fma.f32 |
| 2 898× | lower-*.f64 |
| 2 898× | lower-*.f32 |
| 2 356× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 390 | 2762 |
| 1 | 1238 | 2509 |
| 2 | 4601 | 2421 |
| 0 | 8264 | 2373 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x.im (pow x.re 2)) |
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))) |
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) |
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im))))) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(/ -1 (pow x.im 2)) |
(- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))) |
(- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) |
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) |
(/ 1 (pow x.re 2)) |
(/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))) (pow x.re 2)))) (+ (* -1 (/ x.im x.re)) (/ x.im x.re))) (pow x.re 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))))) (* (pow x.im 2) (+ x.im (* -1 x.im)))) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2))) (/ x.im x.re))))) (pow x.re 2)) |
(/ 1 (pow x.re 2)) |
(/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x.im 2) x.re)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) x.re))) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (/ (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2)) |
(/ 1 (pow x.re 2)) |
(+ (/ 1 (pow x.re 2)) (/ (pow x.im 2) (pow x.re 4))) |
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 4)) (/ (pow x.im 2) (pow x.re 6)))) (/ 1 (pow x.re 2))) |
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 6)) (/ (pow x.im 2) (pow x.re 8)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))) |
(/ -1 (pow x.im 2)) |
(/ (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1) (pow x.im 2)) |
(/ (- (* -1 (/ (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2)) (pow x.im 2))) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))) (pow x.im 2)) |
(/ (- (* -1 (/ (+ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) (* (pow x.re 2) (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 2))))))) (pow x.im 2)) |
(/ -1 (pow x.im 2)) |
(/ (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1) (pow x.im 2)) |
(/ (- (* -1 (/ (- (+ (/ (pow x.re 2) x.im) (/ (pow (+ x.re (* -1 x.re)) 2) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im) (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) x.im)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2)) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im x.re)) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(/ -1 (pow x.im 3)) |
(/ -1 (pow x.im 3)) |
(/ -1 (pow x.im 3)) |
(/ -1 (pow x.im 3)) |
(/ -1 (pow x.im 3)) |
(/ -1 (pow x.im 3)) |
(/ -1 (pow x.im 3)) |
(/ -1 (pow x.im 3)) |
(/ -1 (pow x.im 3)) |
(/ -1 (pow x.im 3)) |
(/ -1 (pow x.im 3)) |
(/ -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(/ x.im (pow x.re 2)) |
(* x.im (+ (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2)))) |
(* x.im (+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 6)) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))) |
(* x.im (+ (* (pow x.im 2) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 8))) (/ 1 (pow x.re 6)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))) |
(/ 1 x.im) |
(/ (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))) x.im) |
(/ (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2))) x.im) |
(/ (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2)))) x.im) |
(/ 1 x.im) |
(* -1 (/ (- (/ (pow x.re 2) (pow x.im 2)) 1) x.im)) |
(* -1 (/ (- (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))) x.im)) |
(* -1 (/ (- (/ (pow x.re 6) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 4) (pow x.im 4))))) x.im)) |
(/ 1 x.im) |
(+ (* -1 (/ (pow x.re 2) (pow x.im 3))) (/ 1 x.im)) |
(+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 5)) (/ 1 (pow x.im 3)))) (/ 1 x.im)) |
(+ (* (pow x.re 2) (- (* (pow x.re 2) (+ (* -1 (/ (pow x.re 2) (pow x.im 7))) (/ 1 (pow x.im 5)))) (/ 1 (pow x.im 3)))) (/ 1 x.im)) |
(/ x.im (pow x.re 2)) |
(/ (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2)) |
(/ (- (+ x.im (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2))) (pow x.re 2)) |
(/ (- (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2)) |
(/ x.im (pow x.re 2)) |
(/ (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2)) |
(/ (- (+ x.im (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2))) (pow x.re 2)) |
(/ (- (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2)) |
(* 2 x.im) |
(* x.im (+ 2 (* -1 (/ (pow x.im 4) (pow x.re 2))))) |
(* x.im (+ 2 (* (pow x.im 4) (- (/ (pow x.im 2) (pow x.re 4)) (/ 1 (pow x.re 2)))))) |
(* x.im (+ 2 (* (pow x.im 4) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 6))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (+ (* 2 (/ 1 (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ 1 (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ 1 (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 6) (pow x.im 6))))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ 2 (pow x.re 2)) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ 1 (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ 1 (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))))))) |
(+ (* -1 (pow x.im 3)) (* 2 x.im)) |
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (pow x.re 2)))) |
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.re 2) x.im)))))) |
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* (pow x.re 2) (+ x.im (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 3)) (/ 1 x.im))))))) |
(* 2 x.im) |
(+ (* -1 (/ (pow x.im 5) (pow x.re 2))) (* 2 x.im)) |
(+ (* -1 (/ (pow x.im 5) (pow x.re 2))) (+ (* 2 x.im) (/ (pow x.im 7) (pow x.re 4)))) |
(+ (* -1 (/ (pow x.im 5) (pow x.re 2))) (+ (* -1 (/ (pow x.im 9) (pow x.re 6))) (+ (* 2 x.im) (/ (pow x.im 7) (pow x.re 4))))) |
(* 2 x.im) |
(+ (* -1 (/ (pow x.im 5) (pow x.re 2))) (* 2 x.im)) |
(+ (* -1 (/ (pow x.im 5) (pow x.re 2))) (+ (* 2 x.im) (/ (pow x.im 7) (pow x.re 4)))) |
(+ (* -1 (/ (pow x.im 5) (pow x.re 2))) (+ (* -1 (/ (pow x.im 9) (pow x.re 6))) (+ (* 2 x.im) (/ (pow x.im 7) (pow x.re 4))))) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
| Outputs |
|---|
(* x.im (pow x.re 2)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re x.re)) |
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) |
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 x.re x.re))) |
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) |
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 x.re x.re))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im))))) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im))))) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 x.re x.re))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 x.re x.re))) |
(* x.im (pow x.re 2)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) |
(*.f64 x.im (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(*.f64 (*.f64 x.re x.re) (fma.f64 (neg.f64 x.im) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) x.im)) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(*.f64 (*.f64 x.re x.re) (fma.f64 (neg.f64 x.im) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) x.im)) |
(* x.im (pow x.re 2)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) |
(*.f64 x.im (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)))) |
(*.f64 (*.f64 x.re x.re) (fma.f64 (neg.f64 x.im) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) x.im)) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)))) |
(*.f64 (*.f64 x.re x.re) (fma.f64 (neg.f64 x.im) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) x.im)) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) |
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))) |
(* -1 (pow x.im 3)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(neg.f64 (*.f64 x.im (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -1 binary64))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
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(fma.f64 x.im (fma.f64 x.im (neg.f64 x.im) #s(literal 2 binary64)) (*.f64 x.re (*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))))) |
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* (pow x.re 2) (+ x.im (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 3)) (/ 1 x.im))))))) |
(fma.f64 (*.f64 x.re x.re) (fma.f64 x.re (*.f64 x.re (/.f64 (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64)) x.im)) x.im) (*.f64 x.im (fma.f64 x.im (neg.f64 x.im) #s(literal 2 binary64)))) |
(* 2 x.im) |
(*.f64 x.im #s(literal 2 binary64)) |
(+ (* -1 (/ (pow x.im 5) (pow x.re 2))) (* 2 x.im)) |
(*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (*.f64 x.re x.re)))) |
(+ (* -1 (/ (pow x.im 5) (pow x.re 2))) (+ (* 2 x.im) (/ (pow x.im 7) (pow x.re 4)))) |
(fma.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (*.f64 x.re x.re))) (/.f64 (pow.f64 x.im #s(literal 7 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)))) |
(+ (* -1 (/ (pow x.im 5) (pow x.re 2))) (+ (* -1 (/ (pow x.im 9) (pow x.re 6))) (+ (* 2 x.im) (/ (pow x.im 7) (pow x.re 4))))) |
(-.f64 (fma.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (*.f64 x.re x.re))) (/.f64 (pow.f64 x.im #s(literal 7 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)))) (/.f64 (pow.f64 x.im #s(literal 9 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) |
(* 2 x.im) |
(*.f64 x.im #s(literal 2 binary64)) |
(+ (* -1 (/ (pow x.im 5) (pow x.re 2))) (* 2 x.im)) |
(*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (*.f64 x.re x.re)))) |
(+ (* -1 (/ (pow x.im 5) (pow x.re 2))) (+ (* 2 x.im) (/ (pow x.im 7) (pow x.re 4)))) |
(fma.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (*.f64 x.re x.re))) (/.f64 (pow.f64 x.im #s(literal 7 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)))) |
(+ (* -1 (/ (pow x.im 5) (pow x.re 2))) (+ (* -1 (/ (pow x.im 9) (pow x.re 6))) (+ (* 2 x.im) (/ (pow x.im 7) (pow x.re 4))))) |
(-.f64 (fma.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (*.f64 x.re x.re))) (/.f64 (pow.f64 x.im #s(literal 7 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)))) (/.f64 (pow.f64 x.im #s(literal 9 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) |
(pow x.im 4) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) |
(pow x.im 4) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) |
(pow x.im 4) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) |
(pow x.im 4) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) |
(pow x.im 4) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) |
(pow x.im 4) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) |
(pow x.im 4) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) |
(pow x.im 4) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) |
(pow x.im 4) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) |
(pow x.im 4) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) |
(pow x.im 4) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) |
(pow x.im 4) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) |
Compiled 12 398 to 913 computations (92.6% saved)
20 alts after pruning (14 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 666 | 8 | 674 |
| Fresh | 6 | 6 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 674 | 20 | 694 |
| Status | Accuracy | Program |
|---|---|---|
| 17.3% | (fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (neg.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (+.f64 x.im x.im)) | |
| 55.8% | (fma.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re))) (-.f64 x.re x.im) (+.f64 x.im x.im)) | |
| 82.8% | (fma.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) | |
| 55.8% | (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im)) | |
| 62.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x.im) x.im) x.im)) | |
| 62.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)) x.im)) | |
| ✓ | 62.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im x.im)))) |
| 54.9% | (+.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (+.f64 x.im x.im)) | |
| 57.6% | (*.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re) | |
| 57.6% | (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) | |
| 57.6% | (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) | |
| 37.2% | (*.f64 (*.f64 x.im x.re) x.re) | |
| ✓ | 57.7% | (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re) |
| 18.0% | (*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64))) | |
| ✓ | 88.6% | (*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
| ✓ | 36.4% | (*.f64 x.im (*.f64 x.re x.re)) |
| ✓ | 62.2% | (*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
| 3.2% | (*.f64 x.im #s(literal 2 binary64)) | |
| 57.6% | (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.im) x.re)) | |
| ✓ | 50.7% | (*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
Compiled 1 007 to 283 computations (71.9% saved)
| Inputs |
|---|
(*.f64 x.im #s(literal 2 binary64)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64))) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.im) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re) |
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
(*.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re) |
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im)) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.im (*.f64 x.im (neg.f64 x.im)))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im x.im)))) |
(fma.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re))) (-.f64 x.re x.im) (+.f64 x.im x.im)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)) x.im)) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))) |
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (+.f64 x.im x.im)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x.im) x.im) x.im)) |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.re (neg.f64 (/.f64 (*.f64 x.im x.im) x.re))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(fma.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (+.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (neg.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (+.f64 x.im x.im)) |
(fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (neg.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im)) (+.f64 x.im x.im)) |
(fma.f64 (+.f64 x.re x.im) (fma.f64 (/.f64 x.im x.re) (*.f64 (neg.f64 x.im) x.re) (*.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 x.im x.im)) |
(fma.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (+.f64 x.im x.im)) |
(+.f64 (/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 x.im (-.f64 x.re x.im))) (-.f64 x.re x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im)) (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (fma.f64 x.re x.re (*.f64 x.im x.im))) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(/.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)))) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))))) |
| Outputs |
|---|
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(fma.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re))) (-.f64 x.re x.im) (+.f64 x.im x.im)) |
3 calls:
| 187.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 15.0ms | x.re |
| 12.0ms | x.im |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 2 | x.re |
| 99.8% | 2 | x.im |
| 99.8% | 2 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 27 to 15 computations (44.4% saved)
| Inputs |
|---|
(*.f64 x.im #s(literal 2 binary64)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64))) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.im) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re) |
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
(*.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re) |
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im)) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.im (*.f64 x.im (neg.f64 x.im)))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im x.im)))) |
| Outputs |
|---|
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im)) |
2 calls:
| 6.0ms | x.im |
| 5.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 99.8% | 2 | x.im |
Compiled 24 to 13 computations (45.8% saved)
| Inputs |
|---|
(*.f64 x.im #s(literal 2 binary64)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64))) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.im) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re) |
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
(*.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re) |
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im)) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.im (*.f64 x.im (neg.f64 x.im)))) |
| Outputs |
|---|
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im)) |
2 calls:
| 10.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 5.0ms | x.im |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | x.im |
| 99.8% | 3 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 24 to 13 computations (45.8% saved)
| Inputs |
|---|
(*.f64 x.im #s(literal 2 binary64)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64))) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.im) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re) |
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
(*.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re) |
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im)) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
| Outputs |
|---|
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) |
(*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im)) |
1 calls:
| 4.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 21 to 11 computations (47.6% saved)
| Inputs |
|---|
(*.f64 x.im #s(literal 2 binary64)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64))) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.im) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re) |
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
(*.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re) |
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im)) |
| Outputs |
|---|
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re) |
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im)) |
1 calls:
| 4.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 21 to 11 computations (47.6% saved)
| Inputs |
|---|
(*.f64 x.im #s(literal 2 binary64)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64))) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.im) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re) |
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
(*.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re) |
| Outputs |
|---|
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
2 calls:
| 4.0ms | x.im |
| 4.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 2 | x.im |
| 98.4% | 3 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 24 to 13 computations (45.8% saved)
| Inputs |
|---|
(*.f64 x.im #s(literal 2 binary64)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64))) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.im) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) |
| Outputs |
|---|
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
1 calls:
| 4.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 21 to 11 computations (47.6% saved)
| Inputs |
|---|
(*.f64 x.im #s(literal 2 binary64)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64))) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.im) x.re)) |
| Outputs |
|---|
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.im) x.re)) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
1 calls:
| 3.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 21 to 11 computations (47.6% saved)
| Inputs |
|---|
(*.f64 x.im #s(literal 2 binary64)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64))) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
| Outputs |
|---|
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
2 calls:
| 3.0ms | x.re |
| 2.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.9% | 2 | x.re |
| 91.5% | 3 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 24 to 13 computations (45.8% saved)
| Inputs |
|---|
(*.f64 x.im #s(literal 2 binary64)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64))) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
| Outputs |
|---|
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im (*.f64 x.im (neg.f64 x.im))) |
3 calls:
| 2.0ms | x.im |
| 2.0ms | x.re |
| 2.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.7% | 2 | x.re |
| 66.5% | 2 | x.im |
| 78.0% | 3 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 27 to 15 computations (44.4% saved)
| Inputs |
|---|
(*.f64 x.im #s(literal 2 binary64)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 x.im x.re) x.re) |
3 calls:
| 2.0ms | x.im |
| 2.0ms | x.re |
| 2.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.2% | 1 | x.im |
| 37.2% | 1 | x.re |
| 37.2% | 1 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 27 to 15 computations (44.4% saved)
| Inputs |
|---|
(*.f64 x.im #s(literal 2 binary64)) |
(*.f64 x.im (*.f64 x.re x.re)) |
| Outputs |
|---|
(*.f64 x.im (*.f64 x.re x.re)) |
3 calls:
| 2.0ms | x.im |
| 2.0ms | x.re |
| 1.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.4% | 1 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 36.4% | 1 | x.re |
| 36.4% | 1 | x.im |
Compiled 27 to 15 computations (44.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 x.im #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 x.im #s(literal 2 binary64)) |
3 calls:
| 1.0ms | x.re |
| 1.0ms | x.im |
| 1.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.2% | 1 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 3.2% | 1 | x.re |
| 3.2% | 1 | x.im |
Compiled 27 to 15 computations (44.4% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 8.710665333782219e+64 | 1.338534367002017e+71 |
| 9.0ms | 96× | 0 | valid |
Compiled 240 to 136 computations (43.3% saved)
ival-mult: 5.0ms (75.3% of total)ival-add: 1.0ms (15.1% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.710665333782219e+64 | 1.338534367002017e+71 |
Compiled 126 to 70 computations (44.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 1.1126876349761608e-194 | 4.769486400892208e-191 |
Compiled 24 to 16 computations (33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 2.237236846716458e-174 | 1.8056826573705055e-168 |
Compiled 24 to 16 computations (33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -2.737937863079972e-280 | 0.0 |
Compiled 24 to 16 computations (33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -2.737937863079972e-280 | 0.0 |
Compiled 24 to 16 computations (33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -2.737937863079972e-280 | 0.0 |
Compiled 24 to 16 computations (33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -2.737937863079972e-280 | 0.0 |
Compiled 24 to 16 computations (33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -2.737937863079972e-280 | 0.0 |
Compiled 24 to 16 computations (33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -2.737937863079972e-280 | 0.0 |
Compiled 24 to 16 computations (33.3% saved)
| 1× | egg-herbie |
| 46× | *-commutative_binary64 |
| 16× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 616 |
| 1 | 108 | 616 |
| 2 | 118 | 616 |
| 3 | 127 | 616 |
| 4 | 130 | 616 |
| 5 | 131 | 616 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x.im #s(literal 100000000000000004188152556421145795899143386664033828314342771180699648 binary64)) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re))) (-.f64 x.re x.im) (+.f64 x.im x.im))) |
(if (<=.f64 x.im #s(literal 5000000000000000362657181907646175630791872048232609777591050777395200 binary64)) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 6575169876935467/328758493846773344202561867680008041596896237676448366218642556441795759643567551382104158517349278201686435553511138607063714515636487741445488423165742553122201479445527787386978984867770169829455828233486336 binary64)) (*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 4455508415646675/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456 binary64)) (*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.im) x.re)) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 x.im x.re) x.re) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))))) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 x.im #s(literal 2 binary64)) |
| Outputs |
|---|
(if (<=.f64 x.im #s(literal 100000000000000004188152556421145795899143386664033828314342771180699648 binary64)) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re))) (-.f64 x.re x.im) (+.f64 x.im x.im))) |
(if (<=.f64 x.im #s(literal 100000000000000004188152556421145795899143386664033828314342771180699648 binary64)) (fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re))) (-.f64 x.re x.im) (+.f64 x.im x.im))) |
(if (<=.f64 x.im #s(literal 5000000000000000362657181907646175630791872048232609777591050777395200 binary64)) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im))) |
(if (<=.f64 x.im #s(literal 5000000000000000362657181907646175630791872048232609777591050777395200 binary64)) (fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 6575169876935467/328758493846773344202561867680008041596896237676448366218642556441795759643567551382104158517349278201686435553511138607063714515636487741445488423165742553122201479445527787386978984867770169829455828233486336 binary64)) (*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im)))) |
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal 6575169876935467/328758493846773344202561867680008041596896237676448366218642556441795759643567551382104158517349278201686435553511138607063714515636487741445488423165742553122201479445527787386978984867770169829455828233486336 binary64)) (*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (neg.f64 (*.f64 x.im x.im)))) (if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 4455508415646675/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456 binary64)) (*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im)))) |
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal 4455508415646675/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456 binary64)) (*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (neg.f64 (*.f64 x.im x.im)))) (if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.im)))) |
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (*.f64 x.re (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))))) |
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (*.f64 x.re (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))))) |
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.im) x.re)) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))))) |
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.im x.re))) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))))) |
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 x.im x.re) x.re) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))))) |
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (*.f64 x.re (*.f64 x.im x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.re (*.f64 x.im x.re)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 x.im #s(literal 2 binary64)) |
| 11 892× | lower-fma.f64 |
| 11 892× | lower-fma.f32 |
| 8 354× | lower-fma.f64 |
| 8 354× | lower-fma.f32 |
| 7 512× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 607 | 4888 |
| 1 | 2033 | 4057 |
| 2 | 7806 | 4023 |
| 0 | 8273 | 3901 |
| 0 | 333 | 4110 |
| 1 | 1093 | 3122 |
| 2 | 4419 | 2879 |
| 0 | 8205 | 2827 |
| 0 | 29 | 132 |
| 0 | 54 | 120 |
| 1 | 203 | 98 |
| 0 | 1611 | 97 |
| 0 | 29 | 185 |
| 0 | 59 | 167 |
| 1 | 239 | 159 |
| 2 | 2253 | 159 |
| 0 | 8671 | 158 |
| 0 | 55 | 771 |
| 1 | 177 | 735 |
| 2 | 582 | 735 |
| 3 | 2570 | 735 |
| 4 | 6944 | 735 |
| 0 | 8427 | 735 |
| 0 | 390 | 2762 |
| 1 | 1238 | 2509 |
| 2 | 4601 | 2421 |
| 0 | 8264 | 2373 |
| 0 | 35 | 254 |
| 0 | 68 | 201 |
| 1 | 263 | 127 |
| 2 | 2172 | 127 |
| 0 | 8374 | 127 |
| 0 | 11 | 44 |
| 0 | 20 | 44 |
| 1 | 79 | 36 |
| 0 | 536 | 35 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 596 to 457 computations (71.4% saved)
Compiled 1 604 to 312 computations (80.5% saved)
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