
Time bar (total: 9.0s)
| 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: 563.0ms (75.6% of total)ival-add: 108.0ms (14.5% of total)ival-sub: 65.0ms (8.7% of total)ival-true: 5.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 20 | 0 | - | 20 | (-1.2770270667582986e+295 8.880228765669092e+88) | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 13 | 0 | - | 13 | (-6.829142901436885e+262 5.150735496052693e+297) | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| 10 | 0 | - | 0 | - | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) |
| 0 | 0 | - | 0 | - | (*.f64 x.re x.im) |
| 0 | 34 | (-9.334010149035472e+267 -2.4777834146529996e+261) | 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.im) |
| 0 | 0 | - | 0 | - | x.re |
| 0 | 0 | - | 0 | - | x.im |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | nan-rescue | 34 | 0 |
| ↳ | (*.f64 x.re x.im) | overflow | 34 | |
| ↳ | (*.f64 x.im x.re) | overflow | 34 | |
*.f64 | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) | n*o | 10 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 34 | 3 |
| - | 10 | 209 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 34 | 0 | 3 |
| - | 10 | 0 | 209 |
| number | freq |
|---|---|
| 0 | 212 |
| 1 | 44 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 100.0ms | 512× | 0 | valid |
Compiled 218 to 48 computations (78% saved)
ival-mult: 77.0ms (92.2% of total)ival-sub: 4.0ms (4.8% of total)ival-add: 2.0ms (2.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 22 902× | lower-fma.f64 |
| 22 902× | lower-fma.f32 |
| 3 052× | lower-*.f32 |
| 3 040× | lower-*.f64 |
| 2 270× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 107 |
| 1 | 106 | 89 |
| 2 | 308 | 85 |
| 3 | 1267 | 55 |
| 4 | 3190 | 55 |
| 5 | 5166 | 55 |
| 6 | 6218 | 55 |
| 7 | 6536 | 55 |
| 8 | 6791 | 55 |
| 9 | 6886 | 55 |
| 10 | 6903 | 55 |
| 11 | 7825 | 55 |
| 0 | 11 | 19 |
| 0 | 20 | 19 |
| 1 | 38 | 17 |
| 2 | 80 | 17 |
| 3 | 236 | 11 |
| 4 | 666 | 11 |
| 5 | 2137 | 11 |
| 6 | 4288 | 11 |
| 7 | 6316 | 11 |
| 8 | 7399 | 11 |
| 9 | 7722 | 11 |
| 10 | 7761 | 11 |
| 11 | 7761 | 11 |
| 0 | 8052 | 10 |
| 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.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| Outputs |
|---|
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im) (pow.f64 x.re #s(literal 3 binary64))) |
(abs x.im)
(negabs x.re)
Compiled 19 to 11 computations (42.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.6% | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
Compiled 19 to 11 computations (42.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x.re x.re) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) | |
| cost-diff | 128 | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | |
| cost-diff | 192 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
| 22 902× | lower-fma.f64 |
| 22 902× | lower-fma.f32 |
| 3 052× | lower-*.f32 |
| 3 040× | lower-*.f64 |
| 2 270× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 65 |
| 0 | 20 | 65 |
| 1 | 38 | 59 |
| 2 | 80 | 59 |
| 3 | 236 | 53 |
| 4 | 666 | 53 |
| 5 | 2137 | 53 |
| 6 | 4288 | 53 |
| 7 | 6316 | 53 |
| 8 | 7399 | 53 |
| 9 | 7722 | 53 |
| 10 | 7761 | 53 |
| 11 | 7761 | 53 |
| 0 | 8052 | 52 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) |
(-.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.im) |
(+.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.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im) (pow.f64 x.re #s(literal 3 binary64))) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) |
(*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) |
(*.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.im) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.im) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(*.f64 x.im x.re) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.140625 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) | |
| accuracy | 2.4604813178332097 | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) | |
| accuracy | 2.953110550811441 | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | |
| accuracy | 4.078125000000001 | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 20.0ms | 256× | 0 | valid |
Compiled 67 to 13 computations (80.6% saved)
ival-mult: 9.0ms (75.8% of total)ival-sub: 2.0ms (16.8% of total)ival-add: 1.0ms (8.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ()) |
#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow x.im 2)) (pow x.re 2)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow x.im 2)) (pow x.re 2)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow x.im 2)) (pow x.re 2)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x.im 2)) (taylor inf x.im) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (taylor inf x.im) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor inf x.im) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor inf x.im) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor inf x.im) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x.im 2)) (taylor -inf x.im) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor -inf x.im) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor -inf x.im) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor -inf x.im) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x.im 2)) (taylor 0 x.re) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x.re 2) (pow x.im 2)) (taylor 0 x.re) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x.re 2) (pow x.im 2)) (taylor 0 x.re) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x.re 2) (pow x.im 2)) (taylor 0 x.re) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x.re | @ | 0 | ((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
| 2.0ms | x.re | @ | inf | ((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
| 2.0ms | x.re | @ | -inf | ((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
| 2.0ms | x.im | @ | 0 | ((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
| 2.0ms | x.im | @ | inf | ((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
| 1× | egg-herbie |
| 12 920× | lower-fma.f64 |
| 12 920× | lower-fma.f32 |
| 2 972× | lower-*.f64 |
| 2 972× | lower-*.f32 |
| 1 386× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 888 |
| 1 | 169 | 888 |
| 2 | 519 | 888 |
| 3 | 2112 | 888 |
| 4 | 5776 | 888 |
| 0 | 8249 | 870 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(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)) |
(pow x.re 3) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(pow x.re 3) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) 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)) |
(* (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) x.re)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) 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)) |
(* (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) x.re)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) 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)) |
(- (pow x.re 2) (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(* -1 (* (pow x.im 2) x.re)) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(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 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(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 3) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
| Outputs |
|---|
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* -1 (pow x.im 2)) |
(*.f64 (neg.f64 x.im) x.im) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(* -1 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* -1 (pow x.im 2)) |
(*.f64 (neg.f64 x.im) x.im) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(* -1 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* -1 (pow x.im 2)) |
(*.f64 (neg.f64 x.im) x.im) |
(- (pow x.re 2) (pow x.im 2)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(- (pow x.re 2) (pow x.im 2)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(- (pow x.re 2) (pow x.im 2)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(* -1 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(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.re x.im) (+.f64 x.re x.im)) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(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.re x.im) (+.f64 x.re x.im)) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) |
| 348× | lower-fma.f64 |
| 348× | lower-fma.f32 |
| 336× | lower-*.f32 |
| 324× | lower-*.f64 |
| 152× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 54 |
| 0 | 20 | 54 |
| 1 | 83 | 42 |
| 0 | 572 | 41 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) |
(*.f64 x.re x.re) |
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
| Outputs |
|---|
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) |
(*.f64 x.im (+.f64 x.re x.re)) |
(*.f64 x.re (+.f64 x.im x.im)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 x.im x.re (*.f64 x.im x.re)) |
(fma.f64 x.re x.im (*.f64 x.im x.re)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (neg.f64 (*.f64 x.im x.re)) (neg.f64 (*.f64 x.im x.re))) |
(+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re)))) |
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) |
(/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)) (*.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (*.f64 (neg.f64 x.im) x.im)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) |
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) |
(fma.f64 x.im (neg.f64 x.im) (*.f64 x.re x.re)) |
(fma.f64 x.re x.re (*.f64 (neg.f64 x.im) x.im)) |
(-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 x.im x.im (*.f64 x.re x.re))) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 x.im x.im (*.f64 x.re x.re)))) |
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(+.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 x.re x.re)) |
(+.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) |
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) |
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) |
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) |
(*.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) |
(/.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.im x.im (*.f64 x.re x.re))) |
(/.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) |
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) |
(fma.f64 x.re (*.f64 x.re x.re) (*.f64 x.re (*.f64 (neg.f64 x.im) x.im))) |
(+.f64 (*.f64 (*.f64 x.re x.re) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) |
(+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 (neg.f64 x.im) x.im))) |
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64))) |
(*.f64 x.re x.re) |
(pow.f64 x.re #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64))) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) |
(fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) |
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(+.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) |
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 x.im)) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) |
(*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) |
(/.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) |
(fma.f64 (*.f64 x.im x.re) x.im (*.f64 (*.f64 x.im x.re) x.im)) |
(fma.f64 x.im (*.f64 x.im x.re) (*.f64 x.im (*.f64 x.im x.re))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) |
(+.f64 (*.f64 (*.f64 x.im x.re) x.im) (*.f64 (*.f64 x.im x.re) x.im)) |
(+.f64 (*.f64 x.im (*.f64 x.im x.re)) (*.f64 x.im (*.f64 x.im x.re))) |
Compiled 4 631 to 354 computations (92.4% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 219 | 9 | 228 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 220 | 9 | 229 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 30.3% | (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 14.6% | (-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| ▶ | 91.9% | (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| ▶ | 48.8% | (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| ▶ | 66.9% | (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 52.4% | (-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| 58.2% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) | |
| 91.1% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) | |
| ▶ | 48.8% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
Compiled 302 to 194 computations (35.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) | |
| cost-diff | 192 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| cost-diff | 448 | (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| cost-diff | 0 | #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) | |
| cost-diff | 192 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| cost-diff | 448 | (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| cost-diff | 0 | #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) | |
| cost-diff | 192 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| cost-diff | 448 | (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| cost-diff | 0 | (*.f64 x.im x.im) | |
| cost-diff | 0 | (*.f64 (*.f64 x.im x.im) x.re) | |
| cost-diff | 0 | (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) | |
| cost-diff | 0 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) | |
| cost-diff | 0 | (+.f64 x.im x.re) | |
| cost-diff | 0 | (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) | |
| cost-diff | 192 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| cost-diff | 832 | (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 21 508× | lower-fma.f32 |
| 21 506× | lower-fma.f64 |
| 3 276× | lower-*.f32 |
| 3 250× | lower-*.f64 |
| 2 380× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 360 |
| 0 | 66 | 360 |
| 1 | 112 | 334 |
| 2 | 200 | 334 |
| 3 | 506 | 316 |
| 4 | 1654 | 316 |
| 5 | 4083 | 316 |
| 6 | 6817 | 316 |
| 0 | 8331 | 311 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) |
(+.f64 x.im x.re) |
x.im |
x.re |
(*.f64 (-.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.im) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
#s(literal -3 binary64) |
(*.f64 (*.f64 x.im x.im) x.re) |
(*.f64 x.im x.im) |
x.im |
x.re |
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) |
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) |
(*.f64 x.re x.re) |
x.re |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
x.im |
(*.f64 x.im x.re) |
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) |
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) |
(*.f64 (neg.f64 x.im) x.im) |
(neg.f64 x.im) |
x.im |
x.re |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) |
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) |
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) |
(pow.f64 x.re #s(literal 4 binary64)) |
x.re |
#s(literal 4 binary64) |
(pow.f64 x.im #s(literal 4 binary64)) |
x.im |
(fma.f64 x.im x.im (*.f64 x.re x.re)) |
(*.f64 x.re x.re) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
(+.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 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re) |
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) |
(*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) |
(+.f64 x.im x.re) |
(+.f64 x.re x.im) |
x.im |
x.re |
(*.f64 (-.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.im) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.im) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(*.f64 x.re x.im) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(*.f64 (*.f64 x.im x.im) x.re) |
(*.f64 x.im x.im) |
x.im |
x.re |
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x.im) x.im #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))) x.re) |
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) |
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) |
(*.f64 x.re x.re) |
x.re |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.im) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) |
(*.f64 x.re x.im) |
x.im |
(*.f64 x.im x.re) |
(*.f64 x.re x.im) |
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x.im) x.im #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))) x.re) |
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) |
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) |
(*.f64 (neg.f64 x.im) x.im) |
(neg.f64 x.im) |
x.im |
x.re |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.im) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(*.f64 x.re x.im) |
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x.im) x.im (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) |
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) |
(*.f64 (/.f64 x.re (fma.f64 x.re x.re (*.f64 x.im x.im))) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) |
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) |
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) |
(pow.f64 x.re #s(literal 4 binary64)) |
x.re |
#s(literal 4 binary64) |
(pow.f64 x.im #s(literal 4 binary64)) |
x.im |
(fma.f64 x.im x.im (*.f64 x.re x.re)) |
(fma.f64 x.re x.re (*.f64 x.im x.im)) |
(*.f64 x.re x.re) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.im) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(*.f64 x.re x.im) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.5975624420543904 | (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) | |
| accuracy | 4.078125000000001 | (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| accuracy | 8.136679530773911 | (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) | |
| accuracy | 38.32297320399072 | (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) | |
| accuracy | 0.140625 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) | |
| accuracy | 2.4604813178332097 | (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) | |
| accuracy | 4.078125000000001 | (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| accuracy | 31.242696286796466 | #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) | |
| accuracy | 0.140625 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) | |
| accuracy | 2.4604813178332097 | (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) | |
| accuracy | 4.078125000000001 | (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| accuracy | 28.63834963092084 | #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) | |
| accuracy | 0 | (*.f64 x.im x.im) | |
| accuracy | 0.14453125 | (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) | |
| accuracy | 6.664713992380684 | (*.f64 (*.f64 x.im x.im) x.re) | |
| accuracy | 30.315111154756256 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 x.re x.im) x.re) | |
| accuracy | 0.10546875 | (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) | |
| accuracy | 0.140625 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) | |
| accuracy | 4.078125000000001 | (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 216.0ms | 256× | 0 | valid |
Compiled 330 to 31 computations (90.6% saved)
ival-mult: 80.0ms (48.6% of total)ival-add: 70.0ms (42.6% of total)ival-sub: 6.0ms (3.6% of total)ival-pow: 5.0ms (3% of total)ival-div: 2.0ms (1.2% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ()) |
#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) (patch #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x.im x.im) x.re) (patch (*.f64 (*.f64 x.im x.im) x.re) #<representation binary64>) () ()) |
#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (patch (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt x.re (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) (patch #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) (patch #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) (patch #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) (patch #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) x.re) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.im x.im) x.re) (patch (*.f64 (*.f64 x.im x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) x.re) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.im x.im) x.re) (patch (*.f64 (*.f64 x.im x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) x.re) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.im x.im) x.re) (patch (*.f64 (*.f64 x.im x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) x.re) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.im x.im) x.re) (patch (*.f64 (*.f64 x.im x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ()) |
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ()) |
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ()) |
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor 0 x.im) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow x.im 2)) (pow x.re 2)) (taylor 0 x.im) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow x.im 2)) (pow x.re 2)) (taylor 0 x.im) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow x.im 2)) (pow x.re 2)) (taylor 0 x.im) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (* x.im x.re)) (pow x.re 2)) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
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#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x.im 2) x.re) (taylor inf x.im) (#s(alt (*.f64 (*.f64 x.im x.im) x.re) (patch (*.f64 (*.f64 x.im x.im) x.re) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1)) (taylor inf x.im) (#s(alt (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1)) (taylor inf x.im) (#s(alt (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt x.im (taylor -inf x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x.im 2) x.re) (taylor -inf x.im) (#s(alt (*.f64 (*.f64 x.im x.im) x.re) (patch (*.f64 (*.f64 x.im x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) x.re) (taylor -inf x.im) (#s(alt (*.f64 (*.f64 x.im x.im) x.re) (patch (*.f64 (*.f64 x.im x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) x.re) (taylor -inf x.im) (#s(alt (*.f64 (*.f64 x.im x.im) x.re) (patch (*.f64 (*.f64 x.im x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) x.re) (taylor -inf x.im) (#s(alt (*.f64 (*.f64 x.im x.im) x.re) (patch (*.f64 (*.f64 x.im x.im) x.re) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor -inf x.im) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor -inf x.im) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor -inf x.im) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x.im 2) x.re) (taylor 0 x.re) (#s(alt (*.f64 (*.f64 x.im x.im) x.re) (patch (*.f64 (*.f64 x.im x.im) x.re) #<representation binary64>) () ())) ()) |
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#s(alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x.im 2)) (taylor 0 x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x.re 2) (pow x.im 2)) (taylor 0 x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x.re 2) (pow x.im 2)) (taylor 0 x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x.re 2) (pow x.im 2)) (taylor 0 x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x.im 2)) (taylor 0 x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x.re 2) (pow x.im 2)) (taylor 0 x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x.re 2) (pow x.im 2)) (taylor 0 x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x.re 2) (pow x.im 2)) (taylor 0 x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
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#s(alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.re) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.re) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.re) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.im 4) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (patch (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ (* -1 (pow x.im 4)) (pow x.re 4))) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (patch (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ (* -1 (pow x.im 4)) (pow x.re 4))) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (patch (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ (* -1 (pow x.im 4)) (pow x.re 4))) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (patch (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x.im x.re)) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ x.re (* -1 x.im))) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ x.re (* -1 x.im))) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ x.re (* -1 x.im))) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x.im 4)) (taylor 0 x.re) (#s(alt (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x.re 4) (pow x.im 4)) (taylor 0 x.re) (#s(alt (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x.re 4) (pow x.im 4)) (taylor 0 x.re) (#s(alt (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x.re 4) (pow x.im 4)) (taylor 0 x.re) (#s(alt (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) (taylor inf x.re) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) (taylor inf x.re) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) (taylor inf x.re) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt x.re (taylor inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) (patch #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) (patch #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) (patch #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) (patch #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) x.re) (taylor inf x.re) (#s(alt (*.f64 (*.f64 x.im x.im) x.re) (patch (*.f64 (*.f64 x.im x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) x.re) (taylor inf x.re) (#s(alt (*.f64 (*.f64 x.im x.im) x.re) (patch (*.f64 (*.f64 x.im x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) x.re) (taylor inf x.re) (#s(alt (*.f64 (*.f64 x.im x.im) x.re) (patch (*.f64 (*.f64 x.im x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) x.re) (taylor inf x.re) (#s(alt (*.f64 (*.f64 x.im x.im) x.re) (patch (*.f64 (*.f64 x.im x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 5) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (patch (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 5) (- (/ (pow x.im 4) (pow x.re 4)) 1))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (patch (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 5) (- (/ (pow x.im 4) (pow x.re 4)) 1))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (patch (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 5) (- (/ (pow x.im 4) (pow x.re 4)) 1))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (patch (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 4) (taylor -inf x.re) (#s(alt (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) (taylor -inf x.re) (#s(alt (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) (taylor -inf x.re) (#s(alt (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) (taylor -inf x.re) (#s(alt (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 99.0ms | x.re | @ | 0 | ((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (- x.re x.im) x.re) (- (pow x.re 4) (pow x.im 4))) |
| 6.0ms | x.re | @ | -inf | ((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (- x.re x.im) x.re) (- (pow x.re 4) (pow x.im 4))) |
| 4.0ms | x.re | @ | inf | ((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (- x.re x.im) x.re) (- (pow x.re 4) (pow x.im 4))) |
| 4.0ms | x.im | @ | 0 | ((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (- x.re x.im) x.re) (- (pow x.re 4) (pow x.im 4))) |
| 3.0ms | x.im | @ | inf | ((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (- x.re x.im) x.re) (- (pow x.re 4) (pow x.im 4))) |
| 1× | egg-herbie |
| 11 604× | lower-fma.f64 |
| 11 604× | lower-fma.f32 |
| 3 142× | lower-*.f64 |
| 3 142× | lower-*.f32 |
| 2 682× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 206 | 5624 |
| 1 | 677 | 4442 |
| 2 | 2109 | 4012 |
| 3 | 6875 | 4012 |
| 0 | 8288 | 3910 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x.re 3) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(pow x.re 3) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
x.re |
(+ x.im x.re) |
(+ x.im x.re) |
(+ x.im x.re) |
(pow x.re 3) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.re 3) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(pow x.re 3) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(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)) |
(pow x.re 3) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(pow x.re 3) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(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)) |
(pow x.re 3) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(pow x.re 3) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(pow x.re 5) |
(+ (* -1 (* (pow x.im 4) x.re)) (pow x.re 5)) |
(+ (* -1 (* (pow x.im 4) x.re)) (pow x.re 5)) |
(+ (* -1 (* (pow x.im 4) x.re)) (pow x.re 5)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(pow x.re 2) |
(+ (* -1 (* x.im x.re)) (pow x.re 2)) |
(+ (* -1 (* x.im x.re)) (pow x.re 2)) |
(+ (* -1 (* x.im x.re)) (pow x.re 2)) |
(pow x.re 4) |
(+ (* -1 (pow x.im 4)) (pow x.re 4)) |
(+ (* -1 (pow x.im 4)) (pow x.re 4)) |
(+ (* -1 (pow x.im 4)) (pow x.re 4)) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 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) x.re)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))) |
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) |
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) |
x.im |
(* x.im (+ 1 (/ x.re x.im))) |
(* x.im (+ 1 (/ x.re x.im))) |
(* x.im (+ 1 (/ x.re x.im))) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* -1 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 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)) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* -1 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 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)) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* -1 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* -1 (* (pow x.im 4) x.re)) |
(* (pow x.im 4) (+ (* -1 x.re) (/ (pow x.re 5) (pow x.im 4)))) |
(* (pow x.im 4) (+ (* -1 x.re) (/ (pow x.re 5) (pow x.im 4)))) |
(* (pow x.im 4) (+ (* -1 x.re) (/ (pow x.re 5) (pow x.im 4)))) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* -1 (* x.im x.re)) |
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im))) |
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im))) |
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im))) |
(* -1 (pow x.im 4)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1)) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 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) x.re)) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) |
x.im |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* -1 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 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)) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* -1 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 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)) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* -1 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* -1 (* (pow x.im 4) x.re)) |
(* (pow x.im 4) (+ (* -1 x.re) (/ (pow x.re 5) (pow x.im 4)))) |
(* (pow x.im 4) (+ (* -1 x.re) (/ (pow x.re 5) (pow x.im 4)))) |
(* (pow x.im 4) (+ (* -1 x.re) (/ (pow x.re 5) (pow x.im 4)))) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* -1 (* x.im x.re)) |
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im))))) |
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im))))) |
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im))))) |
(* -1 (pow x.im 4)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1)) |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2)))) |
(* 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) x.re)) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) |
x.im |
(+ x.im x.re) |
(+ x.im x.re) |
(+ x.im x.re) |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* -1 (* (pow x.im 2) x.re)) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 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)) |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* -1 (* (pow x.im 2) x.re)) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 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)) |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* -1 (* (pow x.im 2) x.re)) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(* -1 (* (pow x.im 4) x.re)) |
(* x.re (+ (* -1 (pow x.im 4)) (pow x.re 4))) |
(* x.re (+ (* -1 (pow x.im 4)) (pow x.re 4))) |
(* x.re (+ (* -1 (pow x.im 4)) (pow x.re 4))) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* -1 (* x.im x.re)) |
(* x.re (+ x.re (* -1 x.im))) |
(* x.re (+ x.re (* -1 x.im))) |
(* x.re (+ x.re (* -1 x.im))) |
(* -1 (pow x.im 4)) |
(- (pow x.re 4) (pow x.im 4)) |
(- (pow x.re 4) (pow x.im 4)) |
(- (pow x.re 4) (pow x.im 4)) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2))))) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) |
x.re |
(* x.re (+ 1 (/ x.im x.re))) |
(* x.re (+ 1 (/ x.im x.re))) |
(* x.re (+ 1 (/ x.im x.re))) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 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 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 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 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 5) |
(* (pow x.re 5) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) |
(* (pow x.re 5) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) |
(* (pow x.re 5) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) |
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) |
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) |
(pow x.re 4) |
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) |
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) |
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
x.re |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(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 3) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(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 3) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(pow x.re 5) |
(* -1 (* (pow x.re 5) (- (/ (pow x.im 4) (pow x.re 4)) 1))) |
(* -1 (* (pow x.re 5) (- (/ (pow x.im 4) (pow x.re 4)) 1))) |
(* -1 (* (pow x.re 5) (- (/ (pow x.im 4) (pow x.re 4)) 1))) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) |
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) |
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) |
(pow x.re 4) |
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) |
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) |
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) |
| Outputs |
|---|
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(fma.f64 (*.f64 (neg.f64 x.re) x.im) x.im (pow.f64 x.re #s(literal 3 binary64))) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(fma.f64 (*.f64 (neg.f64 x.re) x.im) x.im (pow.f64 x.re #s(literal 3 binary64))) |
x.re |
(+ x.im x.re) |
(+.f64 x.im x.re) |
(+ x.im x.re) |
(+.f64 x.im x.re) |
(+ x.im x.re) |
(+.f64 x.im x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(pow x.im 2) |
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(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (*.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (*.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
x.re |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x.im) x.re)) x.re) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x.im) x.re)) x.re) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x.im) x.re)) x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (*.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (*.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (*.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (*.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (*.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (*.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(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 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (*.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (*.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (*.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(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 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (*.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (*.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (*.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(pow x.re 5) |
(pow.f64 x.re #s(literal 5 binary64)) |
(* -1 (* (pow x.re 5) (- (/ (pow x.im 4) (pow x.re 4)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 5 binary64))) |
(* -1 (* (pow x.re 5) (- (/ (pow x.im 4) (pow x.re 4)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 5 binary64))) |
(* -1 (* (pow x.re 5) (- (/ (pow x.im 4) (pow x.re 4)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 5 binary64))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re) x.re) |
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re) x.re) |
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re) x.re) |
(pow x.re 4) |
(pow.f64 x.re #s(literal 4 binary64)) |
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 4 binary64))) |
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 4 binary64))) |
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 4 binary64))) |
| 5 006× | lower-fma.f32 |
| 5 004× | lower-fma.f64 |
| 4 846× | lower-/.f32 |
| 4 844× | lower-/.f64 |
| 4 080× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 249 |
| 0 | 66 | 235 |
| 1 | 256 | 207 |
| 2 | 1727 | 207 |
| 0 | 8252 | 202 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) |
(+.f64 x.im x.re) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
(*.f64 (*.f64 x.im x.im) x.re) |
(*.f64 x.im x.im) |
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) |
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) |
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) |
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) |
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) |
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
(*.f64 (-.f64 x.re x.im) x.re) |
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
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(*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (fma.f64 (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (*.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 12 binary64)) (pow.f64 x.re #s(literal 12 binary64))) (+.f64 (pow.f64 x.im #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 8 binary64)))) (*.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))) (pow.f64 x.im #s(literal 12 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64)))) (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))) (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))))) (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) |
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64))) |
(fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))) |
(fma.f64 (*.f64 x.im x.im) (*.f64 (neg.f64 x.im) x.im) (pow.f64 x.re #s(literal 4 binary64))) |
(fma.f64 x.re (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))) |
(-.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))))) |
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) |
(+.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) |
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))) |
Compiled 57 386 to 2 757 computations (95.2% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 835 | 16 | 1 851 |
| Fresh | 4 | 0 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 843 | 17 | 1 860 |
| Status | Accuracy | Program |
|---|---|---|
| 79.9% | (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| 16.2% | (-.f64 (/.f64 (*.f64 #s(approx (- (pow x.re 4) (pow x.im 4)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| 42.5% | (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) #s(literal -1 binary64))) x.im)) | |
| 91.9% | (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) | |
| ▶ | 91.9% | (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 89.4% | (-.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.re) (*.f64 (fma.f64 (/.f64 x.re x.im) x.re (neg.f64 x.re)) x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| 57.7% | (-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (neg.f64 (*.f64 x.re x.im)) (neg.f64 (*.f64 x.re x.im))) x.im)) | |
| 91.6% | (-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| ▶ | 58.2% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) |
| 91.1% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) | |
| ▶ | 73.6% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))) |
| ▶ | 48.9% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)) |
| 48.9% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) | |
| 52.5% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))) | |
| 52.5% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) | |
| ▶ | 52.4% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
| ✓ | 48.8% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
Compiled 546 to 351 computations (35.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x.re #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) | |
| cost-diff | 0 | (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) | |
| cost-diff | 0 | (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)) | |
| cost-diff | 0 | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))) | |
| cost-diff | 0 | (*.f64 x.im x.im) | |
| cost-diff | 0 | (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) | |
| cost-diff | 0 | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)) | |
| cost-diff | 0 | (*.f64 x.re x.im) | |
| cost-diff | 0 | (*.f64 (*.f64 x.re x.im) x.im) | |
| cost-diff | 0 | (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im)) | |
| cost-diff | 0 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) | |
| cost-diff | 832 | (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| cost-diff | 1088 | (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re)) | |
| cost-diff | 1088 | (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) | |
| cost-diff | 6848 | (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) |
| 12 622× | lower-fma.f32 |
| 12 620× | lower-fma.f64 |
| 3 790× | lower-*.f32 |
| 3 766× | lower-*.f64 |
| 1 838× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 387 |
| 0 | 82 | 367 |
| 1 | 163 | 341 |
| 2 | 359 | 333 |
| 3 | 981 | 291 |
| 4 | 4237 | 273 |
| 0 | 8573 | 265 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) |
(+.f64 x.im x.re) |
x.im |
x.re |
(*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) |
(/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) |
(+.f64 x.re x.im) |
(/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re)) |
(-.f64 x.re x.im) |
(-.f64 x.im x.re) |
(/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) |
(pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im)) |
#s(literal -3 binary64) |
(*.f64 (*.f64 x.re x.im) x.im) |
(*.f64 x.re x.im) |
x.re |
x.im |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
#s(literal -3 binary64) |
(*.f64 x.im x.im) |
x.im |
x.re |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))) |
(*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)) |
(*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) |
x.re |
(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) |
(/.f64 (/.f64 x.re x.im) x.im) |
(/.f64 x.re x.im) |
x.im |
#s(literal -3 binary64) |
(*.f64 x.im x.im) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) |
(pow.f64 x.re #s(literal 3 binary64)) |
x.re |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) |
(*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) |
(*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) |
(+.f64 x.im x.re) |
(+.f64 x.re x.im) |
x.im |
x.re |
(*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) |
(*.f64 (-.f64 x.re x.im) x.re) |
(*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) |
#s(literal -1 binary64) |
(/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) |
#s(literal 1 binary64) |
(+.f64 x.re x.im) |
(/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re)) |
#s(literal -1 binary64) |
(-.f64 x.re x.im) |
(-.f64 x.im x.re) |
(/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) |
(*.f64 (-.f64 x.im x.re) x.re) |
(pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.im) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(*.f64 x.re x.im) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) |
#s(literal -3 binary64) |
(*.f64 (*.f64 x.re x.im) x.im) |
(*.f64 x.re x.im) |
x.re |
x.im |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(*.f64 x.im x.im) |
x.im |
x.re |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) x.im) (*.f64 x.re x.im))) |
(*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) x.im) (*.f64 x.re x.im)) |
(*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) x.re) |
x.re |
(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) |
(/.f64 (/.f64 x.re x.im) x.im) |
(/.f64 x.re x.im) |
x.im |
#s(literal -3 binary64) |
(*.f64 x.im x.im) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) |
(pow.f64 x.re #s(literal 3 binary64)) |
x.re |
#s(literal 3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 x.re #s(literal 3 binary64)) | |
| accuracy | 26.750969533096825 | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) | |
| accuracy | 0.1484375 | (/.f64 (/.f64 x.re x.im) x.im) | |
| accuracy | 0.579783018333661 | (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) | |
| accuracy | 1.9357601242388212 | (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) | |
| accuracy | 13.775802896501382 | (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)) | |
| accuracy | 0 | (*.f64 x.im x.im) | |
| accuracy | 0.15234375 | (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) | |
| accuracy | 6.620519631124059 | (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) | |
| accuracy | 30.315111154756256 | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)) | |
| accuracy | 0 | (*.f64 x.re x.im) | |
| accuracy | 0.140625 | (*.f64 (*.f64 x.re x.im) x.im) | |
| accuracy | 0.14453125 | (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im)) | |
| accuracy | 30.315111154756256 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) | |
| accuracy | 0.10546875 | (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) | |
| accuracy | 0.140625 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) | |
| accuracy | 0.17578125 | (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) | |
| accuracy | 4.078125000000001 | (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 91.0ms | 235× | 0 | valid |
| 6.0ms | 6× | 4 | valid |
| 5.0ms | 5× | 3 | valid |
| 4.0ms | 7× | 1 | valid |
| 2.0ms | 3× | 2 | valid |
Compiled 357 to 47 computations (86.8% saved)
ival-mult: 28.0ms (32.3% of total)ival-pow: 25.0ms (28.9% of total)ival-sub: 12.0ms (13.9% of total)ival-div: 9.0ms (10.4% of total)ival-add: 6.0ms (6.9% of total)adjust: 5.0ms (5.8% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) (patch (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (patch (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re)) (patch (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) (patch #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im)) (patch (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x.re x.im) x.im) (patch (*.f64 (*.f64 x.re x.im) x.im) #<representation binary64>) () ()) |
#s(alt (*.f64 x.re x.im) (patch (*.f64 x.re x.im) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) (patch (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (patch (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) #<representation binary64>) () ()) |
#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)) (patch (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)) #<representation binary64>) () ()) |
#s(alt (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (patch (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (patch (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x.re #s(literal 3 binary64)) (patch (pow.f64 x.re #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 x.re x.im) x.im) (patch (/.f64 (/.f64 x.re x.im) x.im) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (pow x.re 2)) (taylor 0 x.im) (#s(alt (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) (patch (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow x.re 2)) (* x.im x.re)) (taylor 0 x.im) (#s(alt (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) (patch (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow x.re 2)) (* x.im x.re)) (taylor 0 x.im) (#s(alt (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) (patch (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow x.re 2)) (* x.im x.re)) (taylor 0 x.im) (#s(alt (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) (patch (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x.im) (#s(alt (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (patch (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x.im) (#s(alt (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (patch (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x.im) (#s(alt (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (patch (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x.im) (#s(alt (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (patch (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2))))) (taylor -inf x.re) (#s(alt (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (patch (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2))))) (taylor -inf x.re) (#s(alt (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (patch (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (pow.f64 x.re #s(literal 3 binary64)) (patch (pow.f64 x.re #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (pow.f64 x.re #s(literal 3 binary64)) (patch (pow.f64 x.re #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (pow.f64 x.re #s(literal 3 binary64)) (patch (pow.f64 x.re #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (pow.f64 x.re #s(literal 3 binary64)) (patch (pow.f64 x.re #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ x.re (pow x.im 2)) (taylor -inf x.re) (#s(alt (/.f64 (/.f64 x.re x.im) x.im) (patch (/.f64 (/.f64 x.re x.im) x.im) #<representation binary64>) () ())) ()) |
#s(alt (/ x.re (pow x.im 2)) (taylor -inf x.re) (#s(alt (/.f64 (/.f64 x.re x.im) x.im) (patch (/.f64 (/.f64 x.re x.im) x.im) #<representation binary64>) () ())) ()) |
#s(alt (/ x.re (pow x.im 2)) (taylor -inf x.re) (#s(alt (/.f64 (/.f64 x.re x.im) x.im) (patch (/.f64 (/.f64 x.re x.im) x.im) #<representation binary64>) () ())) ()) |
#s(alt (/ x.re (pow x.im 2)) (taylor -inf x.re) (#s(alt (/.f64 (/.f64 x.re x.im) x.im) (patch (/.f64 (/.f64 x.re x.im) x.im) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x.re | @ | 0 | ((/ x.re (pow (- x.im x.re) -1)) (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re)) (- (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.re (pow (- x.im x.re) -1)))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* x.re x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.re (pow (- x.im x.re) -1)))) (/ (/ x.re x.im) x.im)) |
| 5.0ms | x.re | @ | -inf | ((/ x.re (pow (- x.im x.re) -1)) (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re)) (- (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.re (pow (- x.im x.re) -1)))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* x.re x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.re (pow (- x.im x.re) -1)))) (/ (/ x.re x.im) x.im)) |
| 4.0ms | x.re | @ | inf | ((/ x.re (pow (- x.im x.re) -1)) (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re)) (- (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.re (pow (- x.im x.re) -1)))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* x.re x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.re (pow (- x.im x.re) -1)))) (/ (/ x.re x.im) x.im)) |
| 4.0ms | x.im | @ | inf | ((/ x.re (pow (- x.im x.re) -1)) (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re)) (- (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.re (pow (- x.im x.re) -1)))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* x.re x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.re (pow (- x.im x.re) -1)))) (/ (/ x.re x.im) x.im)) |
| 3.0ms | x.im | @ | 0 | ((/ x.re (pow (- x.im x.re) -1)) (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re)) (- (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.re (pow (- x.im x.re) -1)))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* x.re x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.re (pow (- x.im x.re) -1)))) (/ (/ x.re x.im) x.im)) |
| 1× | egg-herbie |
| 10 088× | lower-fma.f64 |
| 10 088× | lower-fma.f32 |
| 2 740× | lower-+.f64 |
| 2 740× | lower-+.f32 |
| 2 656× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 188 | 4769 |
| 1 | 602 | 3917 |
| 2 | 1955 | 3451 |
| 3 | 6738 | 3451 |
| 0 | 8096 | 3325 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (pow x.re 2)) |
(+ (* -1 (pow x.re 2)) (* x.im x.re)) |
(+ (* -1 (pow x.re 2)) (* x.im x.re)) |
(+ (* -1 (pow x.re 2)) (* x.im x.re)) |
1 |
1 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
(pow x.re 3) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(pow x.re 3) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(pow x.re 3) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.re 3) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(pow x.re 3) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(/ (pow x.re 3) (pow x.im 2)) |
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2)) |
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2)) |
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2)) |
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2)) |
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2)) |
(pow x.re 3) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(pow x.re 3) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(/ x.re (pow x.im 2)) |
(/ x.re (pow x.im 2)) |
(/ x.re (pow x.im 2)) |
(/ x.re (pow x.im 2)) |
(* x.im x.re) |
(* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))) |
(* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))) |
(* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))) |
1 |
1 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re))) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -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) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* -3 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* -3 x.re) |
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))) |
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))) |
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))) |
-3 |
(- (/ (pow x.re 2) (pow x.im 2)) 3) |
(- (/ (pow x.re 2) (pow x.im 2)) 3) |
(- (/ (pow x.re 2) (pow x.im 2)) 3) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* -1 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))) |
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) |
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) |
(/ x.re (pow x.im 2)) |
(/ x.re (pow x.im 2)) |
(/ x.re (pow x.im 2)) |
(/ x.re (pow x.im 2)) |
(* x.im x.re) |
(* -1 (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))) |
(* -1 (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))) |
(* -1 (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))) |
1 |
1 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re))) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -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) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* -3 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* -3 x.re) |
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))) |
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))) |
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))) |
-3 |
(- (/ (pow x.re 2) (pow x.im 2)) 3) |
(- (/ (pow x.re 2) (pow x.im 2)) 3) |
(- (/ (pow x.re 2) (pow x.im 2)) 3) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* -1 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) |
(/ x.re (pow x.im 2)) |
(/ x.re (pow x.im 2)) |
(/ x.re (pow x.im 2)) |
(/ x.re (pow x.im 2)) |
(* x.im x.re) |
(* x.re (+ x.im (* -1 x.re))) |
(* x.re (+ x.im (* -1 x.re))) |
(* x.re (+ x.im (* -1 x.re))) |
1 |
1 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2)))) |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* -3 (* (pow x.im 2) x.re)) |
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2))) |
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2))) |
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2))) |
(* -3 x.re) |
(* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3)) |
(* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3)) |
(* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3)) |
-3 |
(- (/ (pow x.re 2) (pow x.im 2)) 3) |
(- (/ (pow x.re 2) (pow x.im 2)) 3) |
(- (/ (pow x.re 2) (pow x.im 2)) 3) |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* -1 (* (pow x.im 2) x.re)) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) |
(/ x.re (pow x.im 2)) |
(/ x.re (pow x.im 2)) |
(/ x.re (pow x.im 2)) |
(/ x.re (pow x.im 2)) |
(* -1 (pow x.re 2)) |
(* (pow x.re 2) (- (/ x.im x.re) 1)) |
(* (pow x.re 2) (- (/ x.im x.re) 1)) |
(* (pow x.re 2) (- (/ x.im x.re) 1)) |
1 |
1 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(/ (pow x.re 3) (pow x.im 2)) |
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2))))) |
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2))))) |
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2))))) |
(/ (pow x.re 2) (pow x.im 2)) |
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2))))) |
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2))))) |
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2))))) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) |
(/ x.re (pow x.im 2)) |
(/ x.re (pow x.im 2)) |
(/ x.re (pow x.im 2)) |
(/ x.re (pow x.im 2)) |
(* -1 (pow x.re 2)) |
(* (pow x.re 2) (- (/ x.im x.re) 1)) |
(* (pow x.re 2) (- (/ x.im x.re) 1)) |
(* (pow x.re 2) (- (/ x.im x.re) 1)) |
1 |
1 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* (pow x.im 2) x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(/ (pow x.re 3) (pow x.im 2)) |
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2))))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2))))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2))))) |
(/ (pow x.re 2) (pow x.im 2)) |
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2))))) |
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2))))) |
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2))))) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
(/ x.re (pow x.im 2)) |
(/ x.re (pow x.im 2)) |
(/ x.re (pow x.im 2)) |
(/ x.re (pow x.im 2)) |
| Outputs |
|---|
(* -1 (pow x.re 2)) |
(*.f64 (neg.f64 x.re) x.re) |
(+ (* -1 (pow x.re 2)) (* x.im x.re)) |
(*.f64 (-.f64 x.im x.re) x.re) |
(+ (* -1 (pow x.re 2)) (* x.im x.re)) |
(*.f64 (-.f64 x.im x.re) x.re) |
(+ (* -1 (pow x.re 2)) (* x.im x.re)) |
(*.f64 (-.f64 x.im x.re) x.re) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (pow x.im 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
(* -3 (pow x.im 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
(* -3 (pow x.im 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
(* -3 (pow x.im 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(/ (pow x.re 3) (pow x.im 2)) |
(/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) |
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2)) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.im) (/.f64 x.re x.im)) |
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2)) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.im) (/.f64 x.re x.im)) |
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2)) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.im) (/.f64 x.re x.im)) |
(/ (pow x.re 2) (pow x.im 2)) |
(*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) |
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.im) x.im) |
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.im) x.im) |
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.im) x.im) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re) |
(/ x.re (pow x.im 2)) |
(/.f64 x.re (*.f64 x.im x.im)) |
(/ x.re (pow x.im 2)) |
(/.f64 x.re (*.f64 x.im x.im)) |
(/ x.re (pow x.im 2)) |
(/.f64 x.re (*.f64 x.im x.im)) |
(/ x.re (pow x.im 2)) |
(/.f64 x.re (*.f64 x.im x.im)) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))) |
(*.f64 (fma.f64 (neg.f64 x.re) (/.f64 x.re x.im) x.re) x.im) |
(* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))) |
(*.f64 (fma.f64 (neg.f64 x.re) (/.f64 x.re x.im) x.re) x.im) |
(* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))) |
(*.f64 (fma.f64 (neg.f64 x.re) (/.f64 x.re x.im) x.re) x.im) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re))) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) x.re) (*.f64 x.im x.im)) |
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) x.re) (*.f64 x.im x.im)) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) x.re) (*.f64 x.im x.im)) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) x.re) (*.f64 x.im x.im)) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) x.re) (*.f64 x.im x.im)) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) x.re) (*.f64 x.im x.im)) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) x.re) (*.f64 x.im x.im)) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) x.re) (*.f64 x.im x.im)) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (pow x.im 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
(* -3 (pow x.im 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
(* -3 (pow x.im 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
(* -3 (pow x.im 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) x.re) (*.f64 x.im x.im)) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) x.re) (*.f64 x.im x.im)) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) x.re) (*.f64 x.im x.im)) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
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(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(/ (pow x.re 3) (pow x.im 2)) |
(/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) |
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))) (pow.f64 x.re #s(literal 3 binary64))) |
(/ (pow x.re 2) (pow x.im 2)) |
(*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) |
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))) (*.f64 x.re x.re)) |
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))) (*.f64 x.re x.re)) |
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))) (*.f64 x.re x.re)) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(/ x.re (pow x.im 2)) |
(/.f64 x.re (*.f64 x.im x.im)) |
(/ x.re (pow x.im 2)) |
(/.f64 x.re (*.f64 x.im x.im)) |
(/ x.re (pow x.im 2)) |
(/.f64 x.re (*.f64 x.im x.im)) |
(/ x.re (pow x.im 2)) |
(/.f64 x.re (*.f64 x.im x.im)) |
| 4 592× | lower-/.f32 |
| 4 584× | lower-/.f64 |
| 3 844× | lower-*.f32 |
| 3 818× | lower-*.f64 |
| 2 614× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 299 |
| 0 | 82 | 273 |
| 1 | 351 | 223 |
| 2 | 2723 | 207 |
| 0 | 8458 | 202 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) |
(/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) |
(/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re)) |
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im)) |
(*.f64 (*.f64 x.re x.im) x.im) |
(*.f64 x.re x.im) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
(*.f64 x.im x.im) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))) |
(*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)) |
(*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) |
(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) |
(pow.f64 x.re #s(literal 3 binary64)) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
(*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) |
(/.f64 (/.f64 x.re x.im) x.im) |
| Outputs |
|---|
(*.f64 (/.f64 x.re #s(literal 1 binary64)) (-.f64 x.im x.re)) |
(*.f64 (pow.f64 (-.f64 x.im x.re) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1/2 binary64)) x.re) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x.re) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x.im x.re) x.re)) |
(*.f64 (-.f64 x.im x.re) (pow.f64 (pow.f64 x.re #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 x.im x.re) x.re) |
(*.f64 x.re (-.f64 x.im x.re)) |
(pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x.im x.re) x.re) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 x.im x.re) x.re) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x.re))) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))))) |
(/.f64 (neg.f64 (*.f64 x.re #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))) |
(/.f64 (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1/2 binary64))) (pow.f64 (-.f64 x.im x.re) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) |
(/.f64 (*.f64 x.re #s(literal 1 binary64)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) |
(/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 x.im x.re) x.re) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (-.f64 x.im x.re) x.re) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 x.im x.re) x.re) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x.im x.re) x.re) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (-.f64 x.im x.re) x.re) #s(literal -1 binary64)))) |
(/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 x.re) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 x.re (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))) (/.f64 x.re (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 x.im x.re) x.re) #s(literal -1 binary64))) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (/.f64 (-.f64 x.im x.re) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x.im (+.f64 x.im x.re) (*.f64 x.re x.re)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal -1 binary64)) (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re)) (+.f64 x.im x.re)) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (-.f64 x.im x.re)) |
(*.f64 (/.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re)) (+.f64 x.im x.re)) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re))) |
(*.f64 (/.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re)) (+.f64 x.im x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (-.f64 x.re x.im)) |
(*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (+.f64 x.im x.re)) |
(*.f64 (/.f64 (-.f64 x.re x.im) (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.im (+.f64 x.im x.re) (*.f64 x.re x.re))) |
(*.f64 (*.f64 (-.f64 x.re x.im) (pow.f64 (-.f64 x.im x.re) #s(literal -1/2 binary64))) (pow.f64 (-.f64 x.im x.re) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re)) (+.f64 x.im x.re)) (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64))) |
(*.f64 (neg.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) (-.f64 x.im x.re))) |
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (pow.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re)) #s(literal 1 binary64)) |
(*.f64 (-.f64 x.re x.im) (*.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 x.re x.im) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) |
(*.f64 (+.f64 x.im x.re) (/.f64 (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re)) (+.f64 x.im x.re))) |
(*.f64 (+.f64 x.im x.re) (/.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)))) |
(*.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) (-.f64 x.re x.im)) |
(pow.f64 (/.f64 (/.f64 (-.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(pow.f64 (/.f64 (-.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 x.re x.im))) (neg.f64 (neg.f64 (-.f64 x.im x.re)))) |
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(/.f64 (neg.f64 (-.f64 x.re x.im)) (neg.f64 (-.f64 x.im x.re))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 x.im x.re) (-.f64 x.re x.im))))) |
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(/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x.im x.re) (-.f64 x.re x.im)))) |
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(-.f64 (/.f64 x.re (-.f64 x.im x.re)) (/.f64 x.im (-.f64 x.im x.re))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x.im x.re) (-.f64 x.re x.im))) #s(literal -1 binary64))) |
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(fma.f64 x.re (/.f64 (*.f64 (-.f64 x.re x.im) x.re) #s(literal 1 binary64)) (*.f64 x.im (/.f64 (*.f64 (-.f64 x.re x.im) x.re) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x.im (/.f64 (*.f64 (-.f64 x.re x.im) x.re) #s(literal 1 binary64))) (*.f64 x.re (/.f64 (*.f64 (-.f64 x.re x.im) x.re) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x.re (/.f64 (*.f64 (-.f64 x.re x.im) x.re) #s(literal 1 binary64))) (*.f64 x.im (/.f64 (*.f64 (-.f64 x.re x.im) x.re) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 (-.f64 x.re x.im) x.re) #s(literal 1 binary64)) x.im) (*.f64 (/.f64 (*.f64 (-.f64 x.re x.im) x.re) #s(literal 1 binary64)) x.re)) |
(+.f64 (*.f64 (/.f64 (*.f64 (-.f64 x.re x.im) x.re) #s(literal 1 binary64)) x.re) (*.f64 (/.f64 (*.f64 (-.f64 x.re x.im) x.re) #s(literal 1 binary64)) x.im)) |
(*.f64 (pow.f64 (/.f64 x.im (neg.f64 x.re)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x.im) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x.im #s(literal -1 binary64)) (/.f64 x.re x.im)) |
(*.f64 (/.f64 (neg.f64 x.re) x.im) (pow.f64 (neg.f64 x.im) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x.re x.im) x.im)) |
(*.f64 (/.f64 x.re x.im) (pow.f64 x.im #s(literal -1 binary64))) |
(*.f64 x.re (/.f64 (pow.f64 x.im #s(literal -1 binary64)) x.im)) |
(*.f64 x.re (pow.f64 x.im #s(literal -2 binary64))) |
(pow.f64 (/.f64 (/.f64 x.im (/.f64 x.re x.im)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x.im (/.f64 x.re x.im)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x.re x.im) #s(literal 1 binary64))) (neg.f64 x.im)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x.re) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x.im) x.im))) |
(/.f64 (neg.f64 (*.f64 x.re #s(literal 1 binary64))) (*.f64 (neg.f64 x.im) x.im)) |
(/.f64 (*.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) |
(/.f64 (neg.f64 (pow.f64 x.im #s(literal -1 binary64))) (neg.f64 (/.f64 x.im x.re))) |
(/.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (*.f64 (neg.f64 x.im) x.im))) |
(/.f64 (*.f64 (neg.f64 x.re) #s(literal 1 binary64)) (*.f64 (neg.f64 x.im) x.im)) |
(/.f64 (*.f64 x.re #s(literal 1 binary64)) (*.f64 x.im x.im)) |
(/.f64 (pow.f64 x.im #s(literal -1 binary64)) (/.f64 x.im x.re)) |
(/.f64 (neg.f64 x.re) (*.f64 (neg.f64 x.im) x.im)) |
(/.f64 (/.f64 (neg.f64 x.re) x.im) (neg.f64 (neg.f64 (neg.f64 x.im)))) |
(/.f64 (/.f64 (neg.f64 x.re) x.im) (neg.f64 x.im)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x.im (/.f64 x.re x.im))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x.im (/.f64 x.re x.im)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im x.im) x.re)) |
(/.f64 #s(literal 1 binary64) (/.f64 x.im (/.f64 x.re x.im))) |
(/.f64 (/.f64 x.re x.im) (neg.f64 (neg.f64 x.im))) |
(/.f64 (/.f64 x.re x.im) x.im) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x.im (/.f64 x.re x.im)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x.im x.im) x.re))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x.im (/.f64 x.re x.im)))) |
(/.f64 x.re (*.f64 x.im x.im)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x.re) x.im) x.im)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x.im) x.im)) (/.f64 x.re (*.f64 (neg.f64 x.im) x.im))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x.im)) (/.f64 (/.f64 (neg.f64 x.re) x.im) x.im)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x.im (/.f64 x.re x.im))) #s(literal -1 binary64))) |
Compiled 30 476 to 2 423 computations (92% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 092 | 5 | 1 097 |
| Fresh | 6 | 5 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 102 | 12 | 1 114 |
| Status | Accuracy | Program |
|---|---|---|
| 79.9% | (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| ▶ | 91.9% | (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) |
| 89.4% | (-.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.re) (*.f64 (fma.f64 (/.f64 x.re x.im) x.re (neg.f64 x.re)) x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| ▶ | 91.6% | (-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| ✓ | 58.2% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) |
| ▶ | 91.1% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
| 67.8% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) x.re) (*.f64 x.im x.im))) | |
| 52.5% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)) | |
| ▶ | 52.5% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) |
| ▶ | 58.1% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) |
| 52.5% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))) | |
| ✓ | 48.9% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)) |
Compiled 306 to 200 computations (34.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) | |
| cost-diff | 192 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| cost-diff | 448 | (-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| cost-diff | 896 | (fma.f64 (/.f64 x.re x.im) x.im x.im) | |
| cost-diff | 0 | (*.f64 x.im x.im) | |
| cost-diff | 0 | (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) | |
| cost-diff | 0 | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) | |
| cost-diff | 0 | (*.f64 #s(literal -3 binary64) x.im) | |
| cost-diff | 0 | (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) | |
| cost-diff | 0 | (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) | |
| cost-diff | 0 | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) | |
| cost-diff | -5824 | (*.f64 (*.f64 x.re x.re) x.re) | |
| cost-diff | 0 | (*.f64 x.re x.re) | |
| cost-diff | 0 | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) | |
| cost-diff | 0 | (*.f64 (-.f64 x.re x.im) x.re) | |
| cost-diff | 0 | (+.f64 x.im x.re) | |
| cost-diff | 0 | (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) | |
| cost-diff | 832 | (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) |
| 28 774× | lower-fma.f32 |
| 28 770× | lower-fma.f64 |
| 4 602× | lower-*.f32 |
| 4 574× | lower-*.f64 |
| 2 150× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 307 |
| 0 | 70 | 299 |
| 1 | 130 | 295 |
| 2 | 249 | 280 |
| 3 | 605 | 274 |
| 4 | 1656 | 274 |
| 5 | 5241 | 264 |
| 0 | 8322 | 257 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) |
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) |
(+.f64 x.im x.re) |
x.im |
x.re |
(*.f64 (-.f64 x.re x.im) x.re) |
(-.f64 x.re x.im) |
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) |
(*.f64 x.re (+.f64 x.im x.im)) |
(+.f64 x.im x.im) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) |
(*.f64 (*.f64 x.re x.re) x.re) |
(*.f64 x.re x.re) |
x.re |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) |
(*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) |
(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) |
x.re |
(*.f64 #s(literal -3 binary64) x.im) |
#s(literal -3 binary64) |
x.im |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) |
#s(literal -3 binary64) |
(*.f64 x.im x.im) |
x.im |
(*.f64 x.re x.re) |
x.re |
(-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) |
#s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) |
(fma.f64 (/.f64 x.re x.im) x.im x.im) |
(/.f64 x.re x.im) |
x.re |
x.im |
(*.f64 (-.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.im) |
(+.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 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) |
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) |
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) |
(*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) |
(+.f64 x.im x.re) |
(+.f64 x.re x.im) |
x.im |
x.re |
(*.f64 (-.f64 x.re x.im) x.re) |
(-.f64 x.re x.im) |
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.im) |
(*.f64 x.re (+.f64 x.im x.im)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) |
(+.f64 x.im x.im) |
(*.f64 #s(literal 2 binary64) x.im) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) |
(*.f64 (*.f64 x.re x.re) x.re) |
(pow.f64 x.re #s(literal 3 binary64)) |
(*.f64 x.re x.re) |
x.re |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)) |
(*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im) |
(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) |
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) |
x.re |
(*.f64 #s(literal -3 binary64) x.im) |
#s(literal -3 binary64) |
x.im |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) |
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) |
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) |
#s(literal -3 binary64) |
(*.f64 x.im x.im) |
x.im |
(*.f64 x.re x.re) |
x.re |
(-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x.im x.im) (*.f64 #s(approx (+ x.im x.re) (+.f64 x.re x.im)) (-.f64 x.re x.im))) x.re) |
(*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) |
(*.f64 #s(approx (+ x.im x.re) (+.f64 x.re x.im)) (*.f64 (-.f64 x.re x.im) x.re)) |
#s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) |
#s(approx (+ x.im x.re) (+.f64 x.re x.im)) |
(fma.f64 (/.f64 x.re x.im) x.im x.im) |
(+.f64 x.re x.im) |
(/.f64 x.re x.im) |
x.re |
x.im |
(*.f64 (-.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.im) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.im) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(*.f64 x.re x.im) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10546875 | (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) | |
| accuracy | 0.140625 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) | |
| accuracy | 4.078125000000001 | (-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| accuracy | 7.288618176840977 | (fma.f64 (/.f64 x.re x.im) x.im x.im) | |
| accuracy | 0 | (*.f64 x.im x.im) | |
| accuracy | 0 | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) | |
| accuracy | 2.467810436235522 | (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) | |
| accuracy | 3.011704300811441 | (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) | |
| accuracy | 0 | (*.f64 #s(literal -3 binary64) x.im) | |
| accuracy | 0.16015625 | (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) | |
| accuracy | 0.7227449305176828 | (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) | |
| accuracy | 30.315111154756256 | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) | |
| accuracy | 0 | (*.f64 x.re x.re) | |
| accuracy | 0.1015625 | (*.f64 (*.f64 x.re x.re) x.re) | |
| accuracy | 26.750969533096825 | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) | |
| accuracy | 0.10546875 | (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) | |
| accuracy | 0.140625 | (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) | |
| accuracy | 0.2421277508187238 | (*.f64 x.re (+.f64 x.im x.im)) | |
| accuracy | 4.078125000000001 | (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) |
| 205.0ms | 256× | 0 | valid |
Compiled 266 to 38 computations (85.7% saved)
ival-sub: 94.0ms (60.3% of total)ival-mult: 46.0ms (29.5% of total)ival-add: 6.0ms (3.8% of total)ival-pow: 5.0ms (3.2% of total)ival-div: 3.0ms (1.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ()) |
#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #<representation binary64>) () ()) |
#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x.re x.re) x.re) (patch (*.f64 (*.f64 x.re x.re) x.re) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) (patch (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) #<representation binary64>) () ()) |
#s(alt (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) (patch (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -3 binary64) x.im) (patch (*.f64 #s(literal -3 binary64) x.im) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) (patch (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) (patch (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) #<representation binary64>) () ()) |
#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x.re x.im) x.im x.im) (patch (fma.f64 (/.f64 x.re x.im) x.im x.im) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ()) |
#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt x.re (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x.im x.re)) (pow x.re 2)) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x.im x.re)) (pow x.re 2)) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x.im x.re)) (pow x.re 2)) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) (patch (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) (patch (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) (patch (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) (patch (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) (patch (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) (patch (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) (patch (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) (patch (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 x.im) (taylor 0 x.im) (#s(alt (*.f64 #s(literal -3 binary64) x.im) (patch (*.f64 #s(literal -3 binary64) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 x.im) (taylor 0 x.im) (#s(alt (*.f64 #s(literal -3 binary64) x.im) (patch (*.f64 #s(literal -3 binary64) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 x.im) (taylor 0 x.im) (#s(alt (*.f64 #s(literal -3 binary64) x.im) (patch (*.f64 #s(literal -3 binary64) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 x.im) (taylor 0 x.im) (#s(alt (*.f64 #s(literal -3 binary64) x.im) (patch (*.f64 #s(literal -3 binary64) x.im) #<representation binary64>) () ())) ()) |
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#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (fma.f64 (/.f64 x.re x.im) x.im x.im) (patch (fma.f64 (/.f64 x.re x.im) x.im x.im) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) (taylor inf x.im) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt x.im (taylor inf x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
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#s(alt (* x.im (+ 1 (/ x.re x.im))) (taylor inf x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.im (+ 1 (/ x.re x.im))) (taylor inf x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x.im x.re)) (taylor inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im))) (taylor inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im))) (taylor inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im))) (taylor inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
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#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) (patch (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) #<representation binary64>) () ())) ()) |
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#s(alt (* -3 x.im) (taylor inf x.im) (#s(alt (*.f64 #s(literal -3 binary64) x.im) (patch (*.f64 #s(literal -3 binary64) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 x.im) (taylor inf x.im) (#s(alt (*.f64 #s(literal -3 binary64) x.im) (patch (*.f64 #s(literal -3 binary64) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 x.im) (taylor inf x.im) (#s(alt (*.f64 #s(literal -3 binary64) x.im) (patch (*.f64 #s(literal -3 binary64) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (taylor inf x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor inf x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor inf x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor inf x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (taylor inf x.im) (#s(alt (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) (taylor inf x.im) (#s(alt (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) (taylor inf x.im) (#s(alt (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt x.im (taylor -inf x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) (taylor -inf x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) (taylor -inf x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) (taylor -inf x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x.im x.re)) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im))))) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im))))) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im))))) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (taylor -inf x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (taylor -inf x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) (patch (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) (patch (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) (patch (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) (patch (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x.im x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) (patch (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x.im x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) (patch (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x.im x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) (patch (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x.im x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) (patch (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 x.im) (taylor -inf x.im) (#s(alt (*.f64 #s(literal -3 binary64) x.im) (patch (*.f64 #s(literal -3 binary64) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 x.im) (taylor -inf x.im) (#s(alt (*.f64 #s(literal -3 binary64) x.im) (patch (*.f64 #s(literal -3 binary64) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 x.im) (taylor -inf x.im) (#s(alt (*.f64 #s(literal -3 binary64) x.im) (patch (*.f64 #s(literal -3 binary64) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 x.im) (taylor -inf x.im) (#s(alt (*.f64 #s(literal -3 binary64) x.im) (patch (*.f64 #s(literal -3 binary64) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (taylor -inf x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
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#s(alt (* x.re (+ x.re (* -1 x.im))) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ x.re (* -1 x.im))) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ()) |
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#s(alt x.re (taylor inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) (taylor inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) (taylor inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) (taylor inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (*.f64 (*.f64 x.re x.re) x.re) (patch (*.f64 (*.f64 x.re x.re) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (*.f64 (*.f64 x.re x.re) x.re) (patch (*.f64 (*.f64 x.re x.re) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (*.f64 (*.f64 x.re x.re) x.re) (patch (*.f64 (*.f64 x.re x.re) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (*.f64 (*.f64 x.re x.re) x.re) (patch (*.f64 (*.f64 x.re x.re) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) (patch (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) (patch (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) (patch (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) (patch (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x.im x.re)) (taylor inf x.re) (#s(alt (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) (patch (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x.im x.re)) (taylor inf x.re) (#s(alt (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) (patch (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x.im x.re)) (taylor inf x.re) (#s(alt (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) (patch (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x.im x.re)) (taylor inf x.re) (#s(alt (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) (patch (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) (patch (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) (patch (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) (patch (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) (patch (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) (patch (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) (patch (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) (patch (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) (patch (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) #<representation binary64>) () ())) ()) |
#s(alt x.re (taylor inf x.re) (#s(alt (fma.f64 (/.f64 x.re x.im) x.im x.im) (patch (fma.f64 (/.f64 x.re x.im) x.im x.im) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (fma.f64 (/.f64 x.re x.im) x.im x.im) (patch (fma.f64 (/.f64 x.re x.im) x.im x.im) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (fma.f64 (/.f64 x.re x.im) x.im x.im) (patch (fma.f64 (/.f64 x.re x.im) x.im x.im) #<representation binary64>) () ())) ()) |
#s(alt (* x.re (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (fma.f64 (/.f64 x.re x.im) x.im x.im) (patch (fma.f64 (/.f64 x.re x.im) x.im x.im) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) (taylor inf x.re) (#s(alt (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) (taylor inf x.re) (#s(alt (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) (taylor inf x.re) (#s(alt (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ()) |
#s(alt x.re (taylor -inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) (taylor -inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) (taylor -inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) (taylor -inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.re) (patch (*.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) (patch #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 x.re x.re) x.re) (patch (*.f64 (*.f64 x.re x.re) x.re) #<representation binary64>) () ())) ()) |
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 x.re x.re) x.re) (patch (*.f64 (*.f64 x.re x.re) x.re) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x.re | @ | -inf | ((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* x.re x.re) x.re) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (* -3 x.im)) x.im) (* x.re (* -3 x.im)) (* -3 x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (+ (* (/ x.re x.im) x.im) x.im) (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* x.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
| 3.0ms | x.im | @ | -inf | ((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* x.re x.re) x.re) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (* -3 x.im)) x.im) (* x.re (* -3 x.im)) (* -3 x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (+ (* (/ x.re x.im) x.im) x.im) (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* x.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
| 3.0ms | x.re | @ | inf | ((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* x.re x.re) x.re) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (* -3 x.im)) x.im) (* x.re (* -3 x.im)) (* -3 x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (+ (* (/ x.re x.im) x.im) x.im) (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* x.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
| 3.0ms | x.im | @ | inf | ((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* x.re x.re) x.re) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (* -3 x.im)) x.im) (* x.re (* -3 x.im)) (* -3 x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (+ (* (/ x.re x.im) x.im) x.im) (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* x.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
| 3.0ms | x.re | @ | 0 | ((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* x.re x.re) x.re) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (* -3 x.im)) x.im) (* x.re (* -3 x.im)) (* -3 x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (+ (* (/ x.re x.im) x.im) x.im) (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* x.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
| 1× | egg-herbie |
| 11 234× | lower-fma.f64 |
| 11 234× | lower-fma.f32 |
| 2 944× | lower-*.f64 |
| 2 944× | lower-*.f32 |
| 2 652× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 4939 |
| 1 | 628 | 4057 |
| 2 | 1952 | 3581 |
| 3 | 6725 | 3581 |
| 0 | 8071 | 3455 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x.re 3) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(pow x.re 3) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
x.re |
(+ x.im x.re) |
(+ x.im x.re) |
(+ x.im x.re) |
(pow x.re 2) |
(+ (* -1 (* x.im x.re)) (pow x.re 2)) |
(+ (* -1 (* x.im x.re)) (pow x.re 2)) |
(+ (* -1 (* x.im x.re)) (pow x.re 2)) |
(pow x.re 3) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(pow x.re 3) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) 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) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(pow x.re 3) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(pow x.re 3) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(pow x.re 2) |
(+ (* -3 (pow x.im 2)) (pow x.re 2)) |
(+ (* -3 (pow x.im 2)) (pow x.re 2)) |
(+ (* -3 (pow x.im 2)) (pow x.re 2)) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
x.re |
(+ x.im x.re) |
(+ x.im x.re) |
(+ x.im x.re) |
(pow x.re 3) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(pow x.re 3) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re))) |
(* -1 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))) |
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) |
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) |
x.im |
(* x.im (+ 1 (/ x.re x.im))) |
(* x.im (+ 1 (/ x.re x.im))) |
(* x.im (+ 1 (/ x.re x.im))) |
(* -1 (* x.im x.re)) |
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im))) |
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im))) |
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im))) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) 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) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* -3 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* -3 (pow x.im 2)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3)) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
x.im |
(* x.im (+ 1 (/ x.re x.im))) |
(* x.im (+ 1 (/ x.re x.im))) |
(* x.im (+ 1 (/ x.re x.im))) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 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) x.re)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))) |
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) |
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re))) |
(* -1 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) |
x.im |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(* -1 (* x.im x.re)) |
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im))))) |
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im))))) |
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im))))) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) 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) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* -3 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* -3 (pow x.im 2)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3)) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
x.im |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 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) x.re)) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2)))) |
(* -1 (* (pow x.im 2) x.re)) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) |
x.im |
(+ x.im x.re) |
(+ x.im x.re) |
(+ x.im x.re) |
(* -1 (* x.im x.re)) |
(* x.re (+ x.re (* -1 x.im))) |
(* x.re (+ x.re (* -1 x.im))) |
(* x.re (+ x.re (* -1 x.im))) |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* -3 (* (pow x.im 2) x.re)) |
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2))) |
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2))) |
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2))) |
(* -3 (pow x.im 2)) |
(+ (* -3 (pow x.im 2)) (pow x.re 2)) |
(+ (* -3 (pow x.im 2)) (pow x.re 2)) |
(+ (* -3 (pow x.im 2)) (pow x.re 2)) |
x.im |
(+ x.im x.re) |
(+ x.im x.re) |
(+ x.im x.re) |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2)))) |
(* 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) x.re)) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) |
x.re |
(* x.re (+ 1 (/ x.im x.re))) |
(* x.re (+ 1 (/ x.im x.re))) |
(* x.re (+ 1 (/ x.im x.re))) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) |
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) |
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
x.re |
(* x.re (+ 1 (/ x.im x.re))) |
(* x.re (+ 1 (/ x.im x.re))) |
(* x.re (+ 1 (/ x.im x.re))) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2))))) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow 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 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
x.re |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) |
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) |
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
x.re |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
(* 2 (* (pow x.im 2) x.re)) |
| Outputs |
|---|
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re) |
x.re |
(+ x.im x.re) |
(+.f64 x.im x.re) |
(+ x.im x.re) |
(+.f64 x.im x.re) |
(+ x.im x.re) |
(+.f64 x.im x.re) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(+ (* -1 (* x.im x.re)) (pow x.re 2)) |
(*.f64 (-.f64 x.re x.im) x.re) |
(+ (* -1 (* x.im x.re)) (pow x.re 2)) |
(*.f64 (-.f64 x.re x.im) x.re) |
(+ (* -1 (* x.im x.re)) (pow x.re 2)) |
(*.f64 (-.f64 x.re x.im) x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re) |
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re) |
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(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re) |
(* -3 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) |
(* -3 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) |
(* -3 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) |
(* -3 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re)) |
x.re |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x.im) x.re)) x.re) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x.im) x.re)) x.re) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x.im) x.re)) x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
| 4 568× | lower-/.f32 |
| 4 566× | lower-/.f64 |
| 4 460× | lower-*.f32 |
| 4 432× | lower-*.f64 |
| 4 110× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 260 |
| 0 | 70 | 240 |
| 1 | 280 | 188 |
| 2 | 2015 | 185 |
| 0 | 8243 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) |
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) |
(+.f64 x.im x.re) |
(*.f64 (-.f64 x.re x.im) x.re) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) |
(*.f64 x.re x.re) |
(*.f64 (*.f64 x.re x.re) x.re) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) |
(*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im) |
(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) |
(*.f64 #s(literal -3 binary64) x.im) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) |
(*.f64 x.im x.im) |
(fma.f64 (/.f64 x.re x.im) x.im x.im) |
(-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) |
(*.f64 x.re (+.f64 x.im x.im)) |
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x.im))) (/.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) (pow.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x.im)) (pow.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))) (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x.im))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x.im)))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)) (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im))) (*.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))) (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))) (*.f64 #s(literal 2 binary64) x.im))) (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))) (+.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (/.f64 x.re (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.im))) (*.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (/.f64 x.re (fma.f64 x.re x.re (*.f64 x.im x.im)))) #s(literal 0 binary64)) (*.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) x.im))) (*.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) #s(literal 0 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (/.f64 x.re (fma.f64 x.re x.re (*.f64 x.im x.im)))) (fma.f64 x.im x.im #s(literal 0 binary64))) (*.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.im))) (*.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 x.im x.im #s(literal 0 binary64)))) |
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(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 (/.f64 x.re (fma.f64 x.re x.re (*.f64 x.im x.im))) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (/.f64 (/.f64 x.re (fma.f64 x.re x.re (*.f64 x.im x.im))) (pow.f64 (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 (+.f64 x.re x.im) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (/.f64 (+.f64 x.re x.im) (pow.f64 (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)) #s(literal -1 binary64)))) |
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(*.f64 (/.f64 x.re (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x.re (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (/.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (pow.f64 (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 (*.f64 (-.f64 x.re x.im) x.re) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (/.f64 (*.f64 (-.f64 x.re x.im) x.re) (pow.f64 (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal -1 binary64))) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) |
(*.f64 (-.f64 x.re x.im) x.re) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x.re x.re (*.f64 x.re x.im)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im))) (neg.f64 (+.f64 x.re x.im))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im)))) |
(/.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im)))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.im))))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (fma.f64 x.re x.re (*.f64 x.re x.im))) |
(/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) (+.f64 x.re x.im)) |
(fma.f64 x.re x.re (*.f64 (neg.f64 x.re) x.im)) |
(fma.f64 x.re x.re (*.f64 (neg.f64 x.im) x.re)) |
(fma.f64 x.re x.re (*.f64 x.re (neg.f64 x.im))) |
(fma.f64 x.re x.re (neg.f64 (*.f64 x.re x.im))) |
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.im))))) (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.im)))))) |
(-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 x.re x.re (*.f64 x.re x.im))) (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (fma.f64 x.re x.re (*.f64 x.re x.im)))) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.re x.im)) |
(+.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.re) x.im)) |
(+.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.re)) |
(+.f64 (*.f64 x.re x.re) (*.f64 x.re (neg.f64 x.im))) |
(+.f64 (*.f64 x.re x.re) (neg.f64 (*.f64 x.re x.im))) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) |
(*.f64 x.re x.re) |
(pow.f64 (*.f64 x.re x.re) #s(literal 1 binary64)) |
(pow.f64 x.re #s(literal 2 binary64)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.re))) |
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(*.f64 (*.f64 x.re x.re) x.re) |
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(pow.f64 (pow.f64 x.re #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x.re x.re) #s(literal 3/2 binary64)) |
(pow.f64 x.re #s(literal 3 binary64)) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.re)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 3 binary64))) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)) |
(*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)) |
(*.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im x.im)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) |
(*.f64 (*.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im)) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im) |
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im)) |
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) |
(*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) |
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(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) |
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(*.f64 x.im #s(literal -3 binary64)) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)) |
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(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))) |
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) x.re) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 x.re (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))) |
(/.f64 (*.f64 x.re (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)) |
(fma.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) |
(fma.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re (pow.f64 x.re #s(literal 3 binary64))) |
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im (pow.f64 x.re #s(literal 3 binary64))) |
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im) (pow.f64 x.re #s(literal 3 binary64))) |
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)) |
(fma.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(fma.f64 x.re (*.f64 x.re x.re) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)) |
(fma.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (pow.f64 x.re #s(literal 3 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im) (pow.f64 x.re #s(literal 3 binary64))) |
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)) |
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))))) |
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(*.f64 (*.f64 #s(literal 2 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.im) |
(*.f64 (*.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) |
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x.im)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) x.im)) |
(*.f64 x.im (+.f64 x.re x.re)) |
(*.f64 x.im #s(literal 2 binary64)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.im)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 9 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.im)) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) x.im)) #s(literal 0 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.im)) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) x.re)) #s(literal 0 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re)) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) #s(literal 0 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 0 binary64)) |
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.im) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.im) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.im) (fma.f64 x.im x.im #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) |
(/.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.im x.im #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x.im)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x.im)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.im x.im #s(literal 0 binary64))) |
(neg.f64 (*.f64 #s(literal 2 binary64) x.im)) |
(fma.f64 (*.f64 x.re x.im) x.im (*.f64 (*.f64 x.re x.im) x.im)) |
(fma.f64 x.re x.im (*.f64 x.re x.im)) |
(fma.f64 x.im (*.f64 x.re x.im) (*.f64 x.im (*.f64 x.re x.im))) |
(fma.f64 x.im x.re (*.f64 x.re x.im)) |
(-.f64 (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)) (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x.im)) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64) (*.f64 (log.f64 x.im) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x.im) #s(literal 3 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x.re) #s(literal 3 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64))) |
(+.f64 (*.f64 (*.f64 x.re x.im) x.im) (*.f64 (*.f64 x.re x.im) x.im)) |
(+.f64 (*.f64 x.im (*.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re x.im))) |
(+.f64 (neg.f64 (*.f64 x.re x.im)) (neg.f64 (*.f64 x.re x.im))) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) |
(+.f64 x.im x.im) |
Compiled 70 583 to 4 522 computations (93.6% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 254 | 5 | 2 259 |
| Fresh | 3 | 2 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 259 | 12 | 2 271 |
| Status | Accuracy | Program |
|---|---|---|
| 79.9% | (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) | |
| 65.5% | (-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im)) | |
| 89.2% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))) | |
| ✓ | 58.2% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) |
| ✓ | 91.1% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
| 67.8% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) x.re) (*.f64 x.im x.im))) | |
| 52.5% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)) | |
| ✓ | 52.5% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) |
| ✓ | 58.1% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) |
| 52.5% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im))) | |
| ✓ | 48.9% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)) |
| 88.0% | #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)) x.im) x.im)) x.re)) |
Compiled 702 to 252 computations (64.1% saved)
| Inputs |
|---|
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im))) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))) |
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) |
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (neg.f64 (*.f64 x.re x.im)) (neg.f64 (*.f64 x.re x.im))) x.im)) |
(-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im)) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) x.re) (*.f64 x.im x.im))) |
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)) x.im) x.im)) x.re)) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))) |
(-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.re) (*.f64 (fma.f64 (/.f64 x.re x.im) x.re (neg.f64 x.re)) x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) |
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) |
(-.f64 (/.f64 (*.f64 #s(approx (- (pow x.re 4) (pow x.im 4)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.re (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) #s(literal -1 binary64))) x.im)) |
(-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| Outputs |
|---|
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))) |
(-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im)) |
3 calls:
| 13.0ms | x.re |
| 12.0ms | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 10.0ms | x.im |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x.re |
| 97.5% | 2 | x.im |
| 99.8% | 2 | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im))) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))) |
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) |
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (neg.f64 (*.f64 x.re x.im)) (neg.f64 (*.f64 x.re x.im))) x.im)) |
| Outputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) |
3 calls:
| 13.0ms | x.im |
| 6.0ms | x.re |
| 5.0ms | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 2 | x.im |
| 97.4% | 2 | x.re |
| 97.0% | 2 | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im))) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im)) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)) |
| Outputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) |
3 calls:
| 4.0ms | x.im |
| 4.0ms | x.re |
| 4.0ms | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 2 | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 83.0% | 2 | x.re |
| 84.8% | 2 | x.im |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) |
| Outputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) |
1 calls:
| 2.0ms | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 2 | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
Compiled 19 to 11 computations (42.1% saved)
| Inputs |
|---|
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
| Outputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) |
1 calls:
| 2.0ms | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 2 | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
Compiled 19 to 11 computations (42.1% saved)
| Inputs |
|---|
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
| Outputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) |
1 calls:
| 2.0ms | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 2 | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
Compiled 19 to 11 computations (42.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) |
| Outputs |
|---|
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) |
3 calls:
| 1.0ms | x.im |
| 1.0ms | x.re |
| 1.0ms | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.1% | 1 | x.re |
| 58.1% | 1 | x.im |
| 58.1% | 1 | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
Compiled 21 to 15 computations (28.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.205041034879279e+306 | +inf |
Compiled 22 to 16 computations (27.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 2.279613015884561e+145 | 3.8900031052714985e+149 |
| 9.0ms | 128× | 0 | valid |
Compiled 174 to 152 computations (12.6% saved)
ival-mult: 5.0ms (75.2% of total)ival-sub: 1.0ms (15% of total)ival-add: 1.0ms (15% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.64e-321 | 0.0 |
Compiled 22 to 16 computations (27.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.64e-321 | 0.0 |
Compiled 22 to 16 computations (27.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.64e-321 | 0.0 |
Compiled 22 to 16 computations (27.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.64e-321 | 0.0 |
Compiled 22 to 16 computations (27.3% saved)
| 1× | egg-herbie |
| 48× | *-commutative-binary64-*.f64 |
| 24× | +-commutative-binary64-+.f64 |
| 22× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 14× | neg-sub0-binary64--.f64-neg.f64 |
| 14× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 504 |
| 1 | 102 | 504 |
| 2 | 126 | 504 |
| 3 | 145 | 504 |
| 4 | 154 | 504 |
| 5 | 157 | 504 |
| 6 | 158 | 504 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424 binary64)) #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))) (-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))) |
(if (<=.f64 x.im #s(literal 380000000000000007254301031438340155404261763091611828447469841604919248267201845143779104342122504269647797176418193282665904411182752171020714508288 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64))))) |
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))) #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))) |
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))) |
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))) |
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424 binary64)) #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))) (-.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (*.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))) |
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.im)) #s(literal 4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424 binary64)) #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))) (-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im))) (+.f64 x.im x.im))) |
(if (<=.f64 x.im #s(literal 380000000000000007254301031438340155404261763091611828447469841604919248267201845143779104342122504269647797176418193282665904411182752171020714508288 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64))))) |
(if (<=.f64 x.im #s(literal 380000000000000007254301031438340155404261763091611828447469841604919248267201845143779104342122504269647797176418193282665904411182752171020714508288 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im))) |
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))) #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))) |
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re))) #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))) |
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))) |
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im)) #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))) |
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))) |
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))) #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))) |
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))) |
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))) #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))) |
#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) |
| 12 920× | lower-fma.f64 |
| 12 920× | lower-fma.f32 |
| 11 604× | lower-fma.f64 |
| 11 604× | lower-fma.f32 |
| 5 006× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 888 |
| 1 | 169 | 888 |
| 2 | 519 | 888 |
| 3 | 2112 | 888 |
| 4 | 5776 | 888 |
| 0 | 8249 | 870 |
| 0 | 11 | 54 |
| 0 | 20 | 54 |
| 1 | 83 | 42 |
| 0 | 572 | 41 |
| 0 | 206 | 5624 |
| 1 | 677 | 4442 |
| 2 | 2109 | 4012 |
| 3 | 6875 | 4012 |
| 0 | 8288 | 3910 |
| 0 | 53 | 299 |
| 0 | 82 | 273 |
| 1 | 351 | 223 |
| 2 | 2723 | 207 |
| 0 | 8458 | 202 |
| 0 | 42 | 249 |
| 0 | 66 | 235 |
| 1 | 256 | 207 |
| 2 | 1727 | 207 |
| 0 | 8252 | 202 |
| 0 | 46 | 260 |
| 0 | 70 | 240 |
| 1 | 280 | 188 |
| 2 | 2015 | 185 |
| 0 | 8243 | 177 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 552 to 276 computations (50% saved)
(abs x.im)
Compiled 834 to 310 computations (62.8% saved)
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