
Time bar (total: 12.0s)
| 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 22 to 12 computations (45.5% saved)
ival-sub: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 4.8s | 8256× | 0 | valid |
ival-mult: 1.4s (90.5% of total)ival-sub: 88.0ms (5.8% of total)ival-add: 47.0ms (3.1% of total)const: 7.0ms (0.5% of total)backward-pass: 3.0ms (0.2% of total)| 2× | egg-herbie |
| 2018× | sum4-define |
| 1664× | fma-lowering-fma.f32 |
| 1664× | fma-lowering-fma.f64 |
| 1444× | fnmadd-define |
| 1442× | unsub-neg |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 96 |
| 1 | 156 | 86 |
| 2 | 432 | 78 |
| 3 | 1741 | 60 |
| 4 | 7881 | 60 |
| 0 | 11 | 15 |
| 1 | 35 | 14 |
| 2 | 83 | 13 |
| 3 | 265 | 10 |
| 4 | 909 | 9 |
| 5 | 5329 | 9 |
| 0 | 8135 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
| Outputs |
|---|
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) |
| Inputs |
|---|
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
(- (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) (neg x.re)) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) x.im)) |
(- (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) x.re) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) (neg x.im))) |
(neg (- (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) (neg x.re)) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) x.im))) |
(neg (- (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) x.re) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) (neg x.im)))) |
(- (* (- (* x.im x.im) (* x.re x.re)) x.im) (* (+ (* x.im x.re) (* x.re x.im)) x.re)) |
| Outputs |
|---|
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
(fma x.re (square x.re) (* (* x.re (square x.im)) -3)) |
(- (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) (neg x.re)) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) x.im)) |
(fnmadd x.re (square x.re) (* (* x.re (square x.im)) 3)) |
(- (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) x.re) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) (neg x.im))) |
(fma x.re (square x.re) (* (* x.re (square x.im)) -3)) |
(neg (- (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) (neg x.re)) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) x.im))) |
(fma x.re (square x.re) (* (* x.re (square x.im)) -3)) |
(neg (- (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) x.re) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) (neg x.im)))) |
(fnmadd x.re (square x.re) (* (* x.re (square x.im)) 3)) |
(- (* (- (* x.im x.im) (* x.re x.re)) x.im) (* (+ (* x.im x.re) (* x.re x.im)) x.re)) |
(+ (pow x.im 3) (* (* (square x.re) x.im) -3)) |
(abs x.im)
(negabs x.re)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 21 | 0 | - | 0 | - | (-.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)) |
| 19 | 0 | - | 0 | - | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) |
| 9 | 0 | - | 0 | - | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| 0 | 0 | - | 0 | - | x.im |
| 0 | 0 | - | 0 | - | x.re |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
| 0 | 0 | - | 0 | - | (*.f64 x.im x.re) |
| 0 | 0 | - | 0 | - | (*.f64 x.re x.re) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
| 0 | 0 | - | 0 | - | (*.f64 x.im x.im) |
| 0 | 0 | - | 0 | - | (*.f64 x.re x.im) |
| 57.0ms | 512× | 0 | valid |
Compiled 157 to 35 computations (77.7% saved)
ival-mult: 22.0ms (73% of total)ival-sub: 5.0ms (16.6% of total)ival-add: 3.0ms (10% of total)const: 1.0ms (3.3% of total)backward-pass: 0.0ms (0% of total)Compiled 13 to 8 computations (38.5% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 82.8% | (-.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)) |
| ▶ | 89.5% | (*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) |
Compiled 34 to 19 computations (44.1% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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.im) (*.f64 x.im x.re)) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
| ✓ | cost-diff | 512 | (-.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)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x.re x.re) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) |
| 2018× | sum4-define |
| 1686× | fma-lowering-fma.f32 |
| 1686× | fma-lowering-fma.f64 |
| 1456× | fnmadd-define |
| 1396× | sum5-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 74 |
| 1 | 51 | 69 |
| 2 | 124 | 68 |
| 3 | 324 | 68 |
| 4 | 975 | 68 |
| 5 | 5460 | 68 |
| 0 | 8112 | 68 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x.re (+ (* x.re x.re) (* (* x.im x.im) -3))) |
x.re |
(+ (* x.re x.re) (* (* x.im x.im) -3)) |
(* x.re x.re) |
(* (* x.im x.im) -3) |
(* x.im x.im) |
x.im |
-3 |
(- (* (- (* 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.re |
(* x.im x.im) |
x.im |
(* (+ (* x.re x.im) (* x.im x.re)) x.im) |
(+ (* x.re x.im) (* x.im x.re)) |
(* x.re x.im) |
(* x.im x.re) |
| Outputs |
|---|
(* x.re (+ (* x.re x.re) (* (* x.im x.im) -3))) |
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) |
x.re |
(+ (* x.re x.re) (* (* x.im x.im) -3)) |
(+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) |
(* x.re x.re) |
(*.f64 x.re x.re) |
(* (* x.im x.im) -3) |
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) |
(* x.im x.im) |
(*.f64 x.im x.im) |
x.im |
-3 |
#s(literal -3 binary64) |
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) |
(* (- (* x.re x.re) (* x.im x.im)) x.re) |
(*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(- (* x.re x.re) (* x.im x.im)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(* x.re x.re) |
(*.f64 x.re x.re) |
x.re |
(* x.im x.im) |
(*.f64 x.im x.im) |
x.im |
(* (+ (* x.re x.im) (* x.im x.re)) x.im) |
(*.f64 (*.f64 x.im (*.f64 x.re x.im)) #s(literal 2 binary64)) |
(+ (* x.re x.im) (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* x.re x.im) |
(*.f64 x.re x.im) |
(* x.im x.re) |
(*.f64 x.re x.im) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
| ✓ | accuracy | 96.8% | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| ✓ | accuracy | 93.3% | (-.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 | 93.0% | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) |
| ✓ | accuracy | 100.0% | (*.f64 x.im x.im) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) |
| ✓ | accuracy | 96.8% | (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) |
| ✓ | accuracy | 93.0% | (*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) |
| 55.0ms | 256× | 0 | valid |
Compiled 102 to 16 computations (84.3% saved)
ival-mult: 14.0ms (72.8% of total)ival-sub: 2.0ms (10.4% of total)ival-add: 2.0ms (10.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x.re (+ (* x.re x.re) (* (* x.im x.im) -3)))> |
#<alt (+ (* x.re x.re) (* (* x.im x.im) -3))> |
#<alt (* x.re x.re)> |
#<alt (* (* x.im x.im) -3)> |
#<alt (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))> |
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.im)> |
#<alt (+ (* x.re x.im) (* x.im x.re))> |
#<alt (* (- (* x.re x.re) (* x.im x.im)) x.re)> |
#<alt (* x.im x.im)> |
#<alt (- (* x.re x.re) (* x.im x.im))> |
| Outputs |
|---|
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))> |
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))> |
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))> |
#<alt (pow x.re 3)> |
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (pow x.re 3)> |
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))> |
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))> |
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))> |
#<alt (pow x.re 3)> |
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))> |
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))> |
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))> |
#<alt (pow x.re 2)> |
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (pow x.re 2)> |
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (pow x.re 2)> |
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))> |
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))> |
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))> |
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))> |
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))> |
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))> |
#<alt (pow x.re 3)> |
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))> |
#<alt (pow x.re 3)> |
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))> |
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))> |
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))> |
#<alt (pow x.re 3)> |
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))> |
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))> |
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))> |
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* -1 (* (pow x.im 2) x.re))> |
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))> |
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))> |
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))> |
#<alt (pow x.re 3)> |
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (pow x.re 3)> |
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))> |
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))> |
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))> |
#<alt (pow x.re 3)> |
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (* -1 (* (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* -1 (* (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (* -1 (pow x.im 2))> |
#<alt (- (pow x.re 2) (pow x.im 2))> |
#<alt (- (pow x.re 2) (pow x.im 2))> |
#<alt (- (pow x.re 2) (pow x.im 2))> |
#<alt (pow x.re 2)> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (pow x.re 2)> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (pow x.re 2)> |
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))> |
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))> |
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x.re | @ | inf | (+ (* x.re x.im) (* x.im x.re)) |
| 2.0ms | x.re | @ | 0 | (+ (* x.re x.im) (* x.im x.re)) |
| 1.0ms | x.re | @ | 0 | (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
| 1.0ms | x.re | @ | 0 | (* x.re (+ (* x.re x.re) (* (* x.im x.im) -3))) |
| 1.0ms | x.re | @ | inf | (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
| 1× | batch-egg-rewrite |
| 498× | *-lowering-*.f32 |
| 498× | *-lowering-*.f64 |
| 258× | +-lowering-+.f64 |
| 258× | +-lowering-+.f32 |
| 220× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 65 |
| 1 | 114 | 54 |
| 0 | 933 | 54 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x.re (+ (* x.re x.re) (* (* x.im x.im) -3))) |
(+ (* x.re x.re) (* (* x.im x.im) -3)) |
(* x.re x.re) |
(* (* x.im x.im) -3) |
(- (* (- (* 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) |
(+ (* x.re x.im) (* x.im x.re)) |
(* (- (* x.re x.re) (* x.im x.im)) x.re) |
(* x.im x.im) |
(- (* x.re x.re) (* x.im x.im)) |
| Outputs |
|---|
(+.f64 (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)) (*.f64 x.re (*.f64 x.re x.re))) |
(+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re))) |
(fma.f64 x.re (*.f64 x.re x.re) (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re))) |
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (-.f64 (*.f64 (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)) (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re))) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)) (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)))) (-.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)))) |
(/.f64 (*.f64 x.re (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal -27 binary64)))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (-.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re))))) |
(/.f64 (*.f64 x.re (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)))) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal -27 binary64))) x.re) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (-.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))) x.re) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))) |
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))) |
(*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) x.re) |
(+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(+.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re)) |
(-.f64 (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))) (/.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))) |
(fma.f64 x.re x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(fma.f64 x.im (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.re)) |
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) |
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) |
(/.f64 (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal -27 binary64))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (-.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal -27 binary64))) (+.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 x.im #s(literal -3 binary64)))))) |
(/.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (-.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re)))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal -27 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal -27 binary64)))) (neg.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (-.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)))) (neg.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (-.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re))) |
(*.f64 (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (-.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re)))))) |
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))) |
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) |
(pow.f64 x.re #s(literal 2 binary64)) |
(*.f64 x.re x.re) |
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64))) |
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
(*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im) |
(+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(+.f64 (+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(+.f64 (+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (fma.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 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(+.f64 (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(-.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(-.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (-.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (+.f64 (*.f64 x.re (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (/.f64 (*.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (+.f64 (*.f64 x.re (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))) |
(-.f64 (/.f64 (*.f64 x.re (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
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(/.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (neg.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(/.f64 (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (-.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im))) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)))))) |
(/.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))) (-.f64 (*.f64 x.re x.re) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)))) (-.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)))) |
(*.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))) |
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
| 1× | egg-herbie |
| 4034× | *-lowering-*.f32 |
| 4034× | *-lowering-*.f64 |
| 1846× | +-lowering-+.f64 |
| 1846× | +-lowering-+.f32 |
| 1192× | fnmadd-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 1410 |
| 1 | 241 | 1137 |
| 2 | 763 | 1125 |
| 3 | 3363 | 1125 |
| 0 | 8770 | 1125 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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))) |
(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) |
(* -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) |
(+ (* -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)) |
(* -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) 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)) |
(+ (* -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.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))))) |
(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))))) |
(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)) |
(* -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)) |
(* -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.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (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)))) |
(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) |
(* -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.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.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))) |
(* 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)) |
(* 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)) |
(* 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)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* -1 (* (pow x.im 2) 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 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 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 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)) |
(* -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) 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) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(* -1 (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 2) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
| Outputs |
|---|
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2))) |
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) |
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2))) |
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) |
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2))) |
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) |
(pow x.re 3) |
(*.f64 x.re (*.f64 x.re x.re)) |
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) |
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) |
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) |
(pow x.re 3) |
(*.f64 x.re (*.f64 x.re x.re)) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) |
(pow x.re 3) |
(*.f64 x.re (*.f64 x.re x.re)) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) |
(* -3 (pow x.im 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
(+ (* -3 (pow x.im 2)) (pow x.re 2)) |
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)) |
(+ (* -3 (pow x.im 2)) (pow x.re 2)) |
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(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(- (pow x.re 2) (pow x.im 2)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(* -1 (pow x.im 2)) |
(*.f64 x.im (-.f64 #s(literal 0 binary64) x.im)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(* -1 (pow x.im 2)) |
(*.f64 x.im (-.f64 #s(literal 0 binary64) x.im)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
Compiled 7897 to 508 computations (93.6% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 363 | 9 | 372 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 365 | 9 | 374 |
| Status | Accuracy | Program |
|---|---|---|
| 24.9% | (/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)) (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)))) (-.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)))) | |
| ▶ | 36.5% | (/.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))) x.re) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))) |
| ▶ | 91.5% | (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| ▶ | 85.8% | (+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re))) |
| 89.4% | (*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) x.re) | |
| 41.5% | (*.f64 x.re (/.f64 (-.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (-.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re)))) | |
| ▶ | 55.6% | (*.f64 x.re (*.f64 x.re x.re)) |
| ▶ | 50.3% | (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) |
| 50.2% | (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
Compiled 358 to 182 computations (49.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))) x.re) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))) x.re) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))) |
| ✓ | cost-diff | 0 | (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)) |
| ✓ | cost-diff | 0 | (*.f64 x.re x.re) |
| ✓ | cost-diff | 0 | (*.f64 x.re (*.f64 x.re x.re)) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re))) |
| ✓ | 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 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) |
| ✓ | cost-diff | 0 | (*.f64 x.re x.re) |
| ✓ | cost-diff | 0 | (*.f64 x.re (*.f64 x.re x.re)) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
| ✓ | cost-diff | 256 | (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 2250× | sum4-define |
| 2124× | *-lowering-*.f32 |
| 2124× | *-lowering-*.f64 |
| 2022× | +-lowering-+.f64 |
| 2022× | +-lowering-+.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 203 |
| 1 | 93 | 181 |
| 2 | 238 | 175 |
| 3 | 662 | 174 |
| 4 | 2394 | 173 |
| 5 | 7706 | 173 |
| 0 | 8014 | 173 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
(* (+ x.re x.im) (* (- x.re x.im) x.re)) |
(+ x.re x.im) |
x.re |
x.im |
(* (- x.re x.im) x.re) |
(- x.re x.im) |
(* (+ (* x.re x.im) (* x.im x.re)) x.im) |
(+ (* 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.re x.re) |
(* x.re (* -3 (* x.im x.im))) |
x.re |
(* -3 (* x.im x.im)) |
-3 |
(* x.im x.im) |
x.im |
(+ (* x.re (* x.re x.re)) (* x.im (* (* x.im -3) x.re))) |
(* x.re (* x.re x.re)) |
x.re |
(* x.re x.re) |
(* x.im (* (* x.im -3) x.re)) |
x.im |
(* (* x.im -3) x.re) |
(* x.im -3) |
-3 |
(/ (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im)))) |
(* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) |
(- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) |
(* x.re (* x.re (* x.re x.re))) |
x.re |
(* x.re (* x.re x.re)) |
(* x.re x.re) |
(* (* x.im (* x.im (* x.im x.im))) 9) |
(* x.im (* x.im (* x.im x.im))) |
x.im |
(* x.im (* x.im x.im)) |
(* x.im x.im) |
9 |
(+ (* x.re x.re) (* 3 (* x.im x.im))) |
(* 3 (* x.im x.im)) |
3 |
| Outputs |
|---|
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
(*.f64 x.re (+.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.im #s(literal -2 binary64))))) |
(* (+ x.re x.im) (* (- x.re x.im) x.re)) |
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) |
(+ x.re x.im) |
(+.f64 x.re x.im) |
x.re |
x.im |
(* (- x.re x.im) x.re) |
(*.f64 x.re (-.f64 x.re x.im)) |
(- x.re x.im) |
(-.f64 x.re x.im) |
(* (+ (* x.re x.im) (* x.im x.re)) x.im) |
(*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal 2 binary64)) |
(+ (* x.re x.im) (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* x.re x.im) |
(*.f64 x.re x.im) |
(* x.im x.re) |
(*.f64 x.re x.im) |
(* x.re (* x.re x.re)) |
(*.f64 x.re (*.f64 x.re x.re)) |
x.re |
(* x.re x.re) |
(*.f64 x.re x.re) |
(* x.re (* -3 (* x.im x.im))) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
x.re |
(* -3 (* x.im x.im)) |
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
-3 |
#s(literal -3 binary64) |
(* x.im x.im) |
(*.f64 x.im x.im) |
x.im |
(+ (* x.re (* x.re x.re)) (* x.im (* (* x.im -3) x.re))) |
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))) |
(* x.re (* x.re x.re)) |
(*.f64 x.re (*.f64 x.re x.re)) |
x.re |
(* x.re x.re) |
(*.f64 x.re x.re) |
(* x.im (* (* x.im -3) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
x.im |
(* (* x.im -3) x.re) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* x.im -3) |
(*.f64 x.im #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(/ (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im)))) |
(/.f64 (*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im #s(literal -9 binary64)))))) (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal 3 binary64)))) |
(* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) |
(*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im #s(literal -9 binary64)))))) |
(- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) |
(+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im #s(literal -9 binary64))))) |
(* x.re (* x.re (* x.re x.re))) |
(*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) |
x.re |
(* x.re (* x.re x.re)) |
(*.f64 x.re (*.f64 x.re x.re)) |
(* x.re x.re) |
(*.f64 x.re x.re) |
(* (* x.im (* x.im (* x.im x.im))) 9) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im #s(literal 9 binary64)))) |
(* x.im (* x.im (* x.im x.im))) |
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) |
x.im |
(* x.im (* x.im x.im)) |
(*.f64 x.im (*.f64 x.im x.im)) |
(* x.im x.im) |
(*.f64 x.im x.im) |
9 |
#s(literal 9 binary64) |
(+ (* x.re x.re) (* 3 (* x.im x.im))) |
(+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal 3 binary64))) |
(* 3 (* x.im x.im)) |
(*.f64 (*.f64 x.im x.im) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) |
| ✓ | accuracy | 96.7% | (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))) x.re) |
| ✓ | accuracy | 88.2% | (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))) |
| ✓ | accuracy | 45.5% | (/.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))) x.re) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))) |
| ✓ | accuracy | 99.9% | (*.f64 x.re (*.f64 x.re x.re)) |
| ✓ | accuracy | 99.8% | (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) |
| ✓ | accuracy | 87.6% | (+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re))) |
| ✓ | accuracy | 100.0% | (*.f64 x.im x.im) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
| ✓ | accuracy | 87.7% | (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) |
| ✓ | accuracy | 100.0% | (*.f64 x.re x.re) |
| ✓ | accuracy | 99.9% | (*.f64 x.re (*.f64 x.re x.re)) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 x.re x.im) x.re) |
| ✓ | accuracy | 99.8% | (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) |
| ✓ | accuracy | 99.7% | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
| ✓ | accuracy | 93.3% | (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 91.0ms | 256× | 0 | valid |
Compiled 254 to 33 computations (87% saved)
ival-mult: 35.0ms (75.4% of total)ival-add: 5.0ms (10.8% of total)ival-sub: 4.0ms (8.6% of total)ival-div: 2.0ms (4.3% of total)const: 1.0ms (2.2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))> |
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.im)> |
#<alt (+ (* x.re x.im) (* x.im x.re))> |
#<alt (* (+ x.re x.im) (* (- x.re x.im) x.re))> |
#<alt (* x.re (* x.re x.re))> |
#<alt (* x.re x.re)> |
#<alt (* x.re (* -3 (* x.im x.im)))> |
#<alt (* -3 (* x.im x.im))> |
#<alt (* x.im x.im)> |
#<alt (+ (* x.re (* x.re x.re)) (* x.im (* (* x.im -3) x.re)))> |
#<alt (* x.im (* (* x.im -3) x.re))> |
#<alt (/ (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im))))> |
#<alt (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re)> |
#<alt (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9))> |
#<alt (* x.re (* x.re (* x.re x.re)))> |
#<alt (* (- x.re x.im) x.re)> |
#<alt (* (* x.im -3) x.re)> |
#<alt (* 3 (* x.im x.im))> |
| Outputs |
|---|
#<alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))> |
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))> |
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))> |
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))> |
#<alt (pow x.re 3)> |
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))> |
#<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)))))> |
#<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)))))> |
#<alt (pow x.re 3)> |
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))> |
#<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)))> |
#<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)))> |
#<alt (pow x.re 3)> |
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))> |
#<alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))> |
#<alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))> |
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))> |
#<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)))) (* 2 x.re)))> |
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#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
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#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* -1 (* (pow x.im 2) x.re))> |
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))> |
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))> |
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))> |
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#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))> |
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#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))> |
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#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))> |
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))> |
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#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
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#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))> |
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#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
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#<alt (* -3 (* (pow x.im 2) x.re))> |
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#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
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#<alt (* -3 (* (pow x.im 2) x.re))> |
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#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))> |
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#<alt (* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1)))> |
#<alt (pow x.re 5)> |
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#<alt (+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5))> |
#<alt (+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5))> |
#<alt (* -9 (* (pow x.im 4) x.re))> |
#<alt (* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))> |
#<alt (* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))> |
#<alt (* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))> |
#<alt (* -9 (* (pow x.im 4) x.re))> |
#<alt (* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))> |
#<alt (* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))> |
#<alt (* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))> |
#<alt (* -9 (pow x.im 4))> |
#<alt (- (pow x.re 4) (* 9 (pow x.im 4)))> |
#<alt (- (pow x.re 4) (* 9 (pow x.im 4)))> |
#<alt (- (pow x.re 4) (* 9 (pow x.im 4)))> |
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#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))> |
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))> |
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#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))> |
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))> |
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#<alt (+ (* -9 (pow x.im 4)) (pow x.re 4))> |
#<alt (+ (* -9 (pow x.im 4)) (pow x.re 4))> |
#<alt (* -9 (pow x.im 4))> |
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))> |
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))> |
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))> |
#<alt (* -9 (pow x.im 4))> |
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))> |
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))> |
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (* -1 (* x.im x.re))> |
#<alt (* x.re (+ x.re (* -1 x.im)))> |
#<alt (* x.re (+ x.re (* -1 x.im)))> |
#<alt (* x.re (+ x.re (* -1 x.im)))> |
#<alt (pow x.re 2)> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))> |
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#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))> |
#<alt (pow x.re 2)> |
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#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))> |
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))> |
#<alt (* -1 (* x.im x.re))> |
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))> |
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))> |
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))> |
#<alt (* -1 (* x.im x.re))> |
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))> |
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))> |
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* 3 (pow x.im 2))> |
#<alt (* 3 (pow x.im 2))> |
#<alt (* 3 (pow x.im 2))> |
#<alt (* 3 (pow x.im 2))> |
#<alt (* 3 (pow x.im 2))> |
#<alt (* 3 (pow x.im 2))> |
#<alt (* 3 (pow x.im 2))> |
#<alt (* 3 (pow x.im 2))> |
#<alt (* 3 (pow x.im 2))> |
#<alt (* 3 (pow x.im 2))> |
#<alt (* 3 (pow x.im 2))> |
#<alt (* 3 (pow x.im 2))> |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | x.im | @ | 0 | (/ (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im)))) |
| 1.0ms | x.re | @ | 0 | (/ (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im)))) |
| 1.0ms | x.im | @ | inf | (/ (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im)))) |
| 1.0ms | x.re | @ | inf | (/ (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im)))) |
| 1.0ms | x.re | @ | inf | (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
| 1× | batch-egg-rewrite |
| 3282× | *-lowering-*.f32 |
| 3282× | *-lowering-*.f64 |
| 2600× | /-lowering-/.f32 |
| 2600× | /-lowering-/.f64 |
| 1718× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 130 |
| 1 | 195 | 105 |
| 2 | 1646 | 101 |
| 0 | 8224 | 101 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* (+ x.re x.im) (* (- 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.im) (* x.im x.re)) |
(* (+ x.re x.im) (* (- x.re x.im) x.re)) |
(* x.re (* x.re x.re)) |
(* x.re x.re) |
(* x.re (* -3 (* x.im x.im))) |
(* -3 (* x.im x.im)) |
(* x.im x.im) |
(+ (* x.re (* x.re x.re)) (* x.im (* (* x.im -3) x.re))) |
(* x.im (* (* x.im -3) x.re)) |
(/ (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im)))) |
(* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) |
(- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) |
(* x.re (* x.re (* x.re x.re))) |
(* (- x.re x.im) x.re) |
(* (* x.im -3) x.re) |
(* 3 (* x.im x.im)) |
| Outputs |
|---|
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) |
(+.f64 (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(+.f64 (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(+.f64 (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (-.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))) (+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) (*.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (*.f64 x.im x.im))) (+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) (*.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (/.f64 (*.f64 (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) |
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 (-.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) |
(fma.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)) (neg.f64 (-.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (neg.f64 (-.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) |
(fma.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 x.re x.im) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 x.re x.im) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(fma.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 x.re x.im) (neg.f64 (-.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) |
(fma.f64 (+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (*.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) (*.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(fma.f64 (+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (*.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) (*.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (+.f64 (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re (neg.f64 (-.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) |
(fma.f64 (*.f64 (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(fma.f64 (*.f64 (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) |
(fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (neg.f64 (-.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) |
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(*.f64 (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (/.f64 x.re (+.f64 x.re x.im))) |
(*.f64 (/.f64 (-.f64 x.re x.im) (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (/.f64 (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.re x.im))) |
(*.f64 (/.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im)))) (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 x.im x.re)))))) |
(*.f64 (/.f64 x.re (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (-.f64 x.re x.im)) |
(*.f64 (/.f64 x.re (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (+.f64 (*.f64 x.re x.re) (*.f64 x.im (+.f64 x.re x.im))))) |
(*.f64 (/.f64 (-.f64 x.re x.im) (+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im)))) (/.f64 (*.f64 x.re (+.f64 x.re x.im)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 x.im x.re)))))) |
(*.f64 (/.f64 (-.f64 x.re x.im) (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 (*.f64 x.re (+.f64 x.re x.im)) (+.f64 (*.f64 x.re x.re) (*.f64 x.im (+.f64 x.re x.im))))) |
(*.f64 (/.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im)))) (/.f64 (+.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 x.im x.re)))))) |
(*.f64 (/.f64 (*.f64 x.re (-.f64 x.re x.im)) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (/.f64 (+.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im)))) |
(*.f64 (/.f64 (*.f64 x.re (-.f64 x.re x.im)) (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im))) |
(*.f64 (/.f64 (*.f64 x.re (-.f64 x.re x.im)) (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 (+.f64 x.re x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im (+.f64 x.re x.im))))) |
(*.f64 (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (+.f64 x.re x.im))))) |
(*.f64 (/.f64 (*.f64 (+.f64 x.re x.im) x.re) (+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im)))) (/.f64 (-.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 x.im x.re)))))) |
(*.f64 (/.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (/.f64 (-.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x.re x.im) x.re) (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (/.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) |
(*.f64 (/.f64 (*.f64 (+.f64 x.re x.im) x.re) (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 (-.f64 x.re x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im (+.f64 x.re x.im))))) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) |
(*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) |
(*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) |
(*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im) |
(*.f64 x.im (*.f64 x.im #s(literal 3 binary64))) |
(*.f64 (*.f64 x.im x.im) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) |
(*.f64 (*.f64 x.im #s(literal 3 binary64)) x.im) |
| 1× | egg-herbie |
| 2512× | *-lowering-*.f32 |
| 2512× | *-lowering-*.f64 |
| 2460× | +-lowering-+.f64 |
| 2460× | +-lowering-+.f32 |
| 1986× | fma-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 3383 |
| 1 | 600 | 2592 |
| 2 | 2149 | 2288 |
| 0 | 8515 | 2288 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)))) |
(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) |
(* -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) |
(+ (* 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.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) (* -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 (* (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)) |
(* 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)) |
(* 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)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* -1 (* (pow x.im 2) 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)))))) |
(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))))) |
(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))) |
(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)) |
(* -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))))) |
(* -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)))) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(* -3 (* (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) 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) 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) 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) 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)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -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) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(* -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))) |
(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) |
(* -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) |
(+ (* -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)) |
(* -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) 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) 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) 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) 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) 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) 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)) |
(* 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))) |
(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) |
(* -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) |
(+ (* -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)) |
(* -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) 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)))) |
(* -9 (* (pow x.im 4) x.re)) |
(* x.re (+ (* -9 (pow x.im 4)) (pow x.re 4))) |
(* x.re (+ (* -9 (pow x.im 4)) (pow x.re 4))) |
(* x.re (+ (* -9 (pow x.im 4)) (pow x.re 4))) |
(pow x.re 5) |
(* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(pow x.re 5) |
(* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))) |
(* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))) |
(* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))) |
(pow x.re 5) |
(+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5)) |
(+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5)) |
(+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5)) |
(* -9 (* (pow x.im 4) x.re)) |
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4)))) |
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4)))) |
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4)))) |
(* -9 (* (pow x.im 4) x.re)) |
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4)))) |
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4)))) |
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4)))) |
(* -9 (pow x.im 4)) |
(- (pow x.re 4) (* 9 (pow x.im 4))) |
(- (pow x.re 4) (* 9 (pow x.im 4))) |
(- (pow x.re 4) (* 9 (pow x.im 4))) |
(pow x.re 4) |
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(pow x.re 4) |
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(pow x.re 4) |
(+ (* -9 (pow x.im 4)) (pow x.re 4)) |
(+ (* -9 (pow x.im 4)) (pow x.re 4)) |
(+ (* -9 (pow x.im 4)) (pow x.re 4)) |
(* -9 (pow x.im 4)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9)) |
(* -9 (pow x.im 4)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9)) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(* -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))) |
(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 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 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)) |
(* -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 (* 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))))) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* 3 (pow x.im 2)) |
(* 3 (pow x.im 2)) |
(* 3 (pow x.im 2)) |
(* 3 (pow x.im 2)) |
(* 3 (pow x.im 2)) |
(* 3 (pow x.im 2)) |
(* 3 (pow x.im 2)) |
(* 3 (pow x.im 2)) |
(* 3 (pow x.im 2)) |
(* 3 (pow x.im 2)) |
(* 3 (pow x.im 2)) |
(* 3 (pow x.im 2)) |
| Outputs |
|---|
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2)))) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2)))) |
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2)))) |
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))) |
(pow x.re 3) |
(*.f64 x.re (*.f64 x.re x.re)) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(*.f64 x.re (*.f64 x.re 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))))) |
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)) 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))))) |
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)) x.re))) |
(pow x.re 3) |
(*.f64 x.re (*.f64 x.re x.re)) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(*.f64 x.re (*.f64 x.re x.re)) |
(* -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 (*.f64 x.re (*.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)) x.re))) |
(* -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 (*.f64 x.re (*.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)) x.re))) |
(pow x.re 3) |
(*.f64 x.re (*.f64 x.re x.re)) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(*.f64 x.re (*.f64 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 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #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 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re))) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* (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 x.im x.im) (*.f64 x.re (+.f64 (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -3 binary64)))) |
(* (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 x.im x.im) (*.f64 x.re (+.f64 (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -3 binary64)))) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re))) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* (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))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.re (+.f64 (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -3 binary64)))) |
(* (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))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.re (+.f64 (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -3 binary64)))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* -1 (* (pow x.im 2) x.re)) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) |
(*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) |
(*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(pow x.re 3) |
(*.f64 x.re (*.f64 x.re x.re)) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(*.f64 x.re (*.f64 x.re 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))))) |
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re 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))))) |
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) |
(pow x.re 3) |
(*.f64 x.re (*.f64 x.re x.re)) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(*.f64 x.re (*.f64 x.re x.re)) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) |
(pow x.re 3) |
(*.f64 x.re (*.f64 x.re x.re)) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(*.f64 x.re (*.f64 x.re x.re)) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 2) x.re)) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) (*.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))))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re 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))))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) |
(* -1 (* (pow x.im 2) x.re)) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im 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)))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im 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)))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) |
(pow x.re 3) |
(*.f64 x.re (*.f64 x.re x.re)) |
(pow x.re 3) |
(*.f64 x.re (*.f64 x.re x.re)) |
(pow x.re 3) |
(*.f64 x.re (*.f64 x.re x.re)) |
(pow x.re 3) |
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(*.f64 (pow.f64 x.re #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) |
(* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(*.f64 (pow.f64 x.re #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) |
(* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(*.f64 (pow.f64 x.re #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) |
(pow x.re 5) |
(pow.f64 x.re #s(literal 5 binary64)) |
(* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))) |
(*.f64 (pow.f64 x.re #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) |
(* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))) |
(*.f64 (pow.f64 x.re #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) |
(* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))) |
(*.f64 (pow.f64 x.re #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) |
(pow x.re 5) |
(pow.f64 x.re #s(literal 5 binary64)) |
(+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5)) |
(+.f64 (pow.f64 x.re #s(literal 5 binary64)) (*.f64 x.re (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))))) |
(+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5)) |
(+.f64 (pow.f64 x.re #s(literal 5 binary64)) (*.f64 x.re (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))))) |
(+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5)) |
(+.f64 (pow.f64 x.re #s(literal 5 binary64)) (*.f64 x.re (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))))) |
(* -9 (* (pow x.im 4) x.re)) |
(*.f64 x.re (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64)))) |
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4)))) |
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 (*.f64 x.re #s(literal -9 binary64)) (/.f64 (pow.f64 x.re #s(literal 5 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4)))) |
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 (*.f64 x.re #s(literal -9 binary64)) (/.f64 (pow.f64 x.re #s(literal 5 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4)))) |
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 (*.f64 x.re #s(literal -9 binary64)) (/.f64 (pow.f64 x.re #s(literal 5 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(* -9 (* (pow x.im 4) x.re)) |
(*.f64 x.re (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64)))) |
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4)))) |
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 (*.f64 x.re #s(literal -9 binary64)) (/.f64 (pow.f64 x.re #s(literal 5 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4)))) |
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 (*.f64 x.re #s(literal -9 binary64)) (/.f64 (pow.f64 x.re #s(literal 5 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4)))) |
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 (*.f64 x.re #s(literal -9 binary64)) (/.f64 (pow.f64 x.re #s(literal 5 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(* -9 (pow x.im 4)) |
(*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) |
(- (pow x.re 4) (* 9 (pow x.im 4))) |
(+.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) |
(- (pow x.re 4) (* 9 (pow x.im 4))) |
(+.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) |
(- (pow x.re 4) (* 9 (pow x.im 4))) |
(+.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) |
(pow x.re 4) |
(pow.f64 x.re #s(literal 4 binary64)) |
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) |
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) |
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) |
(pow x.re 4) |
(pow.f64 x.re #s(literal 4 binary64)) |
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) |
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) |
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) |
(pow x.re 4) |
(pow.f64 x.re #s(literal 4 binary64)) |
(+ (* -9 (pow x.im 4)) (pow x.re 4)) |
(+.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) |
(+ (* -9 (pow x.im 4)) (pow x.re 4)) |
(+.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) |
(+ (* -9 (pow x.im 4)) (pow x.re 4)) |
(+.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) |
(* -9 (pow x.im 4)) |
(*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9)) |
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -9 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9)) |
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -9 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9)) |
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -9 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(* -9 (pow x.im 4)) |
(*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9)) |
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -9 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9)) |
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -9 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9)) |
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -9 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(pow x.re 4) |
(pow.f64 x.re #s(literal 4 binary64)) |
(pow x.re 4) |
(pow.f64 x.re #s(literal 4 binary64)) |
(pow x.re 4) |
(pow.f64 x.re #s(literal 4 binary64)) |
(pow x.re 4) |
(pow.f64 x.re #s(literal 4 binary64)) |
(pow x.re 4) |
(pow.f64 x.re #s(literal 4 binary64)) |
(pow x.re 4) |
(pow.f64 x.re #s(literal 4 binary64)) |
(pow x.re 4) |
(pow.f64 x.re #s(literal 4 binary64)) |
(pow x.re 4) |
(pow.f64 x.re #s(literal 4 binary64)) |
(pow x.re 4) |
(pow.f64 x.re #s(literal 4 binary64)) |
(pow x.re 4) |
(pow.f64 x.re #s(literal 4 binary64)) |
(pow x.re 4) |
(pow.f64 x.re #s(literal 4 binary64)) |
(pow x.re 4) |
(pow.f64 x.re #s(literal 4 binary64)) |
(* -1 (* x.im x.re)) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) x.im)) |
(* x.re (+ x.re (* -1 x.im))) |
(*.f64 x.re (-.f64 x.re x.im)) |
(* x.re (+ x.re (* -1 x.im))) |
(*.f64 x.re (-.f64 x.re x.im)) |
(* x.re (+ x.re (* -1 x.im))) |
(*.f64 x.re (-.f64 x.re x.im)) |
(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 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 2) |
(*.f64 x.re x.re) |
(+ (* -1 (* x.im x.re)) (pow x.re 2)) |
(*.f64 x.re (-.f64 x.re x.im)) |
(+ (* -1 (* x.im x.re)) (pow x.re 2)) |
(*.f64 x.re (-.f64 x.re x.im)) |
(+ (* -1 (* x.im x.re)) (pow x.re 2)) |
(*.f64 x.re (-.f64 x.re x.im)) |
(* -1 (* x.im x.re)) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) x.im)) |
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im))) |
(*.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) |
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im))) |
(*.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) |
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im))) |
(*.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) |
(* -1 (* x.im x.re)) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) x.im)) |
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im))))) |
(*.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) |
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im))))) |
(*.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) |
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im))))) |
(*.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* 3 (pow x.im 2)) |
(*.f64 (*.f64 x.im x.im) #s(literal 3 binary64)) |
(* 3 (pow x.im 2)) |
(*.f64 (*.f64 x.im x.im) #s(literal 3 binary64)) |
(* 3 (pow x.im 2)) |
(*.f64 (*.f64 x.im x.im) #s(literal 3 binary64)) |
(* 3 (pow x.im 2)) |
(*.f64 (*.f64 x.im x.im) #s(literal 3 binary64)) |
(* 3 (pow x.im 2)) |
(*.f64 (*.f64 x.im x.im) #s(literal 3 binary64)) |
(* 3 (pow x.im 2)) |
(*.f64 (*.f64 x.im x.im) #s(literal 3 binary64)) |
(* 3 (pow x.im 2)) |
(*.f64 (*.f64 x.im x.im) #s(literal 3 binary64)) |
(* 3 (pow x.im 2)) |
(*.f64 (*.f64 x.im x.im) #s(literal 3 binary64)) |
(* 3 (pow x.im 2)) |
(*.f64 (*.f64 x.im x.im) #s(literal 3 binary64)) |
(* 3 (pow x.im 2)) |
(*.f64 (*.f64 x.im x.im) #s(literal 3 binary64)) |
(* 3 (pow x.im 2)) |
(*.f64 (*.f64 x.im x.im) #s(literal 3 binary64)) |
(* 3 (pow x.im 2)) |
(*.f64 (*.f64 x.im x.im) #s(literal 3 binary64)) |
Compiled 38095 to 1927 computations (94.9% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1083 | 9 | 1092 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1088 | 13 | 1101 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.9% | (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im))) (-.f64 x.re x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 55.3% | (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (/.f64 (*.f64 x.re (-.f64 x.re x.im)) (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| 87.5% | (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| ✓ | 85.8% | (+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re))) |
| 38.9% | (*.f64 (/.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal 3 binary64))))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)))) | |
| ▶ | 89.4% | (*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) x.re) |
| 57.1% | (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im) | |
| ▶ | 50.2% | (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)) |
| 57.0% | (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) | |
| ▶ | 66.9% | (*.f64 (*.f64 x.im x.im) (*.f64 x.re (+.f64 (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -3 binary64)))) |
| 41.5% | (*.f64 x.re (/.f64 (-.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (-.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re)))) | |
| ▶ | 50.2% | (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)) |
| ✓ | 55.6% | (*.f64 x.re (*.f64 x.re x.re)) |
Compiled 464 to 253 computations (45.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
| ✓ | cost-diff | 512 | (/.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im))) (-.f64 x.re x.im)) |
| ✓ | cost-diff | 1024 | (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im))) (-.f64 x.re x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x.re (+.f64 (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x.im x.im) |
| ✓ | cost-diff | 256 | (*.f64 (*.f64 x.im x.im) (*.f64 x.re (+.f64 (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -3 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x.im x.im) |
| ✓ | cost-diff | 0 | (*.f64 x.re (*.f64 x.im x.im)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x.im #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im) |
| ✓ | cost-diff | 0 | (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)) |
| ✓ | cost-diff | 0 | (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x.re x.re) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) x.re) |
| 2888× | *-lowering-*.f32 |
| 2888× | *-lowering-*.f64 |
| 2360× | +-lowering-+.f64 |
| 2360× | +-lowering-+.f32 |
| 1676× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 170 |
| 1 | 87 | 161 |
| 2 | 259 | 154 |
| 3 | 831 | 151 |
| 4 | 3427 | 151 |
| 0 | 8449 | 151 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ (* x.re x.re) (* x.im (* x.im -3))) x.re) |
(+ (* x.re x.re) (* x.im (* x.im -3))) |
(* x.re x.re) |
x.re |
(* x.im (* x.im -3)) |
x.im |
(* x.im -3) |
-3 |
(* x.re (* (* x.im -3) x.im)) |
x.re |
(* (* x.im -3) x.im) |
(* x.im -3) |
x.im |
-3 |
(* (* x.re (* x.im x.im)) -3) |
(* x.re (* x.im x.im)) |
x.re |
(* x.im x.im) |
x.im |
-3 |
(* (* x.im x.im) (* x.re (+ (/ (* x.re x.re) (* x.im x.im)) -3))) |
(* x.im x.im) |
x.im |
(* x.re (+ (/ (* x.re x.re) (* x.im x.im)) -3)) |
x.re |
(+ (/ (* x.re x.re) (* x.im x.im)) -3) |
(/ (* x.re x.re) (* x.im x.im)) |
(* x.re x.re) |
-3 |
(- (/ (* (- (* x.re 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.im)) |
(/ (* (- (* x.re x.re) (* x.im x.im)) (* x.re (- x.re x.im))) (- x.re x.im)) |
(* (- (* x.re x.re) (* x.im x.im)) (* x.re (- x.re x.im))) |
(- (* x.re x.re) (* x.im x.im)) |
(* x.re x.re) |
x.re |
(* x.im x.im) |
x.im |
(* x.re (- x.re x.im)) |
(- x.re x.im) |
(* (+ (* x.re x.im) (* x.im x.re)) x.im) |
(+ (* x.re x.im) (* x.im x.re)) |
(* x.re x.im) |
(* x.im x.re) |
| Outputs |
|---|
(* (+ (* x.re x.re) (* x.im (* x.im -3))) x.re) |
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))) |
(+ (* x.re x.re) (* x.im (* x.im -3))) |
(+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* x.re x.re) |
(*.f64 x.re x.re) |
x.re |
(* x.im (* x.im -3)) |
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
x.im |
(* x.im -3) |
(*.f64 x.im #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(* x.re (* (* x.im -3) x.im)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
x.re |
(* (* x.im -3) x.im) |
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
(* x.im -3) |
(*.f64 x.im #s(literal -3 binary64)) |
x.im |
-3 |
#s(literal -3 binary64) |
(* (* x.re (* x.im x.im)) -3) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* x.re (* x.im x.im)) |
(*.f64 x.re (*.f64 x.im x.im)) |
x.re |
(* x.im x.im) |
(*.f64 x.im x.im) |
x.im |
-3 |
#s(literal -3 binary64) |
(* (* x.im x.im) (* x.re (+ (/ (* x.re x.re) (* x.im x.im)) -3))) |
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))) |
(* x.im x.im) |
(*.f64 x.im x.im) |
x.im |
(* x.re (+ (/ (* x.re x.re) (* x.im x.im)) -3)) |
(*.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im))) |
x.re |
(+ (/ (* x.re x.re) (* x.im x.im)) -3) |
(+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)) |
(/ (* x.re x.re) (* x.im x.im)) |
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im) |
(* x.re x.re) |
(*.f64 x.re x.re) |
-3 |
#s(literal -3 binary64) |
(- (/ (* (- (* x.re 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.im)) |
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))) |
(/ (* (- (* x.re x.re) (* x.im x.im)) (* x.re (- x.re x.im))) (- x.re x.im)) |
(*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(* (- (* x.re x.re) (* x.im x.im)) (* x.re (- x.re x.im))) |
(*.f64 x.re (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 x.re x.im))) |
(- (* x.re x.re) (* x.im x.im)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(* x.re x.re) |
(*.f64 x.re x.re) |
x.re |
(* x.im x.im) |
(*.f64 x.im x.im) |
x.im |
(* x.re (- x.re x.im)) |
(*.f64 x.re (-.f64 x.re x.im)) |
(- x.re x.im) |
(-.f64 x.re x.im) |
(* (+ (* x.re x.im) (* x.im x.re)) x.im) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))) |
(+ (* x.re x.im) (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* x.re x.im) |
(*.f64 x.re x.im) |
(* x.im x.re) |
(*.f64 x.re x.im) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im))) |
| ✓ | accuracy | 96.8% | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| ✓ | accuracy | 93.3% | (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im))) (-.f64 x.re x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| ✓ | accuracy | 86.5% | (/.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im))) (-.f64 x.re x.im)) |
| ✓ | accuracy | 100.0% | (*.f64 x.im x.im) |
| ✓ | accuracy | 99.1% | (*.f64 x.re (+.f64 (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -3 binary64))) |
| ✓ | accuracy | 79.8% | (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| ✓ | accuracy | 76.7% | (*.f64 (*.f64 x.im x.im) (*.f64 x.re (+.f64 (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -3 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x.im x.im) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)) |
| ✓ | accuracy | 87.7% | (*.f64 x.re (*.f64 x.im x.im)) |
| ✓ | accuracy | 100.0% | (*.f64 x.im #s(literal -3 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im) |
| ✓ | accuracy | 87.7% | (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)) |
| ✓ | accuracy | 100.0% | (*.f64 x.im #s(literal -3 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
| ✓ | accuracy | 96.8% | (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
| ✓ | accuracy | 93.0% | (*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) x.re) |
| 116.0ms | 237× | 0 | valid |
| 10.0ms | 9× | 3 | valid |
| 9.0ms | 5× | 4 | valid |
| 4.0ms | 5× | 2 | valid |
Compiled 226 to 28 computations (87.6% saved)
ival-mult: 77.0ms (82.2% of total)ival-add: 5.0ms (5.3% of total)ival-div: 4.0ms (4.3% of total)ival-sub: 4.0ms (4.3% of total)backward-pass: 3.0ms (3.2% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (+ (* x.re x.re) (* x.im (* x.im -3))) x.re)> |
#<alt (+ (* x.re x.re) (* x.im (* x.im -3)))> |
#<alt (* x.re x.re)> |
#<alt (* x.im (* x.im -3))> |
#<alt (* x.re (* (* x.im -3) x.im))> |
#<alt (* (* x.im -3) x.im)> |
#<alt (* x.im -3)> |
#<alt (* (* x.re (* x.im x.im)) -3)> |
#<alt (* x.re (* x.im x.im))> |
#<alt (* x.im x.im)> |
#<alt (* (* x.im x.im) (* x.re (+ (/ (* x.re x.re) (* x.im x.im)) -3)))> |
#<alt (* x.re (+ (/ (* x.re x.re) (* x.im x.im)) -3))> |
#<alt (+ (/ (* x.re x.re) (* x.im x.im)) -3)> |
#<alt (- (/ (* (- (* x.re 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.im))> |
#<alt (/ (* (- (* x.re x.re) (* x.im x.im)) (* x.re (- x.re x.im))) (- x.re x.im))> |
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.im)> |
#<alt (+ (* x.re x.im) (* x.im x.re))> |
#<alt (/ (* x.re x.re) (* x.im x.im))> |
#<alt (- (* x.re x.re) (* x.im x.im))> |
#<alt (* (- (* x.re x.re) (* x.im x.im)) (* x.re (- x.re x.im)))> |
| Outputs |
|---|
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))> |
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))> |
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))> |
#<alt (pow x.re 3)> |
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (pow x.re 3)> |
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))> |
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))> |
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))> |
#<alt (pow x.re 3)> |
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))> |
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))> |
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))> |
#<alt (pow x.re 2)> |
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (pow x.re 2)> |
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (pow x.re 2)> |
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))> |
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))> |
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (* (pow x.im 2) x.re)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.re 3)> |
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))> |
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))> |
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))> |
#<alt (pow x.re 3)> |
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (pow x.re 3)> |
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))> |
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))> |
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))> |
#<alt (* -3 x.re)> |
#<alt (* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (/ (pow x.re 3) (pow x.im 2))> |
#<alt (* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))> |
#<alt (/ (pow x.re 3) (pow x.im 2))> |
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))> |
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))> |
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))> |
#<alt (/ (pow x.re 3) (pow x.im 2))> |
#<alt (/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))> |
#<alt (/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))> |
#<alt (/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))> |
#<alt (* -3 x.re)> |
#<alt (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))> |
#<alt (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))> |
#<alt (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))> |
#<alt (* -3 x.re)> |
#<alt (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))> |
#<alt (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))> |
#<alt (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))> |
#<alt -3> |
#<alt (- (/ (pow x.re 2) (pow x.im 2)) 3)> |
#<alt (- (/ (pow x.re 2) (pow x.im 2)) 3)> |
#<alt (- (/ (pow x.re 2) (pow x.im 2)) 3)> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))> |
#<alt (/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))> |
#<alt (/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))> |
#<alt -3> |
#<alt (- (/ (pow x.re 2) (pow x.im 2)) 3)> |
#<alt (- (/ (pow x.re 2) (pow x.im 2)) 3)> |
#<alt (- (/ (pow x.re 2) (pow x.im 2)) 3)> |
#<alt -3> |
#<alt (- (/ (pow x.re 2) (pow x.im 2)) 3)> |
#<alt (- (/ (pow x.re 2) (pow x.im 2)) 3)> |
#<alt (- (/ (pow x.re 2) (pow x.im 2)) 3)> |
#<alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))> |
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))> |
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))> |
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))> |
#<alt (pow x.re 3)> |
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))> |
#<alt (pow x.re 3)> |
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))> |
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))> |
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))> |
#<alt (pow x.re 3)> |
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))> |
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))> |
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))> |
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))> |
#<alt (* -1 (* (pow x.im 2) x.re))> |
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))> |
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))> |
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))> |
#<alt (pow x.re 3)> |
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (pow x.re 3)> |
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))> |
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))> |
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))> |
#<alt (pow x.re 3)> |
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (* -1 (* (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* -1 (* (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (/ (pow x.re 2) (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (- (pow x.re 2) (pow x.im 2))> |
#<alt (- (pow x.re 2) (pow x.im 2))> |
#<alt (- (pow x.re 2) (pow x.im 2))> |
#<alt (pow x.re 2)> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (pow x.re 2)> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (pow x.re 2)> |
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))> |
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))> |
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* (pow x.im 3) x.re)> |
#<alt (* x.re (+ (* -1 (* (pow x.im 2) x.re)) (pow x.im 3)))> |
#<alt (* x.re (+ (* x.re (+ (* -1 (* x.im x.re)) (* -1 (pow x.im 2)))) (pow x.im 3)))> |
#<alt (* x.re (+ (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.re (* -1 x.im))))) (pow x.im 3)))> |
#<alt (pow x.re 4)> |
#<alt (* (pow x.re 4) (+ 1 (* -1 (/ x.im x.re))))> |
#<alt (* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (* -1 (/ (pow x.im 2) (pow x.re 2))))))> |
#<alt (* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 3) (pow x.re 3))))))> |
#<alt (pow x.re 4)> |
#<alt (* (pow x.re 4) (+ 1 (* -1 (/ x.im x.re))))> |
#<alt (* (pow x.re 4) (+ 1 (* -1 (/ (+ x.im (/ (pow x.im 2) x.re)) x.re))))> |
#<alt (* (pow x.re 4) (+ 1 (* -1 (/ (+ x.im (* -1 (/ (+ (* -1 (pow x.im 2)) (/ (pow x.im 3) x.re)) x.re))) x.re))))> |
#<alt (pow x.re 4)> |
#<alt (+ (* -1 (* x.im (pow x.re 3))) (pow x.re 4))> |
#<alt (+ (* x.im (+ (* -1 (* x.im (pow x.re 2))) (* -1 (pow x.re 3)))) (pow x.re 4))> |
#<alt (+ (* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (* x.im x.re))))) (pow x.re 4))> |
#<alt (* (pow x.im 3) x.re)> |
#<alt (* (pow x.im 3) (+ x.re (* -1 (/ (pow x.re 2) x.im))))> |
#<alt (* (pow x.im 3) (+ x.re (+ (* -1 (/ (pow x.re 2) x.im)) (* -1 (/ (pow x.re 3) (pow x.im 2))))))> |
#<alt (* (pow x.im 3) (+ x.re (+ (* -1 (/ (pow x.re 2) x.im)) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (/ (pow x.re 4) (pow x.im 3))))))> |
#<alt (* (pow x.im 3) x.re)> |
#<alt (* -1 (* (pow x.im 3) (+ (* -1 x.re) (/ (pow x.re 2) x.im))))> |
#<alt (* -1 (* (pow x.im 3) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* -1 (pow x.re 2))) x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x.re 4) x.im)) (pow x.re 3)) x.im)) (* -1 (pow x.re 2))) x.im)))))> |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x.re | @ | 0 | (* (* x.im x.im) (* x.re (+ (/ (* x.re x.re) (* x.im x.im)) -3))) |
| 1.0ms | x.re | @ | inf | (* (* x.im x.im) (* x.re (+ (/ (* x.re x.re) (* x.im x.im)) -3))) |
| 1.0ms | x.im | @ | 0 | (* (* x.im x.im) (* x.re (+ (/ (* x.re x.re) (* x.im x.im)) -3))) |
| 0.0ms | x.im | @ | inf | (* (* x.im x.im) (* x.re (+ (/ (* x.re x.re) (* x.im x.im)) -3))) |
| 0.0ms | x.re | @ | 0 | (* (- (* x.re x.re) (* x.im x.im)) (* x.re (- x.re x.im))) |
| 1× | batch-egg-rewrite |
| 4116× | *-lowering-*.f32 |
| 4116× | *-lowering-*.f64 |
| 3544× | /-lowering-/.f32 |
| 3544× | /-lowering-/.f64 |
| 1778× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 149 |
| 1 | 180 | 122 |
| 2 | 1591 | 121 |
| 0 | 8604 | 121 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ (* x.re x.re) (* x.im (* x.im -3))) x.re) |
(+ (* x.re x.re) (* x.im (* x.im -3))) |
(* x.re x.re) |
(* x.im (* x.im -3)) |
(* x.re (* (* x.im -3) x.im)) |
(* (* x.im -3) x.im) |
(* x.im -3) |
(* (* x.re (* x.im x.im)) -3) |
(* x.re (* x.im x.im)) |
(* x.im x.im) |
(* (* x.im x.im) (* x.re (+ (/ (* x.re x.re) (* x.im x.im)) -3))) |
(* x.re (+ (/ (* x.re x.re) (* x.im x.im)) -3)) |
(+ (/ (* x.re x.re) (* x.im x.im)) -3) |
(- (/ (* (- (* x.re 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.im)) |
(/ (* (- (* x.re 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.im) |
(+ (* 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.re x.im))) |
| Outputs |
|---|
(+.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re x.re))) |
(+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) |
(fma.f64 x.re (*.f64 x.re x.re) (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) |
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re))) |
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) |
(fma.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) (*.f64 x.re (*.f64 x.re x.re))) |
(fma.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re))) |
(fma.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.im) (*.f64 x.re (*.f64 x.re x.re))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re (*.f64 x.re (*.f64 x.re x.re))) |
(fma.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.re (*.f64 x.re x.re))) |
(fma.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64) (*.f64 x.re (*.f64 x.re x.re))) |
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re (*.f64 x.re x.re))) |
(fma.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im) (*.f64 x.re (*.f64 x.re x.re))) |
(fma.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im (*.f64 x.re (*.f64 x.re x.re))) |
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) x.im (*.f64 x.re (*.f64 x.re x.re))) |
(/.f64 (*.f64 x.re (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 #s(literal -27 binary64) (*.f64 x.im (*.f64 x.im x.im)))))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))))) |
(/.f64 (*.f64 x.re (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 #s(literal -27 binary64) (*.f64 x.im (*.f64 x.im x.im))))) x.re) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) x.re) (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) |
(/.f64 (neg.f64 (*.f64 x.re (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 #s(literal -27 binary64) (*.f64 x.im (*.f64 x.im x.im))))))) (neg.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))))) |
(/.f64 (neg.f64 (*.f64 x.re (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) (neg.f64 (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 #s(literal -27 binary64) (*.f64 x.im (*.f64 x.im x.im))))) x.re)) (neg.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) x.re)) (neg.f64 (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) |
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) |
(*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re) |
(+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) |
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)) |
(-.f64 (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))) |
(fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) |
(fma.f64 x.im (*.f64 x.im #s(literal -3 binary64)) (*.f64 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 #s(literal -3 binary64)) x.im (*.f64 x.re x.re)) |
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) |
(/.f64 (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 #s(literal -27 binary64) (*.f64 x.im (*.f64 x.im x.im))))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 #s(literal -27 binary64) (*.f64 x.im (*.f64 x.im x.im))))) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 #s(literal -27 binary64) (*.f64 x.im (*.f64 x.im x.im))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) |
(/.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 #s(literal -27 binary64) (*.f64 x.im (*.f64 x.im x.im)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 #s(literal -27 binary64) (*.f64 x.im (*.f64 x.im x.im)))))) (neg.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 #s(literal -27 binary64) (*.f64 x.im (*.f64 x.im x.im)))))) (neg.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (neg.f64 (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))) |
(/.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 #s(literal -27 binary64) (*.f64 x.im (*.f64 x.im x.im))))))) (neg.f64 (neg.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))) (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))) |
(pow.f64 (/.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 #s(literal -27 binary64) (*.f64 x.im (*.f64 x.im x.im)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 #s(literal -27 binary64) (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))))) |
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.re))) |
(pow.f64 x.re #s(literal 2 binary64)) |
(pow.f64 (*.f64 x.re x.re) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x.re)) #s(literal 2 binary64)) |
(*.f64 x.re x.re) |
(*.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.f64 x.re))) |
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
(*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im) |
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) |
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) |
(*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64)))) |
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im))) |
(*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.im)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))) |
(*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)) |
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) |
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)) |
(*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) x.im) |
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
(*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im) |
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) |
(*.f64 x.im #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) x.im) |
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) |
(*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64)))) |
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im))) |
(*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.im)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))) |
(*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)) |
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) |
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)) |
(*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) x.im) |
(*.f64 x.re (*.f64 x.im x.im)) |
(*.f64 x.im (*.f64 x.re x.im)) |
(*.f64 (*.f64 x.im x.im) x.re) |
(*.f64 (*.f64 x.re x.im) x.im) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im))) |
(pow.f64 x.im #s(literal 2 binary64)) |
(pow.f64 (*.f64 x.im x.im) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x.im)) #s(literal 2 binary64)) |
(*.f64 x.im x.im) |
(*.f64 (-.f64 #s(literal 0 binary64) x.im) (-.f64 #s(literal 0 binary64) x.im)) |
(*.f64 (exp.f64 (log.f64 x.im)) (exp.f64 (log.f64 x.im))) |
(+.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im))) |
(+.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (*.f64 (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im) (*.f64 x.re (*.f64 x.im x.im)))) |
(+.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.re (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im))) (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re 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)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) (neg.f64 (neg.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (neg.f64 (neg.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)))))) (neg.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (-.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im))) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im))))) (neg.f64 (-.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x.re x.im) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (neg.f64 (+.f64 x.re x.im))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x.re x.im) (-.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im (+.f64 x.re x.im))))) |
(pow.f64 (/.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) #s(literal -1 binary64)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(*.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))) |
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) |
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)))) |
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im)))) |
(+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (*.f64 x.re x.re)) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))) |
(+.f64 (*.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) x.re) (*.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) x.im))) |
(+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im)))) |
(+.f64 (*.f64 x.re (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (*.f64 (-.f64 #s(literal 0 binary64) x.im) (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) |
(fma.f64 x.re (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 (-.f64 #s(literal 0 binary64) x.im) (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) |
(fma.f64 x.re (*.f64 (-.f64 x.re x.im) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)))) |
(fma.f64 x.re (*.f64 (-.f64 x.re x.im) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im)))) |
(fma.f64 (*.f64 x.re x.re) (*.f64 x.re (-.f64 x.re x.im)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im)))) |
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)))) |
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im)))) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)))) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im)))) |
(fma.f64 (*.f64 x.re (-.f64 x.re x.im)) (*.f64 x.re x.re) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))) |
(fma.f64 (*.f64 x.re (-.f64 x.re x.im)) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)))) |
(fma.f64 (*.f64 x.re (-.f64 x.re x.im)) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im)))) |
(fma.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)))) |
(fma.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im)))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im)))) |
(fma.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) x.re (*.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) x.im))) |
(fma.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (-.f64 x.re x.im) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)))) |
(fma.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (-.f64 x.re x.im) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 x.re x.im)) x.re (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 x.re x.im)) x.re (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(/.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) |
(/.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(/.f64 (*.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (+.f64 x.re x.im)) |
(/.f64 (*.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im)))) (+.f64 (*.f64 x.re x.re) (*.f64 x.im (+.f64 x.re x.im)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (*.f64 x.re (-.f64 x.re x.im)))) (neg.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.re (-.f64 x.re x.im)))) (neg.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) (neg.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (neg.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (neg.f64 (+.f64 x.re x.im))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im (+.f64 x.re x.im))))) |
(*.f64 x.re (*.f64 (-.f64 x.re x.im) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im))) |
(*.f64 (-.f64 x.re x.im) (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(*.f64 (*.f64 x.re (-.f64 x.re x.im)) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(*.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 x.re x.im)) (-.f64 x.re x.im)) |
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) |
(*.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (-.f64 x.re x.im)) |
(*.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 x.re x.im)) x.re) |
| 1× | egg-herbie |
| 3544× | *-lowering-*.f32 |
| 3544× | *-lowering-*.f64 |
| 1814× | +-lowering-+.f64 |
| 1814× | +-lowering-+.f32 |
| 1774× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 183 | 3499 |
| 1 | 636 | 2848 |
| 2 | 2239 | 2712 |
| 3 | 6936 | 2712 |
| 0 | 8092 | 2712 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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))) |
(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) |
(* -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) |
(+ (* -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)) |
(* -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) 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)) |
(+ (* -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.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))))) |
(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))))) |
(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)) |
(* -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)) |
(* -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.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(pow x.re 2) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (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 (* (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) 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) 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) 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) x.re)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -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) 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) 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) 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) 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) 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) 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) 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) 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) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.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)) |
(* -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) 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) 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))) |
(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) |
(* -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))) |
(* -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)) |
(/ (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 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 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)) |
(* -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 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.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 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 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)) |
-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) |
-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) (+ 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) |
(* -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.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.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))) |
(* -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 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 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 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)) |
(* -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) 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)))) |
(* 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)) |
(* 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)) |
(* 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)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(/ (pow x.re 2) (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 2) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 3) x.re) |
(* x.re (+ (* -1 (* (pow x.im 2) x.re)) (pow x.im 3))) |
(* x.re (+ (* x.re (+ (* -1 (* x.im x.re)) (* -1 (pow x.im 2)))) (pow x.im 3))) |
(* x.re (+ (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.re (* -1 x.im))))) (pow x.im 3))) |
(pow x.re 4) |
(* (pow x.re 4) (+ 1 (* -1 (/ x.im x.re)))) |
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (* -1 (/ (pow x.im 2) (pow x.re 2)))))) |
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 3) (pow x.re 3)))))) |
(pow x.re 4) |
(* (pow x.re 4) (+ 1 (* -1 (/ x.im x.re)))) |
(* (pow x.re 4) (+ 1 (* -1 (/ (+ x.im (/ (pow x.im 2) x.re)) x.re)))) |
(* (pow x.re 4) (+ 1 (* -1 (/ (+ x.im (* -1 (/ (+ (* -1 (pow x.im 2)) (/ (pow x.im 3) x.re)) x.re))) x.re)))) |
(pow x.re 4) |
(+ (* -1 (* x.im (pow x.re 3))) (pow x.re 4)) |
(+ (* x.im (+ (* -1 (* x.im (pow x.re 2))) (* -1 (pow x.re 3)))) (pow x.re 4)) |
(+ (* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (* x.im x.re))))) (pow x.re 4)) |
(* (pow x.im 3) x.re) |
(* (pow x.im 3) (+ x.re (* -1 (/ (pow x.re 2) x.im)))) |
(* (pow x.im 3) (+ x.re (+ (* -1 (/ (pow x.re 2) x.im)) (* -1 (/ (pow x.re 3) (pow x.im 2)))))) |
(* (pow x.im 3) (+ x.re (+ (* -1 (/ (pow x.re 2) x.im)) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (/ (pow x.re 4) (pow x.im 3)))))) |
(* (pow x.im 3) x.re) |
(* -1 (* (pow x.im 3) (+ (* -1 x.re) (/ (pow x.re 2) x.im)))) |
(* -1 (* (pow x.im 3) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* -1 (pow x.re 2))) x.im))))) |
(* -1 (* (pow x.im 3) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x.re 4) x.im)) (pow x.re 3)) x.im)) (* -1 (pow x.re 2))) x.im))))) |
| Outputs |
|---|
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
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(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x.im (/.f64 (*.f64 (*.f64 x.im x.im) (+.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)) |
(+ (* -1 (* x.im (pow x.re 3))) (pow x.re 4)) |
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 x.im (*.f64 x.re (*.f64 x.re x.re)))) |
(+ (* x.im (+ (* -1 (* x.im (pow x.re 2))) (* -1 (pow x.re 3)))) (pow x.re 4)) |
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 x.re (*.f64 x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im (+.f64 x.im x.re)))))) |
(+ (* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (* x.im x.re))))) (pow x.re 4)) |
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 x.im (-.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.im x.re))) (*.f64 x.re (*.f64 x.re x.re))))) |
(* (pow x.im 3) x.re) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im x.im))) |
(* (pow x.im 3) (+ x.re (* -1 (/ (pow x.re 2) x.im)))) |
(*.f64 (*.f64 x.im x.im) (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))) |
(* (pow x.im 3) (+ x.re (+ (* -1 (/ (pow x.re 2) x.im)) (* -1 (/ (pow x.re 3) (pow x.im 2)))))) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 x.re (/.f64 (*.f64 (*.f64 x.re x.re) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.im))) |
(* (pow x.im 3) (+ x.re (+ (* -1 (/ (pow x.re 2) x.im)) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (/ (pow x.re 4) (pow x.im 3)))))) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 x.re (+.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 x.im (*.f64 x.im x.im))) (/.f64 (*.f64 (*.f64 x.re x.re) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.im)))) |
(* (pow x.im 3) x.re) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 3) (+ (* -1 x.re) (/ (pow x.re 2) x.im)))) |
(*.f64 (*.f64 x.im x.im) (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))) |
(* -1 (* (pow x.im 3) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* -1 (pow x.re 2))) x.im))))) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 x.re (/.f64 (*.f64 (*.f64 x.re x.re) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.im))) |
(* -1 (* (pow x.im 3) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x.re 4) x.im)) (pow x.re 3)) x.im)) (* -1 (pow x.re 2))) x.im))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (*.f64 x.re x.re) (/.f64 (-.f64 (*.f64 x.re (*.f64 x.re x.re)) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) x.im)) x.im)) x.im) x.re) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))) |
Compiled 34760 to 2452 computations (92.9% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1210 | 5 | 1215 |
| Fresh | 3 | 3 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1215 | 13 | 1228 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.0% | (-.f64 (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (-.f64 x.re x.im))) (-.f64 x.re x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| ▶ | 90.8% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| ▶ | 41.5% | (*.f64 (/.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) x.re) |
| 38.9% | (*.f64 (/.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal 3 binary64))))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)))) | |
| ✓ | 89.4% | (*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) x.re) |
| ▶ | 57.1% | (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im) |
| 89.3% | (*.f64 (*.f64 (*.f64 x.im (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im))) x.re) x.im) | |
| ✓ | 50.2% | (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)) |
| 57.1% | (*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im) | |
| ▶ | 57.0% | (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) |
| ✓ | 66.9% | (*.f64 (*.f64 x.im x.im) (*.f64 x.re (+.f64 (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -3 binary64)))) |
| ✓ | 50.2% | (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)) |
| ✓ | 55.6% | (*.f64 x.re (*.f64 x.re x.re)) |
Compiled 367 to 205 computations (44.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) x.re) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
| ✓ | cost-diff | 512 | (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (-.f64 x.re x.im))) (-.f64 x.re x.im)) |
| ✓ | cost-diff | 768 | (-.f64 (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (-.f64 x.re x.im))) (-.f64 x.re x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| ✓ | cost-diff | 0 | (*.f64 x.re x.im) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im) |
| ✓ | cost-diff | 0 | (*.f64 x.im #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x.re x.im) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 x.re x.im)))) |
| ✓ | cost-diff | 512 | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 3684× | *-lowering-*.f32 |
| 3684× | *-lowering-*.f64 |
| 1838× | fma-lowering-fma.f32 |
| 1838× | fma-lowering-fma.f64 |
| 1786× | sum3-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 288 |
| 1 | 124 | 264 |
| 2 | 357 | 230 |
| 3 | 1021 | 228 |
| 4 | 4809 | 226 |
| 0 | 8397 | 226 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ 1 (/ 1 (* (* x.re (- x.re x.im)) (+ x.re x.im)))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
(/ 1 (/ 1 (* (* x.re (- x.re x.im)) (+ x.re x.im)))) |
1 |
(/ 1 (* (* x.re (- x.re x.im)) (+ x.re x.im))) |
(* (* x.re (- x.re 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.re x.im) (* x.im x.re)) x.im) |
(+ (* x.re x.im) (* x.im x.re)) |
(* x.re x.im) |
(* x.im x.re) |
(* (* x.re x.im) (* x.im -3)) |
(* x.re x.im) |
x.re |
x.im |
(* x.im -3) |
-3 |
(* (* (* x.re x.im) -3) x.im) |
(* (* x.re x.im) -3) |
(* x.re x.im) |
x.re |
x.im |
-3 |
(- (/ (* (* x.re x.re) (* x.re (- x.re x.im))) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
(/ (* (* x.re x.re) (* x.re (- x.re x.im))) (- x.re x.im)) |
(* (* x.re x.re) (* x.re (- x.re x.im))) |
(* x.re x.re) |
x.re |
(* x.re (- x.re x.im)) |
(- x.re x.im) |
x.im |
(* (+ (* x.re x.im) (* x.im x.re)) x.im) |
(+ (* x.re x.im) (* x.im x.re)) |
(* x.re x.im) |
(* x.im x.re) |
(* (/ (- (* x.re (* x.re (* x.re x.re))) (* 9 (* x.im (* x.im (* x.im x.im))))) (- (* x.re x.re) (* -3 (* x.im x.im)))) x.re) |
(/ (- (* x.re (* x.re (* x.re x.re))) (* 9 (* x.im (* x.im (* x.im x.im))))) (- (* x.re x.re) (* -3 (* x.im x.im)))) |
(- (* x.re (* x.re (* x.re x.re))) (* 9 (* x.im (* x.im (* x.im x.im))))) |
(* x.re (* x.re (* x.re x.re))) |
x.re |
(* x.re (* x.re x.re)) |
(* x.re x.re) |
(* 9 (* x.im (* x.im (* x.im x.im)))) |
9 |
(* x.im (* x.im (* x.im x.im))) |
x.im |
(* x.im (* x.im x.im)) |
(* x.im x.im) |
(- (* x.re x.re) (* -3 (* x.im x.im))) |
(* -3 (* x.im x.im)) |
-3 |
| Outputs |
|---|
(- (/ 1 (/ 1 (* (* x.re (- x.re x.im)) (+ x.re x.im)))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
(*.f64 x.re (-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))) |
(/ 1 (/ 1 (* (* x.re (- x.re x.im)) (+ x.re x.im)))) |
(*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) |
1 |
#s(literal 1 binary64) |
(/ 1 (* (* x.re (- x.re x.im)) (+ x.re x.im))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)))) |
(* (* x.re (- x.re x.im)) (+ x.re x.im)) |
(*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) |
(* x.re (- x.re x.im)) |
(*.f64 x.re (-.f64 x.re x.im)) |
x.re |
(- x.re x.im) |
(-.f64 x.re x.im) |
x.im |
(+ x.re x.im) |
(+.f64 x.re x.im) |
(* (+ (* x.re x.im) (* x.im x.re)) x.im) |
(*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal 2 binary64)) |
(+ (* x.re x.im) (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* x.re x.im) |
(*.f64 x.re x.im) |
(* x.im x.re) |
(*.f64 x.re x.im) |
(* (* x.re x.im) (* x.im -3)) |
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) |
(* x.re x.im) |
(*.f64 x.re x.im) |
x.re |
x.im |
(* x.im -3) |
(*.f64 x.im #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(* (* (* x.re x.im) -3) x.im) |
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) |
(* (* x.re x.im) -3) |
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) |
(* x.re x.im) |
(*.f64 x.re x.im) |
x.re |
x.im |
-3 |
#s(literal -3 binary64) |
(- (/ (* (* x.re x.re) (* x.re (- x.re x.im))) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
(*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))) |
(/ (* (* x.re x.re) (* x.re (- x.re x.im))) (- x.re x.im)) |
(*.f64 x.re (*.f64 x.re x.re)) |
(* (* x.re x.re) (* x.re (- x.re x.im))) |
(*.f64 x.re (*.f64 x.re (*.f64 x.re (-.f64 x.re x.im)))) |
(* x.re x.re) |
(*.f64 x.re x.re) |
x.re |
(* x.re (- x.re x.im)) |
(*.f64 x.re (-.f64 x.re x.im)) |
(- x.re x.im) |
(-.f64 x.re x.im) |
x.im |
(* (+ (* x.re x.im) (* x.im x.re)) x.im) |
(*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal 2 binary64)) |
(+ (* x.re x.im) (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* x.re x.im) |
(*.f64 x.re x.im) |
(* x.im x.re) |
(*.f64 x.re x.im) |
(* (/ (- (* x.re (* x.re (* x.re x.re))) (* 9 (* x.im (* x.im (* x.im x.im))))) (- (* x.re x.re) (* -3 (* x.im x.im)))) x.re) |
(*.f64 x.re (/.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im #s(literal -9 binary64)))))) (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal 3 binary64))))) |
(/ (- (* x.re (* x.re (* x.re x.re))) (* 9 (* x.im (* x.im (* x.im x.im))))) (- (* x.re x.re) (* -3 (* x.im x.im)))) |
(/.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im #s(literal -9 binary64)))))) (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal 3 binary64)))) |
(- (* x.re (* x.re (* x.re x.re))) (* 9 (* x.im (* x.im (* x.im x.im))))) |
(+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im #s(literal -9 binary64)))))) |
(* x.re (* x.re (* x.re x.re))) |
(*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) |
x.re |
(* x.re (* x.re x.re)) |
(*.f64 x.re (*.f64 x.re x.re)) |
(* x.re x.re) |
(*.f64 x.re x.re) |
(* 9 (* x.im (* x.im (* x.im x.im)))) |
(*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) |
9 |
#s(literal 9 binary64) |
(* x.im (* x.im (* x.im x.im))) |
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) |
x.im |
(* x.im (* x.im x.im)) |
(*.f64 x.im (*.f64 x.im x.im)) |
(* x.im x.im) |
(*.f64 x.im x.im) |
(- (* x.re x.re) (* -3 (* x.im x.im))) |
(+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal 3 binary64))) |
(* -3 (* x.im x.im)) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
-3 |
#s(literal -3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
| ✓ | accuracy | 93.0% | (*.f64 (/.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) x.re) |
| ✓ | accuracy | 88.2% | (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) |
| ✓ | accuracy | 34.5% | (/.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) |
| ✓ | accuracy | 99.7% | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 x.re x.re) (*.f64 x.re (-.f64 x.re x.im))) |
| ✓ | accuracy | 92.2% | (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (-.f64 x.re x.im))) (-.f64 x.re x.im)) |
| ✓ | accuracy | 87.6% | (-.f64 (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (-.f64 x.re x.im))) (-.f64 x.re x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| ✓ | accuracy | 100.0% | (*.f64 x.re x.im) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x.re x.im) |
| ✓ | accuracy | 100.0% | (*.f64 x.im #s(literal -3 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 x.re x.im))) |
| ✓ | accuracy | 99.7% | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 x.re x.im)))) |
| ✓ | accuracy | 93.3% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 132.0ms | 256× | 0 | valid |
Compiled 339 to 36 computations (89.4% saved)
ival-mult: 31.0ms (44.2% of total)ival-sub: 29.0ms (41.3% of total)ival-div: 7.0ms (10% of total)ival-add: 3.0ms (4.3% of total)const: 1.0ms (1.4% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (/ 1 (/ 1 (* (* x.re (- x.re x.im)) (+ x.re x.im)))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))> |
#<alt (/ 1 (/ 1 (* (* x.re (- x.re x.im)) (+ x.re x.im))))> |
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.im)> |
#<alt (+ (* x.re x.im) (* x.im x.re))> |
#<alt (* (* x.re x.im) (* x.im -3))> |
#<alt (* x.re x.im)> |
#<alt (* x.im -3)> |
#<alt (* (* (* x.re x.im) -3) x.im)> |
#<alt (* (* x.re x.im) -3)> |
#<alt (- (/ (* (* x.re x.re) (* x.re (- x.re x.im))) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))> |
#<alt (/ (* (* x.re x.re) (* x.re (- x.re x.im))) (- x.re x.im))> |
#<alt (* (/ (- (* x.re (* x.re (* x.re x.re))) (* 9 (* x.im (* x.im (* x.im x.im))))) (- (* x.re x.re) (* -3 (* x.im x.im)))) x.re)> |
#<alt (/ (- (* x.re (* x.re (* x.re x.re))) (* 9 (* x.im (* x.im (* x.im x.im))))) (- (* x.re x.re) (* -3 (* x.im x.im))))> |
#<alt (- (* x.re (* x.re (* x.re x.re))) (* 9 (* x.im (* x.im (* x.im x.im)))))> |
#<alt (* x.re (* x.re (* x.re x.re)))> |
#<alt (/ 1 (* (* x.re (- x.re x.im)) (+ x.re x.im)))> |
#<alt (* (* x.re x.re) (* x.re (- x.re x.im)))> |
#<alt (* -3 (* x.im x.im))> |
| Outputs |
|---|
#<alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))> |
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))> |
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))> |
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))> |
#<alt (pow x.re 3)> |
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))> |
#<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)))))> |
#<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)))))> |
#<alt (pow x.re 3)> |
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))> |
#<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)))> |
#<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)))> |
#<alt (pow x.re 3)> |
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))> |
#<alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))> |
#<alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))> |
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))> |
#<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)))) (* 2 x.re)))> |
#<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)))) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))> |
#<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)))> |
#<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)))> |
#<alt (* -1 (* (pow x.im 2) x.re))> |
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))> |
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))> |
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))> |
#<alt (pow x.re 3)> |
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))> |
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))> |
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))> |
#<alt (pow x.re 3)> |
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))> |
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))> |
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))> |
#<alt (pow x.re 3)> |
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))> |
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))> |
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))> |
#<alt (* -1 (* (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))> |
#<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)))))> |
#<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)))))> |
#<alt (* -1 (* (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))> |
#<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))))> |
#<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))))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* (pow x.im 2) x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 x.im)> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -3 (* x.im x.re))> |
#<alt (* -2 (* (pow x.im 2) x.re))> |
#<alt (* x.re (- (pow x.re 2) (* 2 (pow x.im 2))))> |
#<alt (* x.re (- (pow x.re 2) (* 2 (pow x.im 2))))> |
#<alt (* x.re (- (pow x.re 2) (* 2 (pow x.im 2))))> |
#<alt (pow x.re 3)> |
#<alt (* (pow x.re 3) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (pow x.re 3)> |
#<alt (* -1 (* (pow x.re 3) (- (* 2 (/ (pow x.im 2) (pow x.re 2))) 1)))> |
#<alt (* -1 (* (pow x.re 3) (- (* 2 (/ (pow x.im 2) (pow x.re 2))) 1)))> |
#<alt (* -1 (* (pow x.re 3) (- (* 2 (/ (pow x.im 2) (pow x.re 2))) 1)))> |
#<alt (pow x.re 3)> |
#<alt (+ (* -2 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (+ (* -2 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (+ (* -2 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (* -2 (* (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 3) (pow x.im 2)) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 3) (pow x.im 2)) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 3) (pow x.im 2)) (* 2 x.re)))> |
#<alt (* -2 (* (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 3) (pow x.im 2)) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 3) (pow x.im 2)) (* 2 x.re)))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 3) (pow x.im 2)) (* 2 x.re)))> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (pow x.re 3)> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))> |
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))> |
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))> |
#<alt (pow x.re 3)> |
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (pow x.re 3)> |
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))> |
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))> |
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))> |
#<alt (pow x.re 3)> |
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* -3 (* (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))> |
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))> |
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))> |
#<alt (pow x.re 2)> |
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (pow x.re 2)> |
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (pow x.re 2)> |
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))> |
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))> |
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))> |
#<alt (* -9 (pow x.im 4))> |
#<alt (- (pow x.re 4) (* 9 (pow x.im 4)))> |
#<alt (- (pow x.re 4) (* 9 (pow x.im 4)))> |
#<alt (- (pow x.re 4) (* 9 (pow x.im 4)))> |
#<alt (pow x.re 4)> |
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))> |
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))> |
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))> |
#<alt (pow x.re 4)> |
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))> |
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))> |
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))> |
#<alt (pow x.re 4)> |
#<alt (+ (* -9 (pow x.im 4)) (pow x.re 4))> |
#<alt (+ (* -9 (pow x.im 4)) (pow x.re 4))> |
#<alt (+ (* -9 (pow x.im 4)) (pow x.re 4))> |
#<alt (* -9 (pow x.im 4))> |
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))> |
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))> |
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))> |
#<alt (* -9 (pow x.im 4))> |
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))> |
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))> |
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (pow x.re 4)> |
#<alt (/ -1 (* (pow x.im 2) x.re))> |
#<alt (/ (- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))) x.re)> |
#<alt (/ (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) x.re)> |
#<alt (/ (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) x.re)> |
#<alt (/ 1 (pow x.re 3))> |
#<alt (/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 3))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))) (pow x.re 2)))) (+ (* -1 (/ x.im x.re)) (/ x.im x.re))) (pow x.re 3))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))))) (* (pow x.im 2) (+ x.im (* -1 x.im)))) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2))) (/ x.im x.re))))) (pow x.re 3))> |
#<alt (/ 1 (pow x.re 3))> |
#<alt (* -1 (/ (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1) (pow x.re 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ (/ (pow x.im 2) x.re) (/ (pow (+ x.im (* -1 x.im)) 2) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.im (* -1 x.im)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re) (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 3)))> |
#<alt (/ 1 (pow x.re 3))> |
#<alt (+ (/ 1 (pow x.re 3)) (/ (pow x.im 2) (pow x.re 5)))> |
#<alt (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 5)) (/ (pow x.im 2) (pow x.re 7)))) (/ 1 (pow x.re 3)))> |
#<alt (+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 7)) (/ (pow x.im 2) (pow x.re 9)))) (/ 1 (pow x.re 5)))) (/ 1 (pow x.re 3)))> |
#<alt (/ -1 (* (pow x.im 2) x.re))> |
#<alt (/ (- (* -1 (/ x.re (pow x.im 2))) (/ 1 x.re)) (pow x.im 2))> |
#<alt (/ (- (* -1 (/ (* x.re (+ x.re (* -1 x.re))) (pow x.im 3))) (+ (/ 1 x.re) (/ x.re (pow x.im 2)))) (pow x.im 2))> |
#<alt (/ (- (* -1 (/ (+ (* x.re (pow (+ x.re (* -1 x.re)) 2)) (pow x.re 3)) (pow x.im 4))) (+ (/ 1 x.re) (+ (/ x.re (pow x.im 2)) (/ (* x.re (+ x.re (* -1 x.re))) (pow x.im 3))))) (pow x.im 2))> |
#<alt (/ -1 (* (pow x.im 2) x.re))> |
#<alt (/ (- (* -1 (/ x.re (pow x.im 2))) (/ 1 x.re)) (pow x.im 2))> |
#<alt (/ (- (/ (* x.re (+ x.re (* -1 x.re))) (pow x.im 3)) (+ (/ 1 x.re) (/ x.re (pow x.im 2)))) (pow x.im 2))> |
#<alt (/ (- (* -1 (/ (- (+ (/ (* x.re (pow (+ x.re (* -1 x.re)) 2)) x.im) (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ (/ 1 x.re) (/ x.re (pow x.im 2)))) (pow x.im 2))> |
#<alt (* -1 (* x.im (pow x.re 3)))> |
#<alt (* (pow x.re 3) (+ x.re (* -1 x.im)))> |
#<alt (* (pow x.re 3) (+ x.re (* -1 x.im)))> |
#<alt (* (pow x.re 3) (+ x.re (* -1 x.im)))> |
#<alt (pow x.re 4)> |
#<alt (* (pow x.re 4) (+ 1 (* -1 (/ x.im x.re))))> |
#<alt (* (pow x.re 4) (+ 1 (* -1 (/ x.im x.re))))> |
#<alt (* (pow x.re 4) (+ 1 (* -1 (/ x.im x.re))))> |
#<alt (pow x.re 4)> |
#<alt (* (pow x.re 4) (+ 1 (* -1 (/ x.im x.re))))> |
#<alt (* (pow x.re 4) (+ 1 (* -1 (/ x.im x.re))))> |
#<alt (* (pow x.re 4) (+ 1 (* -1 (/ x.im x.re))))> |
#<alt (pow x.re 4)> |
#<alt (+ (* -1 (* x.im (pow x.re 3))) (pow x.re 4))> |
#<alt (+ (* -1 (* x.im (pow x.re 3))) (pow x.re 4))> |
#<alt (+ (* -1 (* x.im (pow x.re 3))) (pow x.re 4))> |
#<alt (* -1 (* x.im (pow x.re 3)))> |
#<alt (* x.im (+ (* -1 (pow x.re 3)) (/ (pow x.re 4) x.im)))> |
#<alt (* x.im (+ (* -1 (pow x.re 3)) (/ (pow x.re 4) x.im)))> |
#<alt (* x.im (+ (* -1 (pow x.re 3)) (/ (pow x.re 4) x.im)))> |
#<alt (* -1 (* x.im (pow x.re 3)))> |
#<alt (* -1 (* x.im (+ (* -1 (/ (pow x.re 4) x.im)) (pow x.re 3))))> |
#<alt (* -1 (* x.im (+ (* -1 (/ (pow x.re 4) x.im)) (pow x.re 3))))> |
#<alt (* -1 (* x.im (+ (* -1 (/ (pow x.re 4) x.im)) (pow x.re 3))))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
#<alt (* -3 (pow x.im 2))> |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x.re | @ | -inf | (* (* (* x.re x.im) -3) x.im) |
| 1.0ms | x.im | @ | 0 | (/ 1 (* (* x.re (- x.re x.im)) (+ x.re x.im))) |
| 1.0ms | x.re | @ | inf | (/ 1 (* (* x.re (- x.re x.im)) (+ x.re x.im))) |
| 0.0ms | x.re | @ | inf | (* (/ (- (* x.re (* x.re (* x.re x.re))) (* 9 (* x.im (* x.im (* x.im x.im))))) (- (* x.re x.re) (* -3 (* x.im x.im)))) x.re) |
| 0.0ms | x.re | @ | 0 | (/ 1 (* (* x.re (- x.re x.im)) (+ x.re x.im))) |
| 1× | batch-egg-rewrite |
| 3578× | *-lowering-*.f32 |
| 3578× | *-lowering-*.f64 |
| 2416× | /-lowering-/.f32 |
| 2416× | /-lowering-/.f64 |
| 1598× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 177 |
| 1 | 246 | 125 |
| 2 | 2128 | 121 |
| 0 | 8195 | 121 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ 1 (/ 1 (* (* x.re (- x.re x.im)) (+ x.re x.im)))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
(/ 1 (/ 1 (* (* x.re (- x.re x.im)) (+ x.re x.im)))) |
(* (+ (* x.re x.im) (* x.im x.re)) x.im) |
(+ (* x.re x.im) (* x.im x.re)) |
(* (* x.re x.im) (* x.im -3)) |
(* x.re x.im) |
(* x.im -3) |
(* (* (* x.re x.im) -3) x.im) |
(* (* x.re x.im) -3) |
(- (/ (* (* x.re x.re) (* x.re (- x.re x.im))) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
(/ (* (* x.re x.re) (* x.re (- x.re x.im))) (- x.re x.im)) |
(* (/ (- (* x.re (* x.re (* x.re x.re))) (* 9 (* x.im (* x.im (* x.im x.im))))) (- (* x.re x.re) (* -3 (* x.im x.im)))) x.re) |
(/ (- (* x.re (* x.re (* x.re x.re))) (* 9 (* x.im (* x.im (* x.im x.im))))) (- (* x.re x.re) (* -3 (* x.im x.im)))) |
(- (* x.re (* x.re (* x.re x.re))) (* 9 (* x.im (* x.im (* x.im x.im))))) |
(* x.re (* x.re (* x.re x.re))) |
(/ 1 (* (* x.re (- x.re x.im)) (+ x.re x.im))) |
(* (* x.re x.re) (* x.re (- x.re x.im))) |
(* -3 (* x.im x.im)) |
| Outputs |
|---|
(+.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(+.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)))) |
(+.f64 (*.f64 x.re (*.f64 x.re (-.f64 x.re x.im))) (+.f64 (*.f64 x.re (*.f64 (-.f64 x.re x.im) x.im)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(+.f64 (+.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(-.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (+.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)))) (+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))))) (*.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))) (/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (*.f64 x.im x.im))) (+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))))) (*.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))))) (+.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) (+.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 x.re (*.f64 x.re (-.f64 x.re x.im)) (+.f64 (*.f64 x.re (*.f64 (-.f64 x.re x.im) x.im)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 x.re (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal 1 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)))) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re x.re) (+.f64 (*.f64 x.re (*.f64 (-.f64 x.re x.im) x.im)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 x.re (-.f64 x.re x.im)) x.re (+.f64 (*.f64 x.re (*.f64 (-.f64 x.re x.im) x.im)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 x.re x.im) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 x.re (-.f64 x.re x.im)) (/.f64 (+.f64 x.re x.im) #s(literal 1 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (+.f64 x.re x.im) (/.f64 (*.f64 x.re (-.f64 x.re x.im)) #s(literal 1 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) #s(literal 1 binary64) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)))) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x.im) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)))) |
(fma.f64 (*.f64 x.re x.re) (-.f64 x.re x.im) (+.f64 (*.f64 x.re (*.f64 (-.f64 x.re x.im) x.im)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (neg.f64 (+.f64 x.re x.im))) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)))) |
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))))) (*.f64 x.im (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) (+.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (+.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (*.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))))) (*.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))) (+.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) #s(literal 1/2 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) x.re) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.re x.im) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im)))) (+.f64 x.re x.im) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))))) (*.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))))) (+.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (+.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (*.f64 x.im x.im)))))) |
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(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))) (*.f64 (*.f64 x.im (*.f64 (*.f64 x.im (*.f64 x.im x.im)) #s(literal 9 binary64))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 (*.f64 x.im (*.f64 x.im x.im)) #s(literal 9 binary64)))))) (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) #s(literal -729 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 (*.f64 x.im (*.f64 x.im x.im)) #s(literal 9 binary64)))) (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))) (*.f64 #s(literal 81 binary64) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) #s(literal -729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))) (*.f64 (*.f64 x.im (*.f64 (*.f64 x.im (*.f64 x.im x.im)) #s(literal 9 binary64))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 (*.f64 x.im (*.f64 x.im x.im)) #s(literal 9 binary64)))))))) |
(*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal 3 binary64)))) |
(*.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))) (*.f64 #s(literal 81 binary64) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 (*.f64 x.im (*.f64 x.im x.im)) #s(literal 9 binary64)))))) |
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x.re))) |
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.re)) #s(literal 2 binary64))) |
(pow.f64 x.re #s(literal 4 binary64)) |
(pow.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) |
(*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) x.re) |
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.re x.im)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.re x.im))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.re x.im)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (neg.f64 (+.f64 x.re x.im)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im)))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.re x.im)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 #s(literal 1 binary64) (+.f64 x.re x.im))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im)))) (neg.f64 (+.f64 x.re x.im))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im)))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 x.re x.im)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))) |
(/.f64 (/.f64 #s(literal 1 binary64) x.re) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))))) (neg.f64 (neg.f64 (+.f64 x.re x.im)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im))) (neg.f64 (*.f64 x.re (-.f64 x.re x.im)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x.re)) (neg.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.re x.im)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))))) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (+.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.re x.im))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.re x.im)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im)) (pow.f64 (*.f64 x.re (+.f64 x.re x.im)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))) (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))) (pow.f64 (/.f64 (+.f64 x.re x.im) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) x.re)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im)))) |
(*.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x.re) (pow.f64 (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im)))) (+.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 x.im x.re)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (-.f64 x.re x.im)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x.re) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 x.im x.re))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) #s(literal 1 binary64)) (pow.f64 (-.f64 x.re x.im) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.re) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 x.re x.im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 x.re x.im) x.re) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im))) |
(+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (-.f64 #s(literal 0 binary64) x.im))) |
(+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (-.f64 #s(literal 0 binary64) x.im) (*.f64 x.re (*.f64 x.re x.re)))) |
(fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (-.f64 #s(literal 0 binary64) x.im))) |
(fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (-.f64 #s(literal 0 binary64) x.im) (*.f64 x.re (*.f64 x.re x.re)))) |
(fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (-.f64 #s(literal 0 binary64) x.im))) |
(fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (*.f64 (-.f64 #s(literal 0 binary64) x.im) (*.f64 x.re (*.f64 x.re x.re)))) |
(fma.f64 (*.f64 x.re (*.f64 x.re x.re)) x.re (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (-.f64 #s(literal 0 binary64) x.im))) |
(fma.f64 (*.f64 x.re (*.f64 x.re x.re)) x.re (*.f64 (-.f64 #s(literal 0 binary64) x.im) (*.f64 x.re (*.f64 x.re x.re)))) |
(/.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (-.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im)))) (+.f64 (*.f64 x.re x.re) (*.f64 x.im (+.f64 x.re x.im)))) |
(/.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (+.f64 x.re x.im)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (-.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im (+.f64 x.re x.im))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (neg.f64 (+.f64 x.re x.im))) |
(*.f64 x.re (*.f64 x.re (*.f64 x.re (-.f64 x.re x.im)))) |
(*.f64 (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re x.re))) |
(*.f64 (*.f64 x.re (-.f64 x.re x.im)) (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.re (-.f64 x.re x.im))) |
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (-.f64 x.re x.im)) |
(*.f64 (*.f64 x.re (*.f64 x.re (-.f64 x.re x.im))) x.re) |
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
(*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im) |
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) |
| 1× | egg-herbie |
| 3230× | *-lowering-*.f32 |
| 3230× | *-lowering-*.f64 |
| 1538× | times-frac |
| 1326× | fnmadd-define |
| 1294× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 301 | 3445 |
| 1 | 1021 | 2766 |
| 2 | 4259 | 2655 |
| 0 | 8079 | 2655 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)))) |
(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) |
(* -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) |
(+ (* 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.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) (* -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)) |
(* 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)))))) |
(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))))) |
(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))) |
(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)) |
(* -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))))) |
(* -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 (* (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)) |
(* 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)) |
(* 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)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* -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) 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) 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) 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) 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)) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -3 x.im) |
(* -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) 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) 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) 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) 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 x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -3 (* x.im x.re)) |
(* -2 (* (pow x.im 2) x.re)) |
(* x.re (- (pow x.re 2) (* 2 (pow x.im 2)))) |
(* x.re (- (pow x.re 2) (* 2 (pow x.im 2)))) |
(* x.re (- (pow x.re 2) (* 2 (pow x.im 2)))) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 3) |
(* -1 (* (pow x.re 3) (- (* 2 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(* -1 (* (pow x.re 3) (- (* 2 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(* -1 (* (pow x.re 3) (- (* 2 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(pow x.re 3) |
(+ (* -2 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(+ (* -2 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(+ (* -2 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(* -2 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (- (/ (pow x.re 3) (pow x.im 2)) (* 2 x.re))) |
(* (pow x.im 2) (- (/ (pow x.re 3) (pow x.im 2)) (* 2 x.re))) |
(* (pow x.im 2) (- (/ (pow x.re 3) (pow x.im 2)) (* 2 x.re))) |
(* -2 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (- (/ (pow x.re 3) (pow x.im 2)) (* 2 x.re))) |
(* (pow x.im 2) (- (/ (pow x.re 3) (pow x.im 2)) (* 2 x.re))) |
(* (pow x.im 2) (- (/ (pow x.re 3) (pow x.im 2)) (* 2 x.re))) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(pow x.re 3) |
(* -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))) |
(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) |
(* -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) |
(+ (* -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)) |
(* -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) 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)) |
(+ (* -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.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))))) |
(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))))) |
(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)) |
(* -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)) |
(* -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)) |
(* -9 (pow x.im 4)) |
(- (pow x.re 4) (* 9 (pow x.im 4))) |
(- (pow x.re 4) (* 9 (pow x.im 4))) |
(- (pow x.re 4) (* 9 (pow x.im 4))) |
(pow x.re 4) |
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(pow x.re 4) |
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4))))) |
(pow x.re 4) |
(+ (* -9 (pow x.im 4)) (pow x.re 4)) |
(+ (* -9 (pow x.im 4)) (pow x.re 4)) |
(+ (* -9 (pow x.im 4)) (pow x.re 4)) |
(* -9 (pow x.im 4)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9)) |
(* -9 (pow x.im 4)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9)) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(pow x.re 4) |
(/ -1 (* (pow x.im 2) x.re)) |
(/ (- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))) x.re) |
(/ (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) x.re) |
(/ (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) x.re) |
(/ 1 (pow x.re 3)) |
(/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 3)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))) (pow x.re 2)))) (+ (* -1 (/ x.im x.re)) (/ x.im x.re))) (pow x.re 3)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))))) (* (pow x.im 2) (+ x.im (* -1 x.im)))) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2))) (/ x.im x.re))))) (pow x.re 3)) |
(/ 1 (pow x.re 3)) |
(* -1 (/ (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1) (pow x.re 3))) |
(* -1 (/ (- (* -1 (/ (- (+ (/ (pow x.im 2) x.re) (/ (pow (+ x.im (* -1 x.im)) 2) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.im (* -1 x.im)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re) (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 3))) |
(/ 1 (pow x.re 3)) |
(+ (/ 1 (pow x.re 3)) (/ (pow x.im 2) (pow x.re 5))) |
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 5)) (/ (pow x.im 2) (pow x.re 7)))) (/ 1 (pow x.re 3))) |
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 7)) (/ (pow x.im 2) (pow x.re 9)))) (/ 1 (pow x.re 5)))) (/ 1 (pow x.re 3))) |
(/ -1 (* (pow x.im 2) x.re)) |
(/ (- (* -1 (/ x.re (pow x.im 2))) (/ 1 x.re)) (pow x.im 2)) |
(/ (- (* -1 (/ (* x.re (+ x.re (* -1 x.re))) (pow x.im 3))) (+ (/ 1 x.re) (/ x.re (pow x.im 2)))) (pow x.im 2)) |
(/ (- (* -1 (/ (+ (* x.re (pow (+ x.re (* -1 x.re)) 2)) (pow x.re 3)) (pow x.im 4))) (+ (/ 1 x.re) (+ (/ x.re (pow x.im 2)) (/ (* x.re (+ x.re (* -1 x.re))) (pow x.im 3))))) (pow x.im 2)) |
(/ -1 (* (pow x.im 2) x.re)) |
(/ (- (* -1 (/ x.re (pow x.im 2))) (/ 1 x.re)) (pow x.im 2)) |
(/ (- (/ (* x.re (+ x.re (* -1 x.re))) (pow x.im 3)) (+ (/ 1 x.re) (/ x.re (pow x.im 2)))) (pow x.im 2)) |
(/ (- (* -1 (/ (- (+ (/ (* x.re (pow (+ x.re (* -1 x.re)) 2)) x.im) (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ (/ 1 x.re) (/ x.re (pow x.im 2)))) (pow x.im 2)) |
(* -1 (* x.im (pow x.re 3))) |
(* (pow x.re 3) (+ x.re (* -1 x.im))) |
(* (pow x.re 3) (+ x.re (* -1 x.im))) |
(* (pow x.re 3) (+ x.re (* -1 x.im))) |
(pow x.re 4) |
(* (pow x.re 4) (+ 1 (* -1 (/ x.im x.re)))) |
(* (pow x.re 4) (+ 1 (* -1 (/ x.im x.re)))) |
(* (pow x.re 4) (+ 1 (* -1 (/ x.im x.re)))) |
(pow x.re 4) |
(* (pow x.re 4) (+ 1 (* -1 (/ x.im x.re)))) |
(* (pow x.re 4) (+ 1 (* -1 (/ x.im x.re)))) |
(* (pow x.re 4) (+ 1 (* -1 (/ x.im x.re)))) |
(pow x.re 4) |
(+ (* -1 (* x.im (pow x.re 3))) (pow x.re 4)) |
(+ (* -1 (* x.im (pow x.re 3))) (pow x.re 4)) |
(+ (* -1 (* x.im (pow x.re 3))) (pow x.re 4)) |
(* -1 (* x.im (pow x.re 3))) |
(* x.im (+ (* -1 (pow x.re 3)) (/ (pow x.re 4) x.im))) |
(* x.im (+ (* -1 (pow x.re 3)) (/ (pow x.re 4) x.im))) |
(* x.im (+ (* -1 (pow x.re 3)) (/ (pow x.re 4) x.im))) |
(* -1 (* x.im (pow x.re 3))) |
(* -1 (* x.im (+ (* -1 (/ (pow x.re 4) x.im)) (pow x.re 3)))) |
(* -1 (* x.im (+ (* -1 (/ (pow x.re 4) x.im)) (pow x.re 3)))) |
(* -1 (* x.im (+ (* -1 (/ (pow x.re 4) x.im)) (pow x.re 3)))) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
(* -3 (pow x.im 2)) |
| Outputs |
|---|
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2)))) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2)))) |
(*.f64 x.re (+.f64 (*.f64 x.re (+.f64 x.re #s(literal 0 binary64))) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2)))) |
(*.f64 x.re (+.f64 (*.f64 x.re (+.f64 x.re #s(literal 0 binary64))) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))) |
(pow x.re 3) |
(*.f64 x.re (*.f64 x.re x.re)) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(*.f64 x.re (*.f64 x.re 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))))) |
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) x.re) 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))))) |
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) x.re) x.re))) |
(pow x.re 3) |
(*.f64 x.re (*.f64 x.re x.re)) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(*.f64 x.re (*.f64 x.re x.re)) |
(* -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 #s(literal 0 binary64) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) x.re) (-.f64 #s(literal 0 binary64) x.re))))) |
(* -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 #s(literal 0 binary64) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) x.re) (-.f64 #s(literal 0 binary64) x.re))))) |
(pow x.re 3) |
(*.f64 x.re (*.f64 x.re x.re)) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(*.f64 x.re (*.f64 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 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #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 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re))) |
(*.f64 (*.f64 x.im x.im) (+.f64 (/.f64 #s(literal 0 binary64) x.im) (*.f64 x.re #s(literal -3 binary64)))) |
(* (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 x.im x.im) (+.f64 (+.f64 (/.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im x.im)) (/.f64 #s(literal 0 binary64) x.im)) (*.f64 x.re #s(literal -3 binary64)))) |
(* (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 x.im x.im) (+.f64 (+.f64 (/.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im x.im)) (/.f64 #s(literal 0 binary64) x.im)) (*.f64 x.re #s(literal -3 binary64)))) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re))) |
(*.f64 (*.f64 x.im x.im) (+.f64 (/.f64 #s(literal 0 binary64) x.im) (*.f64 x.re #s(literal -3 binary64)))) |
(* (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))) |
(*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im x.im))) (*.f64 x.re #s(literal -3 binary64)))) |
(* (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))) |
(*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im x.im))) (*.f64 x.re #s(literal -3 binary64)))) |
(* -1 (* (pow x.im 2) x.re)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im x.im))) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im x.im))) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) |
(*.f64 x.re (-.f64 (*.f64 x.re (+.f64 x.re #s(literal 0 binary64))) (*.f64 x.im x.im))) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) |
(*.f64 x.re (-.f64 (*.f64 x.re (+.f64 x.re #s(literal 0 binary64))) (*.f64 x.im x.im))) |
(pow x.re 3) |
(*.f64 x.re (*.f64 x.re x.re)) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(*.f64 x.re (*.f64 x.re 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))))) |
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 #s(literal -1 binary64) (*.f64 x.re 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))))) |
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 #s(literal -1 binary64) (*.f64 x.re x.re))))) |
(pow x.re 3) |
(*.f64 x.re (*.f64 x.re x.re)) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(*.f64 x.re (*.f64 x.re x.re)) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im x.im) x.re)) x.re)))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im x.im) x.re)) x.re)))) |
(pow x.re 3) |
(*.f64 x.re (*.f64 x.re x.re)) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(*.f64 x.re (*.f64 x.re x.re)) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(-.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.im x.im))) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(-.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 2) x.re)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im x.im))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))) |
(*.f64 x.im (*.f64 x.im (-.f64 (/.f64 #s(literal 0 binary64) x.im) 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))))) |
(*.f64 (*.f64 x.im x.im) (+.f64 (-.f64 (/.f64 #s(literal 0 binary64) x.im) x.re) (/.f64 (*.f64 x.re (*.f64 x.re 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))))) |
(*.f64 (*.f64 x.im x.im) (+.f64 (-.f64 (/.f64 #s(literal 0 binary64) x.im) x.re) (/.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im x.im)))) |
(* -1 (* (pow x.im 2) x.re)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im x.im))) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))) |
(*.f64 x.im (*.f64 x.im (-.f64 (/.f64 #s(literal 0 binary64) x.im) 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)))) |
(*.f64 x.im (*.f64 x.im (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im x.im))) 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)))) |
(*.f64 x.im (*.f64 x.im (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im x.im))) x.re))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* 2 (* x.im x.re)) |
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
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(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) |
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(*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) |
(* (pow x.re 4) (+ 1 (* -1 (/ x.im x.re)))) |
(*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) |
(* (pow x.re 4) (+ 1 (* -1 (/ x.im x.re)))) |
(*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) |
(pow x.re 4) |
(*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) |
(+ (* -1 (* x.im (pow x.re 3))) (pow x.re 4)) |
(*.f64 (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re x.re))) |
(+ (* -1 (* x.im (pow x.re 3))) (pow x.re 4)) |
(*.f64 (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re x.re))) |
(+ (* -1 (* x.im (pow x.re 3))) (pow x.re 4)) |
(*.f64 (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re x.re))) |
(* -1 (* x.im (pow x.re 3))) |
(*.f64 (-.f64 #s(literal 0 binary64) x.im) (*.f64 x.re (*.f64 x.re x.re))) |
(* x.im (+ (* -1 (pow x.re 3)) (/ (pow x.re 4) x.im))) |
(*.f64 x.im (-.f64 (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) x.im) (*.f64 x.re (*.f64 x.re x.re)))) |
(* x.im (+ (* -1 (pow x.re 3)) (/ (pow x.re 4) x.im))) |
(*.f64 x.im (-.f64 (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) x.im) (*.f64 x.re (*.f64 x.re x.re)))) |
(* x.im (+ (* -1 (pow x.re 3)) (/ (pow x.re 4) x.im))) |
(*.f64 x.im (-.f64 (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) x.im) (*.f64 x.re (*.f64 x.re x.re)))) |
(* -1 (* x.im (pow x.re 3))) |
(*.f64 (-.f64 #s(literal 0 binary64) x.im) (*.f64 x.re (*.f64 x.re x.re))) |
(* -1 (* x.im (+ (* -1 (/ (pow x.re 4) x.im)) (pow x.re 3)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re x.re)) (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) x.im)))) |
(* -1 (* x.im (+ (* -1 (/ (pow x.re 4) x.im)) (pow x.re 3)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re x.re)) (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) x.im)))) |
(* -1 (* x.im (+ (* -1 (/ (pow x.re 4) x.im)) (pow x.re 3)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re x.re)) (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) x.im)))) |
(* -3 (pow x.im 2)) |
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (pow x.im 2)) |
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (pow x.im 2)) |
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (pow x.im 2)) |
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (pow x.im 2)) |
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (pow x.im 2)) |
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (pow x.im 2)) |
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (pow x.im 2)) |
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (pow x.im 2)) |
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (pow x.im 2)) |
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (pow x.im 2)) |
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
(* -3 (pow x.im 2)) |
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) |
Compiled 43936 to 2564 computations (94.2% saved)
13 alts after pruning (6 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1322 | 4 | 1326 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1326 | 13 | 1339 |
| Status | Accuracy | Program |
|---|---|---|
| 89.4% | (/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) | |
| 90.8% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 x.re x.im)))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) | |
| 28.4% | (*.f64 (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) x.re) | |
| 38.9% | (*.f64 (/.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal 3 binary64))))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)))) | |
| ✓ | 89.4% | (*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) x.re) |
| ✓ | 57.1% | (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im) |
| 89.3% | (*.f64 (*.f64 (*.f64 x.im (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im))) x.re) x.im) | |
| 57.1% | (*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im) | |
| ✓ | 50.2% | (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)) |
| ✓ | 57.0% | (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) |
| ✓ | 66.9% | (*.f64 (*.f64 x.im x.im) (*.f64 x.re (+.f64 (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -3 binary64)))) |
| ✓ | 50.2% | (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)) |
| ✓ | 55.6% | (*.f64 x.re (*.f64 x.re x.re)) |
Compiled 698 to 230 computations (67% saved)
| Inputs |
|---|
(*.f64 x.re (*.f64 x.re x.re)) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) |
(*.f64 x.re (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)) |
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) |
(*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im) |
(*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)) |
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im) |
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im) |
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) |
(*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))) x.re) |
(+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re))) |
(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.re (+.f64 (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -3 binary64)))) |
(*.f64 (*.f64 (*.f64 x.im (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im))) x.re) x.im) |
(*.f64 (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) x.re) |
(-.f64 (*.f64 (+.f64 x.re 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 (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 x.re x.im)))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) |
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (-.f64 x.re x.im))) (-.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.re) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 x.re x.im))) (-.f64 x.re x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 x.re (/.f64 (-.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (-.f64 (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re)))) |
(*.f64 (/.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal 3 binary64))))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) x.re) |
(/.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))) x.re) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))) |
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (/.f64 (*.f64 x.re (-.f64 x.re x.im)) (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)) (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)))) (-.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)))) |
| Outputs |
|---|
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) |
(*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im) |
3 calls:
| 25.0ms | (-.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)) |
| 22.0ms | x.re |
| 8.0ms | x.im |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 2 | x.re |
| 98.3% | 2 | x.im |
| 97.8% | 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 27 to 15 computations (44.4% saved)
| Inputs |
|---|
(*.f64 x.re (*.f64 x.re x.re)) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) |
(*.f64 x.re (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)) |
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) |
(*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im) |
(*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)) |
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im) |
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im) |
| Outputs |
|---|
(*.f64 x.re (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) |
2 calls:
| 3.0ms | x.im |
| 3.0ms | x.re |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.8% | 2 | x.re |
| 84.2% | 2 | x.im |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(*.f64 x.re (*.f64 x.re x.re)) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) |
(*.f64 x.re (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)) |
| Outputs |
|---|
(*.f64 x.re (*.f64 x.re x.re)) |
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) |
2 calls:
| 2.0ms | x.re |
| 2.0ms | x.im |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 2 | x.re |
| 77.4% | 2 | x.im |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(*.f64 x.re (*.f64 x.re x.re)) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
| Outputs |
|---|
(*.f64 x.re (*.f64 x.re x.re)) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
1 calls:
| 2.0ms | x.im |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.4% | 2 | x.im |
Compiled 3 to 2 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 x.re (*.f64 x.re x.re)) |
| Outputs |
|---|
(*.f64 x.re (*.f64 x.re x.re)) |
2 calls:
| 1.0ms | x.im |
| 1.0ms | x.re |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.6% | 1 | x.re |
| 55.6% | 1 | x.im |
Compiled 6 to 4 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 3.9476682938085167e+152 | 4.132525286155229e+153 |
| 8.0ms | 96× | 0 | valid |
Compiled 170 to 111 computations (34.7% saved)
ival-mult: 4.0ms (72% of total)ival-sub: 1.0ms (18% of total)ival-add: 1.0ms (18% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.5095242473767052e+42 | 4.967785054479301e+44 |
| 11.0ms | 112× | 0 | valid |
Compiled 152 to 99 computations (34.9% saved)
ival-mult: 5.0ms (76.7% of total)ival-sub: 1.0ms (15.3% of total)ival-add: 1.0ms (15.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.5095242473767052e+42 | 4.967785054479301e+44 |
| 11.0ms | 112× | 0 | valid |
Compiled 152 to 99 computations (34.9% saved)
ival-mult: 5.0ms (61.3% of total)ival-add: 2.0ms (24.5% of total)ival-sub: 1.0ms (12.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 2.5095242473767052e+42 | 4.967785054479301e+44 |
| 10.0ms | 112× | 0 | valid |
Compiled 152 to 99 computations (34.9% saved)
ival-mult: 5.0ms (76.8% of total)ival-sub: 1.0ms (15.4% of total)ival-add: 1.0ms (15.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 22× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 75 |
| 1 | 43 | 75 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x.im #s(literal 3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) (*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) (*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)) |
(if (<=.f64 x.im #s(literal 4500000000000000124614454596005358353776640 binary64)) (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))) |
(if (<=.f64 x.im #s(literal 5000000000000000069686058479707049565356032 binary64)) (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) |
(if (<=.f64 x.im #s(literal 259999999999999991244274648090963828407271424 binary64)) (*.f64 x.re (*.f64 x.re x.re)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
(*.f64 x.re (*.f64 x.re x.re)) |
| Outputs |
|---|
(if (<=.f64 x.im #s(literal 3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) (*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) (*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)) |
(if (<=.f64 x.im #s(literal 3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) (*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) (*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))))) |
(if (<=.f64 x.im #s(literal 4500000000000000124614454596005358353776640 binary64)) (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))) |
(if (<=.f64 x.im #s(literal 4500000000000000124614454596005358353776640 binary64)) (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.im x.re))) |
(if (<=.f64 x.im #s(literal 5000000000000000069686058479707049565356032 binary64)) (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) |
(if (<=.f64 x.im #s(literal 5000000000000000069686058479707049565356032 binary64)) (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) |
(if (<=.f64 x.im #s(literal 259999999999999991244274648090963828407271424 binary64)) (*.f64 x.re (*.f64 x.re x.re)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
(if (<=.f64 x.im #s(literal 259999999999999991244274648090963828407271424 binary64)) (*.f64 x.re (*.f64 x.re x.re)) (*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))) |
(*.f64 x.re (*.f64 x.re x.re)) |
| 4116× | *-lowering-*.f32 |
| 4116× | *-lowering-*.f64 |
| 4034× | *-lowering-*.f32 |
| 4034× | *-lowering-*.f64 |
| 3544× | /-lowering-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 1410 |
| 1 | 241 | 1137 |
| 2 | 763 | 1125 |
| 3 | 3363 | 1125 |
| 0 | 8770 | 1125 |
| 0 | 32 | 130 |
| 1 | 195 | 105 |
| 2 | 1646 | 101 |
| 0 | 8224 | 101 |
| 0 | 11 | 15 |
| 1 | 35 | 14 |
| 2 | 83 | 13 |
| 3 | 265 | 10 |
| 4 | 909 | 9 |
| 5 | 5329 | 9 |
| 0 | 8135 | 9 |
| 0 | 27 | 149 |
| 1 | 180 | 122 |
| 2 | 1591 | 121 |
| 0 | 8604 | 121 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 186 to 105 computations (43.5% saved)
(negabs x.re)
Compiled 378 to 186 computations (50.8% saved)
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