
Time bar (total: 8.0s)
| 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)| 926.0ms | 8256× | 0 | valid |
ival-mult: 443.0ms (63.1% of total)ival-add: 205.0ms (29.2% of total)ival-sub: 44.0ms (6.3% of total)const: 7.0ms (1% of total)backward-pass: 3.0ms (0.4% of total)| 2× | egg-herbie |
| 2576× | +-lowering-+.f64 |
| 2576× | +-lowering-+.f32 |
| 1618× | fnmadd-define |
| 1464× | *-lowering-*.f32 |
| 1464× | *-lowering-*.f64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 96 |
| 1 | 137 | 86 |
| 2 | 397 | 78 |
| 3 | 1838 | 62 |
| 4 | 7895 | 60 |
| 0 | 11 | 15 |
| 1 | 30 | 14 |
| 2 | 66 | 13 |
| 3 | 179 | 10 |
| 4 | 482 | 9 |
| 5 | 2059 | 8 |
| 6 | 3275 | 8 |
| 7 | 7650 | 8 |
| 0 | 8110 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| Outputs |
|---|
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) |
| Inputs |
|---|
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
(+ (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) x.im) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) (neg x.re))) |
(+ (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) (neg x.im)) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) x.re)) |
(neg (+ (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) x.im) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) (neg x.re)))) |
(neg (+ (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) (neg x.im)) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) x.re))) |
(+ (* (- (* x.im x.im) (* x.re x.re)) x.re) (* (+ (* x.im x.re) (* x.re x.im)) x.im)) |
| Outputs |
|---|
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
(- (* (* (square x.re) x.im) 3) (pow x.im 3)) |
(+ (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) x.im) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) (neg x.re))) |
(- (* (* (square x.re) x.im) 3) (pow x.im 3)) |
(+ (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) (neg x.im)) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) x.re)) |
(- (pow x.im 3) (* (* (square x.re) x.im) 3)) |
(neg (+ (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) x.im) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) (neg x.re)))) |
(- (pow x.im 3) (* (* (square x.re) x.im) 3)) |
(neg (+ (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) (neg x.im)) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) x.re))) |
(- (* (* (square x.re) x.im) 3) (pow x.im 3)) |
(+ (* (- (* x.im x.im) (* x.re x.re)) x.re) (* (+ (* x.im x.re) (* x.re x.im)) x.im)) |
(- (* (* x.re (square x.im)) 3) (pow x.re 3)) |
(abs x.re)
(negabs x.im)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 28 | 0 | - | 0 | - | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 24 | 0 | - | 0 | - | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| 14 | 0 | - | 0 | - | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im 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.re) |
| 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) |
| 96.0ms | 512× | 0 | valid |
Compiled 157 to 35 computations (77.7% saved)
ival-sub: 30.0ms (42.7% of total)ival-mult: 26.0ms (37% of total)ival-add: 13.0ms (18.5% of total)const: 1.0ms (1.4% of total)backward-pass: 0.0ms (0% of total)Compiled 13 to 8 computations (38.5% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 80.3% | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| ▶ | 85.4% | (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) |
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.im) |
| ✓ | 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.re) |
| ✓ | cost-diff | 512 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| ✓ | cost-diff | 0 | (*.f64 x.re #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) |
| ✓ | cost-diff | 0 | (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) |
| 2236× | +-lowering-+.f64 |
| 2236× | +-lowering-+.f32 |
| 1742× | --lowering--.f32 |
| 1742× | --lowering--.f64 |
| 1638× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 75 |
| 1 | 43 | 70 |
| 2 | 92 | 69 |
| 3 | 235 | 69 |
| 4 | 590 | 69 |
| 5 | 2258 | 69 |
| 6 | 3531 | 69 |
| 0 | 8164 | 69 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x.im (- (* x.re (* x.re 3)) (* x.im x.im))) |
x.im |
(- (* x.re (* x.re 3)) (* x.im x.im)) |
(* x.re (* x.re 3)) |
x.re |
(* x.re 3) |
3 |
(* x.im x.im) |
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
(* (- (* x.re x.re) (* x.im x.im)) 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.im) (* x.im x.re)) x.re) |
(+ (* x.re x.im) (* x.im x.re)) |
(* x.re x.im) |
(* x.im x.re) |
| Outputs |
|---|
(* x.im (- (* x.re (* x.re 3)) (* x.im x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
x.im |
(- (* x.re (* x.re 3)) (* x.im x.im)) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) |
(* x.re (* x.re 3)) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) |
x.re |
(* x.re 3) |
(*.f64 x.re #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(* x.im x.im) |
(*.f64 x.im x.im) |
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (- (* x.re x.re) (* x.im x.im)) x.im) |
(*.f64 x.im (-.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.re) |
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))) |
(+ (* x.re x.im) (* x.im x.re)) |
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64))) |
(* x.re x.im) |
(*.f64 x.im x.re) |
(* x.im x.re) |
(*.f64 x.im x.re) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| ✓ | accuracy | 94.8% | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
| ✓ | accuracy | 91.3% | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| ✓ | accuracy | 89.0% | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| ✓ | accuracy | 100.0% | (*.f64 x.im x.im) |
| ✓ | accuracy | 99.8% | (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) |
| ✓ | accuracy | 94.8% | (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) |
| ✓ | accuracy | 91.3% | (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) |
| 70.0ms | 256× | 0 | valid |
Compiled 102 to 17 computations (83.3% saved)
ival-mult: 16.0ms (76.8% of total)ival-sub: 3.0ms (14.4% of total)ival-add: 2.0ms (9.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x.im (- (* x.re (* x.re 3)) (* x.im x.im)))> |
#<alt (- (* x.re (* x.re 3)) (* x.im x.im))> |
#<alt (* x.re (* x.re 3))> |
#<alt (* x.re 3)> |
#<alt (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))> |
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.re)> |
#<alt (+ (* x.re x.im) (* x.im x.re))> |
#<alt (* (- (* x.re x.re) (* x.im x.im)) x.im)> |
#<alt (* x.im x.im)> |
#<alt (- (* x.re x.re) (* x.im x.im))> |
| Outputs |
|---|
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))> |
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))> |
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))> |
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))> |
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))> |
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))> |
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))> |
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))> |
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (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 | @ | 0 | (* x.re 3) |
| 2.0ms | x.re | @ | 0 | (+ (* x.re x.im) (* x.im x.re)) |
| 1.0ms | x.im | @ | 0 | (* x.im (- (* x.re (* x.re 3)) (* x.im x.im))) |
| 1.0ms | x.im | @ | inf | (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 1.0ms | x.im | @ | 0 | (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 1× | batch-egg-rewrite |
| 470× | *-lowering-*.f32 |
| 470× | *-lowering-*.f64 |
| 254× | +-lowering-+.f64 |
| 254× | +-lowering-+.f32 |
| 218× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 66 |
| 1 | 102 | 55 |
| 0 | 833 | 55 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x.im (- (* x.re (* x.re 3)) (* x.im x.im))) |
(- (* x.re (* x.re 3)) (* x.im x.im)) |
(* x.re (* x.re 3)) |
(* x.re 3) |
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* 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.re)) |
(* (- (* x.re x.re) (* x.im x.im)) x.im) |
(* x.im x.im) |
(- (* x.re x.re) (* x.im x.im)) |
| Outputs |
|---|
(+.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)))) |
(+.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) x.im)) |
(+.f64 (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))) (*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))) |
(+.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im)) |
(/.f64 (*.f64 x.im (-.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 27 binary64)) (*.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))) #s(literal 9 binary64)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))) |
(/.f64 (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 27 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) x.im) (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) |
(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) |
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im) |
(+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (*.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 #s(literal 3 binary64))) (*.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 #s(literal 3 binary64))) (*.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 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))) |
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) |
(-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) |
(-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (-.f64 (*.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 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 27 binary64)) (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))) (/.f64 (*.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))) #s(literal 9 binary64)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))) |
(fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (-.f64 #s(literal 0 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)))) #s(literal 27 binary64)) (*.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))) #s(literal 9 binary64)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (+.f64 (*.f64 x.re (*.f64 x.re #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)))) #s(literal 27 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (neg.f64 (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (+.f64 (*.f64 x.re (*.f64 x.re #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)))) #s(literal 27 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)) (-.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 (*.f64 x.re #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.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 (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.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 (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))) (-.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 27 binary64)) (*.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 (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)) (*.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 (*.f64 x.re #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.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 (*.f64 x.re #s(literal 3 binary64))) (*.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 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 27 binary64)) (*.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 (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))) |
(*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) |
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) |
(*.f64 x.re #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x.re) |
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))) |
(+.f64 (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))) |
(-.f64 (/.f64 (*.f64 x.im (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)))) (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (*.f64 x.re (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(fma.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))) |
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))) |
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 x.im (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))))) (*.f64 (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x.re (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))))) (+.f64 (*.f64 x.im (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)))) (*.f64 (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)))))) |
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(/.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.im x.im) (*.f64 x.re x.re)))))) |
(*.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.im x.im) (*.f64 x.re x.re)))) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) |
| 1× | egg-herbie |
| 4114× | *-lowering-*.f32 |
| 4114× | *-lowering-*.f64 |
| 1888× | fnmadd-define |
| 1578× | +-lowering-+.f64 |
| 1578× | +-lowering-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 1509 |
| 1 | 254 | 1236 |
| 2 | 800 | 1206 |
| 3 | 3574 | 1206 |
| 0 | 8819 | 1206 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (* x.im (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(* 3 (* x.im (pow x.re 2))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* 3 (* x.im (pow x.re 2))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* -1 (pow x.im 2)) |
(- (* 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.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* 3 (pow x.re 2)) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* 3 (pow x.re 2)) |
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) |
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) |
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(* x.im (pow x.re 2)) |
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
(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 (* x.im (pow x.re 2))) |
(*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)))) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)))) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)))) |
(* -1 (pow x.im 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)))) |
(* -1 (pow x.im 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* -1 (pow x.im 2)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) |
(- (* 3 (pow x.re 2)) (pow x.im 2)) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) |
(- (* 3 (pow x.re 2)) (pow x.im 2)) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) |
(- (* 3 (pow x.re 2)) (pow x.im 2)) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) |
(* 3 (pow x.re 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) |
(* 3 (pow x.re 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) |
(* 3 (pow x.re 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) |
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) |
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) |
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) |
(* -1 (pow x.im 2)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) |
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
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(*.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 #s(literal 0 binary64) (*.f64 x.im x.im)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 x.im (*.f64 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 x.im (*.f64 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 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) |
(* -1 (pow x.im 2)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 x.im (*.f64 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 x.im (*.f64 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 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) |
Compiled 7311 to 458 computations (93.7% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 333 | 9 | 342 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 334 | 10 | 344 |
| Status | Accuracy | Program |
|---|---|---|
| 34.1% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) | |
| ▶ | 60.4% | (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
| ▶ | 88.9% | (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 79.1% | (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im)) | |
| ▶ | 48.5% | (+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| ▶ | 76.0% | (*.f64 (*.f64 x.im x.im) (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)))) |
| 53.5% | (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) | |
| 85.4% | (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) | |
| ✓ | 85.4% | (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) |
| ▶ | 48.4% | (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
Compiled 303 to 180 computations (40.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)) |
| ✓ | cost-diff | 0 | (*.f64 x.im x.im) |
| ✓ | cost-diff | 256 | (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))) |
| ✓ | cost-diff | 384 | (*.f64 (*.f64 x.im x.im) (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x.re x.re) x.im) |
| ✓ | 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.re) |
| ✓ | cost-diff | 512 | (+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| ✓ | cost-diff | 0 | (*.f64 x.im x.im) |
| ✓ | cost-diff | 0 | (*.f64 x.im (*.f64 x.im x.im)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
| ✓ | cost-diff | 0 | (*.f64 x.re x.re) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) |
| ✓ | cost-diff | 0 | (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) |
| ✓ | 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.re) |
| ✓ | cost-diff | 256 | (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 2172× | *-lowering-*.f32 |
| 2172× | *-lowering-*.f64 |
| 1846× | fnmadd-define |
| 1632× | fma-lowering-fma.f32 |
| 1632× | fma-lowering-fma.f64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 181 |
| 1 | 78 | 169 |
| 2 | 214 | 166 |
| 3 | 623 | 160 |
| 4 | 2025 | 156 |
| 5 | 6541 | 155 |
| 0 | 8040 | 155 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
(* (+ x.im x.re) (* (- x.re x.im) x.im)) |
(+ 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.re) |
(+ (* x.re x.im) (* x.im x.re)) |
(* x.re x.im) |
(* x.im x.re) |
(* x.im (* 3 (* x.re x.re))) |
x.im |
(* 3 (* x.re x.re)) |
3 |
(* x.re x.re) |
x.re |
(- 0 (* x.im (* x.im x.im))) |
0 |
(* x.im (* x.im x.im)) |
x.im |
(* x.im x.im) |
(+ (* (* x.re x.re) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
(* (* x.re x.re) x.im) |
(* x.re x.re) |
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.im x.im) (* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im)))) |
(* x.im x.im) |
x.im |
(* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im))) |
(+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im)) |
-1 |
(/ (* 3 (/ (* x.re x.re) x.im)) x.im) |
(* 3 (/ (* x.re x.re) x.im)) |
3 |
(/ (* x.re x.re) x.im) |
(* x.re x.re) |
x.re |
| Outputs |
|---|
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
(*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 (*.f64 x.re #s(literal 3 binary64)) x.im)))) |
(* (+ x.im x.re) (* (- x.re x.im) x.im)) |
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) |
(+ x.im x.re) |
(+.f64 x.im x.re) |
x.im |
x.re |
(* (- x.re x.im) x.im) |
(*.f64 x.im (-.f64 x.re x.im)) |
(- x.re x.im) |
(-.f64 x.re x.im) |
(* (+ (* x.re x.im) (* x.im x.re)) x.re) |
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))) |
(+ (* x.re x.im) (* x.im x.re)) |
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64))) |
(* x.re x.im) |
(*.f64 x.im x.re) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.im (* 3 (* x.re x.re))) |
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))) |
x.im |
(* 3 (* x.re x.re)) |
(*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) |
3 |
#s(literal 3 binary64) |
(* x.re x.re) |
(*.f64 x.re x.re) |
x.re |
(- 0 (* x.im (* x.im x.im))) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
0 |
#s(literal 0 binary64) |
(* x.im (* x.im x.im)) |
(*.f64 x.im (*.f64 x.im x.im)) |
x.im |
(* x.im x.im) |
(*.f64 x.im x.im) |
(+ (* (* x.re x.re) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))) |
(* (* x.re x.re) x.im) |
(*.f64 x.im (*.f64 x.re x.re)) |
(* x.re x.re) |
(*.f64 x.re x.re) |
x.re |
x.im |
(* (+ (* x.re x.im) (* x.im x.re)) x.re) |
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))) |
(+ (* x.re x.im) (* x.im x.re)) |
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64))) |
(* x.re x.im) |
(*.f64 x.im x.re) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* (* x.im x.im) (* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im)))) |
(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) |
(* x.im x.im) |
(*.f64 x.im x.im) |
x.im |
(* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im))) |
(-.f64 (/.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) x.im) |
(+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im)) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im))) |
-1 |
#s(literal -1 binary64) |
(/ (* 3 (/ (* x.re x.re) x.im)) x.im) |
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)) |
(* 3 (/ (* x.re x.re) x.im)) |
(/.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) |
3 |
#s(literal 3 binary64) |
(/ (* x.re x.re) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(* x.re x.re) |
(*.f64 x.re x.re) |
x.re |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 95.6% | (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))) |
| ✓ | accuracy | 92.9% | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
| ✓ | accuracy | 87.1% | (/.f64 (*.f64 x.re x.re) x.im) |
| ✓ | accuracy | 84.8% | (*.f64 (*.f64 x.im x.im) (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)))) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
| ✓ | accuracy | 99.8% | (+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| ✓ | accuracy | 99.8% | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| ✓ | accuracy | 91.5% | (*.f64 (*.f64 x.re x.re) x.im) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
| ✓ | accuracy | 100.0% | (*.f64 x.im x.im) |
| ✓ | accuracy | 99.9% | (*.f64 x.im (*.f64 x.im x.im)) |
| ✓ | accuracy | 100.0% | (*.f64 x.re x.re) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) |
| ✓ | accuracy | 91.5% | (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 x.re x.im) x.im) |
| ✓ | accuracy | 99.8% | (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) |
| ✓ | accuracy | 99.8% | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| ✓ | accuracy | 89.0% | (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 124.0ms | 256× | 0 | valid |
Compiled 220 to 29 computations (86.8% saved)
ival-mult: 26.0ms (50.9% of total)ival-add: 12.0ms (23.5% of total)ival-sub: 9.0ms (17.6% of total)ival-div: 3.0ms (5.9% of total)const: 1.0ms (2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))> |
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.re)> |
#<alt (+ (* x.re x.im) (* x.im x.re))> |
#<alt (* (+ x.im x.re) (* (- x.re x.im) x.im))> |
#<alt (* x.im (* 3 (* x.re x.re)))> |
#<alt (* 3 (* x.re x.re))> |
#<alt (* x.re x.re)> |
#<alt (- 0 (* x.im (* x.im x.im)))> |
#<alt (* x.im (* x.im x.im))> |
#<alt (* x.im x.im)> |
#<alt (+ (* (* x.re x.re) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))> |
#<alt (* (* x.re x.re) x.im)> |
#<alt (* (* x.im x.im) (* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im))))> |
#<alt (* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im)))> |
#<alt (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im))> |
#<alt (* (- x.re x.im) x.im)> |
#<alt (/ (* x.re x.re) x.im)> |
#<alt (/ (* 3 (/ (* x.re x.re) x.im)) x.im)> |
| Outputs |
|---|
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))> |
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))> |
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))> |
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))> |
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))> |
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (* 3 (pow x.re 2))> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (pow x.re 2)> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (pow x.im 2)> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))> |
#<alt (* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))> |
#<alt (* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))> |
#<alt (* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))> |
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))> |
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* 3 (/ (pow x.re 2) x.im))> |
#<alt (/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) x.im)> |
#<alt (/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) x.im)> |
#<alt (/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) x.im)> |
#<alt (* -1 x.im)> |
#<alt (* x.im (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* x.im (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* x.im (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* -1 x.im)> |
#<alt (* -1 (* x.im (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (* x.im (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (* x.im (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 x.im)> |
#<alt (+ (* -1 x.im) (* 3 (/ (pow x.re 2) x.im)))> |
#<alt (+ (* -1 x.im) (* 3 (/ (pow x.re 2) x.im)))> |
#<alt (+ (* -1 x.im) (* 3 (/ (pow x.re 2) x.im)))> |
#<alt (* 3 (/ (pow x.re 2) x.im))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im))))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im))))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im))))> |
#<alt (* 3 (/ (pow x.re 2) x.im))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im))))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im))))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im))))> |
#<alt -1> |
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)> |
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)> |
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))> |
#<alt (/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))> |
#<alt (/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))> |
#<alt -1> |
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)> |
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)> |
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)> |
#<alt -1> |
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)> |
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)> |
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)> |
#<alt (* -1 (pow x.im 2))> |
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))> |
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))> |
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))> |
#<alt (* x.im x.re)> |
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))> |
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))> |
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))> |
#<alt (* x.im x.re)> |
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))> |
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))> |
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))> |
#<alt (* x.im x.re)> |
#<alt (* x.im (+ x.re (* -1 x.im)))> |
#<alt (* x.im (+ x.re (* -1 x.im)))> |
#<alt (* x.im (+ x.re (* -1 x.im)))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (/ (pow x.re 2) x.im)> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x.im | @ | inf | (* x.im (* 3 (* x.re x.re))) |
| 3.0ms | x.re | @ | inf | (* (* x.im x.im) (* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im)))) |
| 1.0ms | x.re | @ | 0 | (* (* x.im x.im) (* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im)))) |
| 0.0ms | x.im | @ | inf | (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 0.0ms | x.re | @ | inf | (/ (* 3 (/ (* x.re x.re) x.im)) x.im) |
| 1× | batch-egg-rewrite |
| 3084× | *-lowering-*.f32 |
| 3084× | *-lowering-*.f64 |
| 2776× | /-lowering-/.f32 |
| 2776× | /-lowering-/.f64 |
| 2452× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 130 |
| 1 | 172 | 107 |
| 2 | 1492 | 106 |
| 0 | 8382 | 106 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* 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.re)) |
(* (+ x.im x.re) (* (- x.re x.im) x.im)) |
(* x.im (* 3 (* x.re x.re))) |
(* 3 (* x.re x.re)) |
(* x.re x.re) |
(- 0 (* x.im (* x.im x.im))) |
(* x.im (* x.im x.im)) |
(* x.im x.im) |
(+ (* (* x.re x.re) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
(* (* x.re x.re) x.im) |
(* (* x.im x.im) (* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im)))) |
(* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im))) |
(+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im)) |
(* (- x.re x.im) x.im) |
(/ (* x.re x.re) x.im) |
(/ (* 3 (/ (* x.re x.re) x.im)) x.im) |
| Outputs |
|---|
(+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))) |
(+.f64 (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (-.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (/.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (-.f64 (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))) |
(fma.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.re) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))) (+.f64 (*.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re (*.f64 x.re x.re))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re (*.f64 x.re x.re)))) (+.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re (*.f64 x.re x.re)))) (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))) (+.f64 (*.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re (*.f64 x.re x.re)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))))) (-.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re (*.f64 x.re x.re))))) (neg.f64 (+.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re (*.f64 x.re x.re))))) (neg.f64 (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 (+.f64 x.im x.re) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))))) (neg.f64 (-.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))) (-.f64 (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (+.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re)))) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re))))) (*.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.re (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (*.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (+.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 0 binary64)) (*.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.re #s(literal 0 binary64)))) (*.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))) #s(literal 0 binary64))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (+.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re)))) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re))))) (*.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.re))) (*.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (+.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 0 binary64)) (*.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 #s(literal 0 binary64) x.re))) (*.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))) #s(literal 0 binary64))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re))))) (*.f64 (-.f64 x.im x.re) (*.f64 x.re (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (*.f64 (-.f64 x.im x.re) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) #s(literal 0 binary64)) (*.f64 (-.f64 x.im x.re) (*.f64 x.re #s(literal 0 binary64)))) (*.f64 (-.f64 x.im x.re) #s(literal 0 binary64))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re))))) (*.f64 (-.f64 x.im x.re) (*.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.re))) (*.f64 (-.f64 x.im x.re) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) #s(literal 0 binary64)) (*.f64 (-.f64 x.im x.re) (*.f64 #s(literal 0 binary64) x.re))) (*.f64 (-.f64 x.im x.re) #s(literal 0 binary64))) |
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re))))) (*.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.re (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (*.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (-.f64 x.re x.im))) #s(literal 0 binary64)) (*.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.re #s(literal 0 binary64)))) (*.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))) #s(literal 0 binary64))) |
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re))))) (*.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.re))) (*.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (-.f64 x.re x.im))) #s(literal 0 binary64)) (*.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 #s(literal 0 binary64) x.re))) (*.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))) #s(literal 0 binary64))) |
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re))))) (*.f64 (-.f64 x.im x.re) (*.f64 x.re (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (*.f64 (-.f64 x.im x.re) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (*.f64 x.im (-.f64 x.re x.im))) #s(literal 0 binary64)) (*.f64 (-.f64 x.im x.re) (*.f64 x.re #s(literal 0 binary64)))) (*.f64 (-.f64 x.im x.re) #s(literal 0 binary64))) |
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (*.f64 x.im (-.f64 x.re x.im))) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re))))) (*.f64 (-.f64 x.im x.re) (*.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.re))) (*.f64 (-.f64 x.im x.re) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))))) |
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(/.f64 (*.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) x.im)) |
(/.f64 #s(literal 1 binary64) (/.f64 x.im (/.f64 #s(literal 3 binary64) (/.f64 x.im (*.f64 x.re x.re))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x.im (/.f64 #s(literal 3 binary64) (/.f64 x.im (*.f64 x.re x.re)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x.im (/.f64 #s(literal 3 binary64) (/.f64 x.im (*.f64 x.re x.re))))))) |
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) (/.f64 x.im (*.f64 x.re x.re))) #s(literal 1 binary64)) x.im) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) #s(literal 1 binary64)) (*.f64 x.im x.im)) |
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (neg.f64 (*.f64 x.im x.im))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal -3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x.im))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 3 binary64) (/.f64 x.im (*.f64 x.re x.re))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x.im)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) #s(literal 1 binary64))) (neg.f64 (*.f64 x.im x.im))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal -3 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x.im)))) |
(pow.f64 (/.f64 x.im (/.f64 #s(literal 3 binary64) (/.f64 x.im (*.f64 x.re x.re)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x.im (/.f64 #s(literal 3 binary64) (/.f64 x.im (*.f64 x.re x.re)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(*.f64 (/.f64 (*.f64 x.re x.re) x.im) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.im))) |
(*.f64 (/.f64 (*.f64 x.re x.re) x.im) (/.f64 #s(literal 3 binary64) x.im)) |
(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 x.im (*.f64 x.re x.re))) (/.f64 #s(literal 1 binary64) x.im)) |
(*.f64 (*.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(*.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 3 binary64) (/.f64 x.im (*.f64 x.re x.re)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x.im) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 x.im (*.f64 x.re x.re)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal 3 binary64)) |
(*.f64 (/.f64 x.re x.im) (/.f64 (*.f64 x.re #s(literal 3 binary64)) x.im)) |
(*.f64 #s(literal -3 binary64) (/.f64 (neg.f64 (/.f64 (*.f64 x.re x.re) x.im)) x.im)) |
(*.f64 (/.f64 #s(literal 3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im)) |
(*.f64 (/.f64 #s(literal 3 binary64) x.im) (/.f64 (neg.f64 (/.f64 (*.f64 x.re x.re) x.im)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x.im)) |
(*.f64 (/.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) (/.f64 x.re x.im)) |
(*.f64 (/.f64 #s(literal -1 binary64) x.im) (/.f64 (/.f64 #s(literal 3 binary64) (/.f64 x.im (*.f64 x.re x.re))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (/.f64 (*.f64 x.re x.re) x.im)) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) x.im)) |
(*.f64 (/.f64 (neg.f64 (/.f64 (*.f64 x.re x.re) x.im)) x.im) #s(literal -3 binary64)) |
(*.f64 (/.f64 #s(literal -3 binary64) x.im) (/.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 3202× | *-lowering-*.f32 |
| 3202× | *-lowering-*.f64 |
| 1888× | +-lowering-+.f64 |
| 1888× | +-lowering-+.f32 |
| 1140× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 3097 |
| 1 | 580 | 2425 |
| 2 | 2278 | 2138 |
| 0 | 8002 | 2138 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* x.im (pow x.re 2)) |
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))) |
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) |
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im))))) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 2)) |
(* 3 (pow x.re 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) |
(pow x.re 2) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(pow x.im 2) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))))) |
(* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))))) |
(* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))))) |
(* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))))) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* 3 (* x.im (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(* 3 (* x.im (pow x.re 2))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* 3 (* x.im (pow x.re 2))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* 3 (/ (pow x.re 2) x.im)) |
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) x.im) |
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) x.im) |
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) x.im) |
(* -1 x.im) |
(* x.im (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* x.im (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* x.im (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* -1 x.im) |
(* -1 (* x.im (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* x.im (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* x.im (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 x.im) |
(+ (* -1 x.im) (* 3 (/ (pow x.re 2) x.im))) |
(+ (* -1 x.im) (* 3 (/ (pow x.re 2) x.im))) |
(+ (* -1 x.im) (* 3 (/ (pow x.re 2) x.im))) |
(* 3 (/ (pow x.re 2) x.im)) |
(* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im)))) |
(* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im)))) |
(* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im)))) |
(* 3 (/ (pow x.re 2) x.im)) |
(* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im)))) |
(* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im)))) |
(* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im)))) |
-1 |
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1) |
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1) |
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2)) |
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2)) |
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2)) |
-1 |
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1) |
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1) |
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1) |
-1 |
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1) |
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1) |
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1) |
(* -1 (pow x.im 2)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(* x.im x.re) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(* x.im x.re) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(* x.im x.re) |
(* x.im (+ x.re (* -1 x.im))) |
(* x.im (+ x.re (* -1 x.im))) |
(* x.im (+ x.re (* -1 x.im))) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* -1 (pow x.im 2)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(/ (pow x.re 2) x.im) |
(* 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))) |
(* 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))) |
(* 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))) |
(* 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))) |
(* 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))) |
(* 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))) |
| Outputs |
|---|
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) |
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))) |
(* -1 (pow x.im 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im))) |
(* -1 (pow x.im 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(*.f64 x.re (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(*.f64 x.re (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(*.f64 x.re (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(*.f64 x.re (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* 2 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)) |
(* x.im (pow x.re 2)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))) |
(*.f64 x.im (*.f64 x.re x.re)) |
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) |
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) |
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(* -1 (pow x.im 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im))))) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im))))) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) |
(* -1 (pow x.im 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(* x.im (pow x.re 2)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) |
(*.f64 x.im (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))) |
(* x.im (pow x.re 2)) |
(*.f64 x.im (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) |
(*.f64 x.im (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) |
(* 3 (* x.im (pow x.re 2))) |
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(* 3 (* x.im (pow x.re 2))) |
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(*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) |
(* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im)))) |
(*.f64 x.re (*.f64 x.re (-.f64 (/.f64 #s(literal 3 binary64) x.im) (/.f64 x.im (*.f64 x.re x.re))))) |
(* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im)))) |
(*.f64 x.re (*.f64 x.re (-.f64 (/.f64 #s(literal 3 binary64) x.im) (/.f64 x.im (*.f64 x.re x.re))))) |
(* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im)))) |
(*.f64 x.re (*.f64 x.re (-.f64 (/.f64 #s(literal 3 binary64) x.im) (/.f64 x.im (*.f64 x.re x.re))))) |
(* 3 (/ (pow x.re 2) x.im)) |
(*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) |
(* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im)))) |
(*.f64 x.re (*.f64 x.re (-.f64 (/.f64 #s(literal 3 binary64) x.im) (/.f64 x.im (*.f64 x.re x.re))))) |
(* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im)))) |
(*.f64 x.re (*.f64 x.re (-.f64 (/.f64 #s(literal 3 binary64) x.im) (/.f64 x.im (*.f64 x.re x.re))))) |
(* (pow x.re 2) (+ (* -1 (/ x.im (pow x.re 2))) (* 3 (/ 1 x.im)))) |
(*.f64 x.re (*.f64 x.re (-.f64 (/.f64 #s(literal 3 binary64) x.im) (/.f64 x.im (*.f64 x.re x.re))))) |
-1 |
#s(literal -1 binary64) |
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)) |
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)) |
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(*.f64 (*.f64 x.re x.re) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal -1 binary64) (*.f64 x.re x.re)))) |
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(*.f64 (*.f64 x.re x.re) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal -1 binary64) (*.f64 x.re x.re)))) |
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(*.f64 (*.f64 x.re x.re) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal -1 binary64) (*.f64 x.re x.re)))) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(*.f64 (*.f64 x.re x.re) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal -1 binary64) (*.f64 x.re x.re)))) |
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(*.f64 (*.f64 x.re x.re) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal -1 binary64) (*.f64 x.re x.re)))) |
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(*.f64 (*.f64 x.re x.re) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal -1 binary64) (*.f64 x.re x.re)))) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2)) |
(/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im)) (*.f64 x.im x.im)) |
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2)) |
(/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im)) (*.f64 x.im x.im)) |
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2)) |
(/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im)) (*.f64 x.im x.im)) |
-1 |
#s(literal -1 binary64) |
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)) |
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)) |
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)) |
-1 |
#s(literal -1 binary64) |
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)) |
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)) |
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)) |
(* -1 (pow x.im 2)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(*.f64 x.im (-.f64 x.re x.im)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(*.f64 x.im (-.f64 x.re x.im)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(*.f64 x.im (-.f64 x.re x.im)) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.im (+ x.re (* -1 x.im))) |
(*.f64 x.im (-.f64 x.re x.im)) |
(* x.im (+ x.re (* -1 x.im))) |
(*.f64 x.im (-.f64 x.re x.im)) |
(* x.im (+ x.re (* -1 x.im))) |
(*.f64 x.im (-.f64 x.re x.im)) |
(* -1 (pow x.im 2)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) |
(* -1 (pow x.im 2)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(/ (pow x.re 2) x.im) |
(/.f64 (*.f64 x.re x.re) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
(* 3 (/ (pow x.re 2) (pow x.im 2))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im) |
Compiled 22775 to 1825 computations (92% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1018 | 12 | 1030 |
| Fresh | 1 | 3 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1024 | 16 | 1040 |
| Status | Accuracy | Program |
|---|---|---|
| 60.5% | (pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64)) | |
| ▶ | 9.6% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im))) (*.f64 x.im (*.f64 x.im x.im))) |
| 24.3% | (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im) x.im) (/.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))) | |
| 51.4% | (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 x.im x.re))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 33.8% | (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (+.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re)))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 79.1% | (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im)) | |
| ▶ | 53.5% | (+.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 9.3% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im))) (/.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 x.im x.im)))) | |
| ▶ | 53.5% | (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
| 53.4% | (*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re) | |
| 37.8% | (*.f64 (*.f64 x.im x.im) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im))) | |
| ▶ | 60.4% | (*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) |
| ▶ | 86.9% | (*.f64 x.re (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))) |
| 53.5% | (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) | |
| 85.4% | (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) | |
| ✓ | 48.4% | (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
Compiled 553 to 298 computations (46.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x.im x.im) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im))) |
| ✓ | cost-diff | 768 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im))) (*.f64 x.im (*.f64 x.im x.im))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x.im x.re) 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.re) |
| ✓ | cost-diff | 512 | (+.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| ✓ | cost-diff | 0 | (*.f64 x.im #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
| ✓ | cost-diff | -64 | (neg.f64 (*.f64 x.im x.im)) |
| ✓ | cost-diff | -64 | (*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) |
| ✓ | cost-diff | 0 | (*.f64 x.im x.im) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
| ✓ | cost-diff | 0 | (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
| ✓ | cost-diff | 0 | (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))) |
| ✓ | cost-diff | 256 | (*.f64 x.re (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))) |
| 2518× | *-lowering-*.f32 |
| 2518× | *-lowering-*.f64 |
| 1348× | fma-define |
| 1292× | fnmadd-define |
| 1136× | fma-lowering-fma.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 154 |
| 1 | 83 | 137 |
| 2 | 239 | 125 |
| 3 | 815 | 125 |
| 4 | 2270 | 125 |
| 5 | 4999 | 122 |
| 0 | 8462 | 122 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x.re (* x.re (* x.im (- 3 (/ (/ (* x.im x.im) x.re) x.re))))) |
x.re |
(* x.re (* x.im (- 3 (/ (/ (* x.im x.im) x.re) x.re)))) |
(* x.im (- 3 (/ (/ (* x.im x.im) x.re) x.re))) |
x.im |
(- 3 (/ (/ (* x.im x.im) x.re) x.re)) |
3 |
(/ (/ (* x.im x.im) x.re) x.re) |
(/ (* x.im x.im) x.re) |
(* x.im x.im) |
(* (neg (* x.im x.im)) x.im) |
(neg (* x.im x.im)) |
(* x.im x.im) |
x.im |
(* (* (* x.im 3) x.re) x.re) |
(* (* x.im 3) x.re) |
(* x.im 3) |
x.im |
3 |
x.re |
(+ (* (* x.im x.re) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
(* (* 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.re x.im) (* x.im x.re)) |
(* x.re x.im) |
(/ (- 0 (* (* x.im x.im) (* (* x.im (* x.im x.im)) x.im))) (* x.im (* x.im x.im))) |
(- 0 (* (* x.im x.im) (* (* x.im (* x.im x.im)) x.im))) |
0 |
(* (* x.im x.im) (* (* x.im (* x.im x.im)) x.im)) |
(* x.im x.im) |
x.im |
(* (* x.im (* x.im x.im)) x.im) |
(* x.im (* x.im x.im)) |
| Outputs |
|---|
(* x.re (* x.re (* x.im (- 3 (/ (/ (* x.im x.im) x.re) x.re))))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
x.re |
(* x.re (* x.im (- 3 (/ (/ (* x.im x.im) x.re) x.re)))) |
(-.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.re)) |
(* x.im (- 3 (/ (/ (* x.im x.im) x.re) x.re))) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
x.im |
(- 3 (/ (/ (* x.im x.im) x.re) x.re)) |
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
3 |
#s(literal 3 binary64) |
(/ (/ (* x.im x.im) x.re) x.re) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (* x.im x.im) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(* x.im x.im) |
(*.f64 x.im x.im) |
(* (neg (* x.im x.im)) x.im) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(neg (* x.im x.im)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) |
(* x.im x.im) |
(*.f64 x.im x.im) |
x.im |
(* (* (* x.im 3) x.re) x.re) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
(* (* 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)) |
x.im |
3 |
#s(literal 3 binary64) |
x.re |
(+ (* (* x.im x.re) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
(* (* x.im x.re) x.re) |
(*.f64 x.im (*.f64 x.re x.re)) |
(* x.im x.re) |
(*.f64 x.re x.im) |
x.im |
x.re |
(* (+ (* x.re x.im) (* x.im x.re)) x.re) |
(*.f64 (*.f64 x.im (*.f64 x.re x.re)) #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) |
(/ (- 0 (* (* x.im x.im) (* (* x.im (* x.im x.im)) x.im))) (* x.im (* x.im x.im))) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(- 0 (* (* x.im x.im) (* (* x.im (* x.im x.im)) x.im))) |
(*.f64 x.im (*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) |
0 |
#s(literal 0 binary64) |
(* (* x.im x.im) (* (* x.im (* x.im x.im)) x.im)) |
(*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) |
(* x.im x.im) |
(*.f64 x.im x.im) |
x.im |
(* (* 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)) |
(*.f64 x.im (*.f64 x.im x.im)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im) |
| ✓ | accuracy | 99.9% | (*.f64 x.im (*.f64 x.im x.im)) |
| ✓ | accuracy | 18.6% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im))) (*.f64 x.im (*.f64 x.im x.im))) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
| ✓ | accuracy | 99.8% | (+.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| ✓ | accuracy | 99.8% | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x.im x.re) x.re) |
| ✓ | accuracy | 100.0% | (*.f64 x.im #s(literal 3 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) |
| ✓ | accuracy | 100.0% | (*.f64 x.im x.im) |
| ✓ | accuracy | 100.0% | (neg.f64 (*.f64 x.im x.im)) |
| ✓ | accuracy | 99.9% | (*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) |
| ✓ | accuracy | 96.6% | (*.f64 x.re (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))) |
| ✓ | accuracy | 95.3% | (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))) |
| ✓ | accuracy | 94.9% | (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
| ✓ | accuracy | 86.9% | (/.f64 (*.f64 x.im x.im) x.re) |
| 93.0ms | 237× | 0 | valid |
| 13.0ms | 9× | 3 | valid |
| 6.0ms | 5× | 4 | valid |
| 3.0ms | 4× | 2 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 205 to 28 computations (86.3% saved)
ival-mult: 36.0ms (51.6% of total)ival-div: 23.0ms (33% of total)ival-sub: 3.0ms (4.3% of total)backward-pass: 3.0ms (4.3% of total)ival-add: 3.0ms (4.3% of total)ival-neg: 2.0ms (2.9% of total)const: 1.0ms (1.4% of total)| Inputs |
|---|
#<alt (* x.re (* x.re (* x.im (- 3 (/ (/ (* x.im x.im) x.re) x.re)))))> |
#<alt (* x.re (* x.im (- 3 (/ (/ (* x.im x.im) x.re) x.re))))> |
#<alt (* x.im (- 3 (/ (/ (* x.im x.im) x.re) x.re)))> |
#<alt (- 3 (/ (/ (* x.im x.im) x.re) x.re))> |
#<alt (* x.im x.im)> |
#<alt (* (neg (* x.im x.im)) x.im)> |
#<alt (neg (* x.im x.im))> |
#<alt (* (* (* x.im 3) x.re) x.re)> |
#<alt (* (* x.im 3) x.re)> |
#<alt (* x.im 3)> |
#<alt (+ (* (* x.im x.re) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re))> |
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.re)> |
#<alt (+ (* x.re x.im) (* x.im x.re))> |
#<alt (* (* x.im x.re) x.re)> |
#<alt (/ (- 0 (* (* x.im x.im) (* (* x.im (* x.im x.im)) x.im))) (* x.im (* x.im x.im)))> |
#<alt (- 0 (* (* x.im x.im) (* (* x.im (* x.im x.im)) x.im)))> |
#<alt (* (* x.im x.im) (* (* x.im (* x.im x.im)) x.im))> |
#<alt (/ (* x.im x.im) x.re)> |
#<alt (/ (/ (* x.im x.im) x.re) x.re)> |
#<alt (* x.im (* x.im x.im))> |
#<alt (* (* x.im (* x.im x.im)) x.im)> |
| Outputs |
|---|
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))> |
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))> |
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re)> |
#<alt (/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re)> |
#<alt (/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re)> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re)))> |
#<alt (* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re)))> |
#<alt (* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re)))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re)))> |
#<alt (* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re)))> |
#<alt (* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re)))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re))))> |
#<alt (* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re))))> |
#<alt (* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re))))> |
#<alt (* 3 x.im)> |
#<alt (* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))> |
#<alt (* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))> |
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))> |
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))> |
#<alt (/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (pow x.re 2))> |
#<alt (/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (pow x.re 2))> |
#<alt (/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (pow x.re 2))> |
#<alt (* 3 x.im)> |
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))> |
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))> |
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))> |
#<alt (* 3 x.im)> |
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))> |
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))> |
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))> |
#<alt 3> |
#<alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))> |
#<alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))> |
#<alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))> |
#<alt (* -1 (/ (pow x.im 2) (pow x.re 2)))> |
#<alt (* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* -1 (/ (pow x.im 2) (pow x.re 2)))> |
#<alt (* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* -1 (/ (pow x.im 2) (pow x.re 2)))> |
#<alt (/ (- (* 3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2))> |
#<alt (/ (- (* 3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2))> |
#<alt (/ (- (* 3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2))> |
#<alt 3> |
#<alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))> |
#<alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))> |
#<alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))> |
#<alt 3> |
#<alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))> |
#<alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))> |
#<alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 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 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* -1 (pow x.im 2))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im 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)> |
#<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 (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))> |
#<alt (* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))> |
#<alt (* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))> |
#<alt (* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))> |
#<alt (* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im (pow x.re 2)))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* 2 (* x.im x.re))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 6))> |
#<alt (* -1 (pow x.im 6))> |
#<alt (* -1 (pow x.im 6))> |
#<alt (* -1 (pow x.im 6))> |
#<alt (* -1 (pow x.im 6))> |
#<alt (* -1 (pow x.im 6))> |
#<alt (* -1 (pow x.im 6))> |
#<alt (* -1 (pow x.im 6))> |
#<alt (* -1 (pow x.im 6))> |
#<alt (* -1 (pow x.im 6))> |
#<alt (* -1 (pow x.im 6))> |
#<alt (* -1 (pow x.im 6))> |
#<alt (pow x.im 6)> |
#<alt (pow x.im 6)> |
#<alt (pow x.im 6)> |
#<alt (pow x.im 6)> |
#<alt (pow x.im 6)> |
#<alt (pow x.im 6)> |
#<alt (pow x.im 6)> |
#<alt (pow x.im 6)> |
#<alt (pow x.im 6)> |
#<alt (pow x.im 6)> |
#<alt (pow x.im 6)> |
#<alt (pow x.im 6)> |
#<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) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x.im | @ | 0 | (- 0 (* (* x.im x.im) (* (* x.im (* x.im x.im)) x.im))) |
| 1.0ms | x.im | @ | 0 | (* x.re (* x.im (- 3 (/ (/ (* x.im x.im) x.re) x.re)))) |
| 1.0ms | x.re | @ | 0 | (* x.re (* x.re (* x.im (- 3 (/ (/ (* x.im x.im) x.re) x.re))))) |
| 1.0ms | x.im | @ | 0 | (* x.re (* x.re (* x.im (- 3 (/ (/ (* x.im x.im) x.re) x.re))))) |
| 1.0ms | x.im | @ | inf | (* x.re (* x.re (* x.im (- 3 (/ (/ (* x.im x.im) x.re) x.re))))) |
| 1× | batch-egg-rewrite |
| 788× | *-lowering-*.f32 |
| 788× | *-lowering-*.f64 |
| 546× | /-lowering-/.f32 |
| 546× | /-lowering-/.f64 |
| 212× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 147 |
| 1 | 158 | 118 |
| 0 | 1246 | 118 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x.re (* x.re (* x.im (- 3 (/ (/ (* x.im x.im) x.re) x.re))))) |
(* x.re (* x.im (- 3 (/ (/ (* x.im x.im) x.re) x.re)))) |
(* x.im (- 3 (/ (/ (* x.im x.im) x.re) x.re))) |
(- 3 (/ (/ (* x.im x.im) x.re) x.re)) |
(* x.im x.im) |
(* (neg (* x.im x.im)) x.im) |
(neg (* x.im x.im)) |
(* (* (* x.im 3) x.re) x.re) |
(* (* x.im 3) x.re) |
(* x.im 3) |
(+ (* (* x.im x.re) 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.re)) |
(* (* x.im x.re) x.re) |
(/ (- 0 (* (* x.im x.im) (* (* x.im (* x.im x.im)) x.im))) (* x.im (* x.im x.im))) |
(- 0 (* (* x.im x.im) (* (* x.im (* x.im x.im)) x.im))) |
(* (* x.im x.im) (* (* x.im (* x.im x.im)) x.im)) |
(/ (* x.im x.im) x.re) |
(/ (/ (* x.im x.im) x.re) x.re) |
(* x.im (* x.im x.im)) |
(* (* x.im (* x.im x.im)) x.im) |
| Outputs |
|---|
(*.f64 x.re (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (*.f64 x.re x.im))) |
(*.f64 (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) (*.f64 x.re x.re)) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (*.f64 x.re x.im)) x.re) |
(*.f64 (*.f64 x.re x.im) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) x.re)) |
(*.f64 (*.f64 x.re (*.f64 x.re x.im)) (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) |
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))))) |
(*.f64 (*.f64 (*.f64 x.re x.re) (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) x.im) |
(+.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 x.re x.im) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) (-.f64 #s(literal 0 binary64) x.re)))) |
(+.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 x.im x.im) x.re) (-.f64 #s(literal 0 binary64) x.re)) (*.f64 x.re x.im))) |
(/.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal 27 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) (*.f64 (/.f64 (/.f64 x.re x.im) (/.f64 x.im x.re)) x.re))))) (+.f64 #s(literal 9 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))))) |
(/.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) (*.f64 (/.f64 (/.f64 x.re x.im) (/.f64 x.im x.re)) x.re)))) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) |
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))))) |
(*.f64 x.im (*.f64 x.re (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))))) |
(*.f64 x.im (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) x.re)) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (*.f64 x.re x.im)) |
(*.f64 (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) x.re) |
(*.f64 (*.f64 x.re x.im) (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) |
(*.f64 (*.f64 x.re (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) x.im) |
(+.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.im (/.f64 (/.f64 (*.f64 x.im x.im) x.re) (-.f64 #s(literal 0 binary64) x.re)))) |
(+.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 x.im x.im) x.re) (-.f64 #s(literal 0 binary64) x.re)) x.im)) |
(/.f64 (*.f64 x.im (-.f64 #s(literal 27 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) (*.f64 (/.f64 (/.f64 x.re x.im) (/.f64 x.im x.re)) x.re))))) (+.f64 #s(literal 9 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))))) |
(/.f64 (*.f64 x.im (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) (*.f64 (/.f64 (/.f64 x.re x.im) (/.f64 x.im x.re)) x.re)))) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) (*.f64 (/.f64 (/.f64 x.re x.im) (/.f64 x.im x.re)) x.re)))) x.im) (+.f64 #s(literal 9 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) (*.f64 (/.f64 (/.f64 x.re x.im) (/.f64 x.im x.re)) x.re))) x.im) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) x.im) |
(+.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) (-.f64 #s(literal 0 binary64) x.re))) |
(+.f64 (/.f64 (/.f64 (*.f64 x.im x.im) x.re) (-.f64 #s(literal 0 binary64) x.re)) #s(literal 3 binary64)) |
(-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) |
(-.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))))) (/.f64 (*.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) (*.f64 (/.f64 (/.f64 x.re x.im) (/.f64 x.im x.re)) x.re))) (+.f64 #s(literal 9 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))))))) |
(-.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) (/.f64 (/.f64 (/.f64 (*.f64 x.im x.im) x.re) (*.f64 (/.f64 (/.f64 x.re x.im) (/.f64 x.im x.re)) x.re)) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))))) |
(/.f64 (-.f64 #s(literal 27 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) (*.f64 (/.f64 (/.f64 x.re x.im) (/.f64 x.im x.re)) x.re)))) (+.f64 #s(literal 9 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))))) |
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(*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) x.im) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x.re)) (/.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.re))) |
(neg.f64 (/.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.re))) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) x.re)) |
(/.f64 #s(literal 1 binary64) (/.f64 x.re (*.f64 x.im x.im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x.re (*.f64 x.im x.im)))) |
(/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 1 binary64)) x.re) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (neg.f64 (-.f64 #s(literal 0 binary64) x.re))) |
(pow.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64)) |
(*.f64 x.im (/.f64 x.im x.re)) |
(*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 1 binary64) x.re)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.re))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im x.im) x.re)) |
(*.f64 (/.f64 #s(literal 1 binary64) x.re) (*.f64 x.im x.im)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.re))) |
(*.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 x.im (-.f64 #s(literal 0 binary64) x.re))) |
(*.f64 (/.f64 x.im x.re) x.im) |
(neg.f64 (/.f64 (/.f64 (*.f64 x.im x.im) x.re) (-.f64 #s(literal 0 binary64) x.re))) |
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) (neg.f64 (-.f64 #s(literal 0 binary64) x.re))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.re (-.f64 #s(literal 0 binary64) x.re))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (neg.f64 (*.f64 x.re x.re))) |
(/.f64 (/.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.re)) (-.f64 #s(literal 0 binary64) x.re)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x.re x.im) (/.f64 x.im x.re))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x.re x.im) (/.f64 x.im x.re)) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 x.re (*.f64 x.im x.im))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x.re x.im) (/.f64 x.im x.re)))) |
(/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 1 binary64)) (*.f64 x.re x.re)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x.re) x.re)) |
(/.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) x.re) |
(pow.f64 (/.f64 (/.f64 x.re x.im) (/.f64 x.im x.re)) #s(literal -1 binary64)) |
(*.f64 x.im (*.f64 (/.f64 x.im x.re) (/.f64 #s(literal 1 binary64) x.re))) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(*.f64 x.im (/.f64 (/.f64 x.im x.re) x.re)) |
(*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) |
(*.f64 (*.f64 x.im x.im) (*.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 #s(literal 1 binary64) x.re))) |
(*.f64 (*.f64 x.im x.im) (/.f64 (/.f64 #s(literal 1 binary64) x.re) x.re)) |
(*.f64 (/.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal 1 binary64) x.re)) |
(*.f64 (/.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.re)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.re))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) |
(*.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)) |
(*.f64 (/.f64 x.im x.re) (/.f64 x.im x.re)) |
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 3 binary64))) |
(pow.f64 x.im #s(literal 3 binary64)) |
(*.f64 x.im (*.f64 x.im x.im)) |
(*.f64 (*.f64 x.im x.im) x.im) |
(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64))) |
(pow.f64 x.im #s(literal 4 binary64)) |
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im) |
| 1× | egg-herbie |
| 3744× | *-lowering-*.f32 |
| 3744× | *-lowering-*.f64 |
| 1640× | fnmadd-define |
| 1458× | fmsub-define |
| 1274× | fma-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 2514 |
| 1 | 290 | 2058 |
| 2 | 977 | 1995 |
| 3 | 3708 | 1977 |
| 0 | 8413 | 1977 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(* 3 (* x.im (pow x.re 2))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* 3 (* x.im (pow x.re 2))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* 3 (* x.im (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (/ (pow x.im 3) x.re)) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re) |
(* 3 (* x.im x.re)) |
(* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* 3 (* x.im x.re)) |
(* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))) |
(* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))) |
(* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))) |
(* 3 (* x.im x.re)) |
(* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))) |
(* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))) |
(* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))) |
(* -1 (/ (pow x.im 3) x.re)) |
(* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))) |
(* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))) |
(* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))) |
(* 3 x.im) |
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* -1 (/ (pow x.im 3) (pow x.re 2))) |
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* -1 (/ (pow x.im 3) (pow x.re 2))) |
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2)))))) |
(* -1 (/ (pow x.im 3) (pow x.re 2))) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (pow x.re 2)) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (pow x.re 2)) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (pow x.re 2)) |
(* 3 x.im) |
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)) |
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)) |
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)) |
(* 3 x.im) |
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)) |
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)) |
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)) |
3 |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(* -1 (/ (pow x.im 2) (pow x.re 2))) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* -1 (/ (pow x.im 2) (pow x.re 2))) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* -1 (/ (pow x.im 2) (pow x.re 2))) |
(/ (- (* 3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2)) |
(/ (- (* 3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2)) |
(/ (- (* 3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2)) |
3 |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
3 |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 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 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* -1 (pow x.im 2)) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im 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) |
(* 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) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))))) |
(* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))))) |
(* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))))) |
(* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im x.re)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 6)) |
(* -1 (pow x.im 6)) |
(* -1 (pow x.im 6)) |
(* -1 (pow x.im 6)) |
(* -1 (pow x.im 6)) |
(* -1 (pow x.im 6)) |
(* -1 (pow x.im 6)) |
(* -1 (pow x.im 6)) |
(* -1 (pow x.im 6)) |
(* -1 (pow x.im 6)) |
(* -1 (pow x.im 6)) |
(* -1 (pow x.im 6)) |
(pow x.im 6) |
(pow x.im 6) |
(pow x.im 6) |
(pow x.im 6) |
(pow x.im 6) |
(pow x.im 6) |
(pow x.im 6) |
(pow x.im 6) |
(pow x.im 6) |
(pow x.im 6) |
(pow x.im 6) |
(pow x.im 6) |
(/ (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.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 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
| Outputs |
|---|
(* -1 (pow x.im 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* -1 (/ (pow x.im 3) x.re)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.re)) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* 3 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) |
(* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* 3 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) |
(* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* 3 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) |
(* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (/ (pow x.im 3) x.re)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.re)) |
(* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (/ (pow x.im 3) x.re)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.re)) |
(* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* 3 x.im) |
(*.f64 x.im #s(literal 3 binary64)) |
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(* -1 (/ (pow x.im 3) (pow x.re 2))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.re) x.re)) |
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(* -1 (/ (pow x.im 3) (pow x.re 2))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.re) x.re)) |
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2)))))) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2)))))) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2)))))) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(* -1 (/ (pow x.im 3) (pow x.re 2))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.re) x.re)) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (pow x.re 2)) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (pow x.re 2)) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (pow x.re 2)) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(* 3 x.im) |
(*.f64 x.im #s(literal 3 binary64)) |
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(* 3 x.im) |
(*.f64 x.im #s(literal 3 binary64)) |
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)) |
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
(* -1 (/ (pow x.im 2) (pow x.re 2))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
(* -1 (/ (pow x.im 2) (pow x.re 2))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
(* -1 (/ (pow x.im 2) (pow x.re 2))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
(/ (- (* 3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2)) |
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
(/ (- (* 3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2)) |
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
(/ (- (* 3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2)) |
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(* -1 (pow x.im 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
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(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(* -1 (pow x.im 6)) |
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 6 binary64))) |
(* -1 (pow x.im 6)) |
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 6 binary64))) |
(* -1 (pow x.im 6)) |
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 6 binary64))) |
(* -1 (pow x.im 6)) |
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 6 binary64))) |
(* -1 (pow x.im 6)) |
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 6 binary64))) |
(* -1 (pow x.im 6)) |
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 6 binary64))) |
(* -1 (pow x.im 6)) |
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 6 binary64))) |
(* -1 (pow x.im 6)) |
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 6 binary64))) |
(* -1 (pow x.im 6)) |
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 6 binary64))) |
(* -1 (pow x.im 6)) |
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 6 binary64))) |
(* -1 (pow x.im 6)) |
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 6 binary64))) |
(* -1 (pow x.im 6)) |
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 6 binary64))) |
(pow x.im 6) |
(pow.f64 x.im #s(literal 6 binary64)) |
(pow x.im 6) |
(pow.f64 x.im #s(literal 6 binary64)) |
(pow x.im 6) |
(pow.f64 x.im #s(literal 6 binary64)) |
(pow x.im 6) |
(pow.f64 x.im #s(literal 6 binary64)) |
(pow x.im 6) |
(pow.f64 x.im #s(literal 6 binary64)) |
(pow x.im 6) |
(pow.f64 x.im #s(literal 6 binary64)) |
(pow x.im 6) |
(pow.f64 x.im #s(literal 6 binary64)) |
(pow x.im 6) |
(pow.f64 x.im #s(literal 6 binary64)) |
(pow x.im 6) |
(pow.f64 x.im #s(literal 6 binary64)) |
(pow x.im 6) |
(pow.f64 x.im #s(literal 6 binary64)) |
(pow x.im 6) |
(pow.f64 x.im #s(literal 6 binary64)) |
(pow x.im 6) |
(pow.f64 x.im #s(literal 6 binary64)) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(pow x.im 3) |
(*.f64 x.im (*.f64 x.im x.im)) |
(pow x.im 3) |
(*.f64 x.im (*.f64 x.im x.im)) |
(pow x.im 3) |
(*.f64 x.im (*.f64 x.im x.im)) |
(pow x.im 3) |
(*.f64 x.im (*.f64 x.im x.im)) |
(pow x.im 3) |
(*.f64 x.im (*.f64 x.im x.im)) |
(pow x.im 3) |
(*.f64 x.im (*.f64 x.im x.im)) |
(pow x.im 3) |
(*.f64 x.im (*.f64 x.im x.im)) |
(pow x.im 3) |
(*.f64 x.im (*.f64 x.im x.im)) |
(pow x.im 3) |
(*.f64 x.im (*.f64 x.im x.im)) |
(pow x.im 3) |
(*.f64 x.im (*.f64 x.im x.im)) |
(pow x.im 3) |
(*.f64 x.im (*.f64 x.im x.im)) |
(pow x.im 3) |
(*.f64 x.im (*.f64 x.im x.im)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
Compiled 12010 to 939 computations (92.2% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 724 | 5 | 729 |
| Fresh | 4 | 6 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 730 | 15 | 745 |
| Status | Accuracy | Program |
|---|---|---|
| 60.5% | (pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64)) | |
| ▶ | 9.6% | (/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) x.im) (*.f64 x.im (*.f64 x.im x.im))) |
| 51.4% | (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 x.im x.re))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 33.8% | (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (+.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re)))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 79.1% | (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im)) | |
| ▶ | 72.1% | (*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (*.f64 x.re x.im)) x.re) |
| ✓ | 53.5% | (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
| 37.8% | (*.f64 (*.f64 x.im x.im) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im))) | |
| ✓ | 60.4% | (*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) |
| ▶ | 57.2% | (*.f64 x.re (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.re))) |
| ✓ | 86.9% | (*.f64 x.re (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))) |
| ▶ | 93.0% | (*.f64 x.re (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)))) |
| 85.4% | (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) | |
| ✓ | 48.4% | (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
| ▶ | 53.5% | (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) |
Compiled 467 to 261 computations (44.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x.im (*.f64 x.im x.im)) |
| ✓ | cost-diff | 0 | (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) |
| ✓ | cost-diff | 0 | (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) |
| ✓ | cost-diff | 704 | (/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) x.im) (*.f64 x.im (*.f64 x.im x.im))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (*.f64 x.re x.im)) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (*.f64 x.re x.im)) x.re) |
| ✓ | cost-diff | 0 | (*.f64 x.im (*.f64 x.im x.im)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.re) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.re)) |
| ✓ | cost-diff | 256 | (*.f64 x.re (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.re))) |
| ✓ | cost-diff | 0 | (*.f64 x.re x.im) |
| ✓ | cost-diff | 0 | (*.f64 x.re (*.f64 x.re x.im)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) x.re) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)) |
| ✓ | cost-diff | 0 | (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
| ✓ | cost-diff | 0 | (*.f64 x.re (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)))) |
| 1766× | *-lowering-*.f32 |
| 1766× | *-lowering-*.f64 |
| 1608× | fnmadd-define |
| 1604× | sum3-define |
| 1476× | --lowering--.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 165 |
| 1 | 84 | 157 |
| 2 | 269 | 151 |
| 3 | 916 | 150 |
| 4 | 2767 | 138 |
| 5 | 4832 | 138 |
| 0 | 8028 | 138 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x.re (* x.im (- (* 3 x.re) (/ (* x.im x.im) x.re)))) |
x.re |
(* x.im (- (* 3 x.re) (/ (* x.im x.im) x.re))) |
x.im |
(- (* 3 x.re) (/ (* x.im x.im) x.re)) |
(* 3 x.re) |
3 |
(/ (* x.im x.im) x.re) |
(* x.im x.im) |
(* 3 (* x.re (* x.re x.im))) |
3 |
(* x.re (* x.re x.im)) |
x.re |
(* x.re x.im) |
x.im |
(* x.re (- 0 (/ (* x.im (* x.im x.im)) x.re))) |
x.re |
(- 0 (/ (* x.im (* x.im x.im)) x.re)) |
0 |
(/ (* x.im (* x.im x.im)) x.re) |
(* x.im (* x.im x.im)) |
x.im |
(* x.im x.im) |
(* (* (- 3 (/ (* x.im x.im) (* x.re x.re))) (* x.re x.im)) x.re) |
(* (- 3 (/ (* x.im x.im) (* x.re x.re))) (* x.re x.im)) |
(- 3 (/ (* x.im x.im) (* x.re x.re))) |
3 |
(/ (* x.im x.im) (* x.re x.re)) |
(* x.im x.im) |
x.im |
(* x.re x.re) |
x.re |
(* x.re x.im) |
(/ (* (neg (* x.im (* x.im (* x.im (* x.im x.im))))) x.im) (* x.im (* x.im x.im))) |
(* (neg (* x.im (* x.im (* x.im (* x.im x.im))))) x.im) |
(neg (* x.im (* x.im (* x.im (* x.im x.im))))) |
(* x.im (* x.im (* x.im (* x.im x.im)))) |
x.im |
(* x.im (* x.im (* x.im x.im))) |
(* x.im (* x.im x.im)) |
(* x.im x.im) |
| Outputs |
|---|
(* x.re (* x.im (- (* 3 x.re) (/ (* x.im x.im) x.re)))) |
(-.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im x.im))) |
x.re |
(* x.im (- (* 3 x.re) (/ (* x.im x.im) x.re))) |
(*.f64 x.im (-.f64 (*.f64 x.re #s(literal 3 binary64)) (/.f64 (*.f64 x.im x.im) x.re))) |
x.im |
(- (* 3 x.re) (/ (* x.im x.im) x.re)) |
(-.f64 (*.f64 x.re #s(literal 3 binary64)) (/.f64 (*.f64 x.im x.im) x.re)) |
(* 3 x.re) |
(*.f64 x.re #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(/ (* x.im x.im) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(* x.im x.im) |
(*.f64 x.im x.im) |
(* 3 (* x.re (* x.re x.im))) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
3 |
#s(literal 3 binary64) |
(* 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 (- 0 (/ (* x.im (* x.im x.im)) x.re))) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
x.re |
(- 0 (/ (* x.im (* x.im x.im)) x.re)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) x.re) |
0 |
#s(literal 0 binary64) |
(/ (* x.im (* x.im x.im)) x.re) |
(/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.re) |
(* x.im (* x.im x.im)) |
(*.f64 x.im (*.f64 x.im x.im)) |
x.im |
(* x.im x.im) |
(*.f64 x.im x.im) |
(* (* (- 3 (/ (* x.im x.im) (* x.re x.re))) (* x.re x.im)) x.re) |
(-.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im x.im))) |
(* (- 3 (/ (* x.im x.im) (* x.re x.re))) (* x.re x.im)) |
(*.f64 x.im (-.f64 (*.f64 x.re #s(literal 3 binary64)) (/.f64 (*.f64 x.im x.im) x.re))) |
(- 3 (/ (* x.im x.im) (* x.re x.re))) |
(-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) |
3 |
#s(literal 3 binary64) |
(/ (* x.im x.im) (* x.re x.re)) |
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) |
(* x.im x.im) |
(*.f64 x.im x.im) |
x.im |
(* x.re x.re) |
(*.f64 x.re x.re) |
x.re |
(* x.re x.im) |
(*.f64 x.re x.im) |
(/ (* (neg (* x.im (* x.im (* x.im (* x.im x.im))))) x.im) (* x.im (* x.im x.im))) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(* (neg (* x.im (* x.im (* x.im (* x.im x.im))))) x.im) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im (*.f64 x.im x.im)))) |
(neg (* x.im (* x.im (* x.im (* x.im x.im))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) |
(* x.im (* x.im (* x.im (* x.im x.im)))) |
(*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) |
x.im |
(* 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)) |
(*.f64 x.im (*.f64 x.im x.im)) |
(* x.im x.im) |
(*.f64 x.im x.im) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) |
| ✓ | accuracy | 99.9% | (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) |
| ✓ | accuracy | 99.9% | (*.f64 x.im (*.f64 x.im x.im)) |
| ✓ | accuracy | 18.6% | (/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) x.im) (*.f64 x.im (*.f64 x.im x.im))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) |
| ✓ | accuracy | 96.6% | (*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (*.f64 x.re x.im)) x.re) |
| ✓ | accuracy | 90.9% | (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (*.f64 x.re x.im)) |
| ✓ | accuracy | 75.2% | (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) |
| ✓ | accuracy | 100.0% | (*.f64 x.im x.im) |
| ✓ | accuracy | 99.9% | (*.f64 x.im (*.f64 x.im x.im)) |
| ✓ | accuracy | 92.4% | (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.re) |
| ✓ | accuracy | 91.5% | (*.f64 x.re (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.re))) |
| ✓ | accuracy | 100.0% | (*.f64 x.re x.im) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) |
| ✓ | accuracy | 99.8% | (*.f64 x.re (*.f64 x.re x.im)) |
| ✓ | accuracy | 99.9% | (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)) |
| ✓ | accuracy | 99.8% | (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
| ✓ | accuracy | 96.6% | (*.f64 x.re (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)))) |
| ✓ | accuracy | 86.9% | (/.f64 (*.f64 x.im x.im) x.re) |
| 72.0ms | 245× | 0 | valid |
| 8.0ms | 5× | 4 | valid |
| 6.0ms | 5× | 3 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 227 to 28 computations (87.7% saved)
ival-mult: 30.0ms (64% of total)ival-div: 8.0ms (17.1% of total)ival-sub: 5.0ms (10.7% of total)backward-pass: 2.0ms (4.3% of total)const: 1.0ms (2.1% of total)ival-neg: 1.0ms (2.1% of total)| Inputs |
|---|
#<alt (* x.re (* x.im (- (* 3 x.re) (/ (* x.im x.im) x.re))))> |
#<alt (* x.im (- (* 3 x.re) (/ (* x.im x.im) x.re)))> |
#<alt (- (* 3 x.re) (/ (* x.im x.im) x.re))> |
#<alt (* 3 x.re)> |
#<alt (* 3 (* x.re (* x.re x.im)))> |
#<alt (* x.re (* x.re x.im))> |
#<alt (* x.re x.im)> |
#<alt (* x.re (- 0 (/ (* x.im (* x.im x.im)) x.re)))> |
#<alt (- 0 (/ (* x.im (* x.im x.im)) x.re))> |
#<alt (/ (* x.im (* x.im x.im)) x.re)> |
#<alt (* x.im (* x.im x.im))> |
#<alt (* (* (- 3 (/ (* x.im x.im) (* x.re x.re))) (* x.re x.im)) x.re)> |
#<alt (* (- 3 (/ (* x.im x.im) (* x.re x.re))) (* x.re x.im))> |
#<alt (- 3 (/ (* x.im x.im) (* x.re x.re)))> |
#<alt (/ (* x.im x.im) (* x.re x.re))> |
#<alt (/ (* (neg (* x.im (* x.im (* x.im (* x.im x.im))))) x.im) (* x.im (* x.im x.im)))> |
#<alt (* x.im (* x.im (* x.im (* x.im x.im))))> |
#<alt (* x.im (* x.im (* x.im x.im)))> |
#<alt (/ (* x.im x.im) x.re)> |
#<alt (* x.im x.im)> |
| Outputs |
|---|
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))> |
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))> |
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re)))> |
#<alt (* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re)))> |
#<alt (* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re)))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re)))> |
#<alt (* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re)))> |
#<alt (* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re)))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re))))> |
#<alt (* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re))))> |
#<alt (* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re))))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re)> |
#<alt (/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re)> |
#<alt (/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re)> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* -1 (/ (pow x.im 2) x.re))> |
#<alt (/ (- (* 3 (pow x.re 2)) (pow x.im 2)) x.re)> |
#<alt (/ (- (* 3 (pow x.re 2)) (pow x.im 2)) x.re)> |
#<alt (/ (- (* 3 (pow x.re 2)) (pow x.im 2)) x.re)> |
#<alt (* 3 x.re)> |
#<alt (* x.re (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* x.re (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* x.re (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))> |
#<alt (* 3 x.re)> |
#<alt (* -1 (* x.re (- (/ (pow x.im 2) (pow x.re 2)) 3)))> |
#<alt (* -1 (* x.re (- (/ (pow x.im 2) (pow x.re 2)) 3)))> |
#<alt (* -1 (* x.re (- (/ (pow x.im 2) (pow x.re 2)) 3)))> |
#<alt (* 3 x.re)> |
#<alt (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))> |
#<alt (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))> |
#<alt (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))> |
#<alt (* -1 (/ (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re)))> |
#<alt (* (pow x.im 2) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re)))> |
#<alt (* (pow x.im 2) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re)))> |
#<alt (* -1 (/ (pow x.im 2) x.re))> |
#<alt (* (pow x.im 2) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re)))> |
#<alt (* (pow x.im 2) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re)))> |
#<alt (* (pow x.im 2) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re)))> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 x.re)> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im (pow x.re 2))> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* x.im x.re)> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (/ (pow x.im 3) x.re)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (pow x.im 3)> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))> |
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))> |
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))> |
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* 3 (* x.im (pow x.re 2)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re)))> |
#<alt (* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re)))> |
#<alt (* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re)))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re)))> |
#<alt (* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re)))> |
#<alt (* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re)))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re))))> |
#<alt (* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re))))> |
#<alt (* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re))))> |
#<alt (* -1 (/ (pow x.im 3) x.re))> |
#<alt (/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re)> |
#<alt (/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re)> |
#<alt (/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re)> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))> |
#<alt (* 3 (* x.im x.re))> |
#<alt (* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt (* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2)))))> |
#<alt 3> |
#<alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))> |
#<alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))> |
#<alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))> |
#<alt (* -1 (/ (pow x.im 2) (pow x.re 2)))> |
#<alt (* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* -1 (/ (pow x.im 2) (pow x.re 2)))> |
#<alt (* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))> |
#<alt (* -1 (/ (pow x.im 2) (pow x.re 2)))> |
#<alt (/ (- (* 3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2))> |
#<alt (/ (- (* 3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2))> |
#<alt (/ (- (* 3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2))> |
#<alt 3> |
#<alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))> |
#<alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))> |
#<alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))> |
#<alt 3> |
#<alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))> |
#<alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))> |
#<alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (/ (pow x.im 2) (pow x.re 2))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (* -1 (pow x.im 3))> |
#<alt (pow x.im 5)> |
#<alt (pow x.im 5)> |
#<alt (pow x.im 5)> |
#<alt (pow x.im 5)> |
#<alt (pow x.im 5)> |
#<alt (pow x.im 5)> |
#<alt (pow x.im 5)> |
#<alt (pow x.im 5)> |
#<alt (pow x.im 5)> |
#<alt (pow x.im 5)> |
#<alt (pow x.im 5)> |
#<alt (pow x.im 5)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<alt (pow x.im 4)> |
#<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)> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x.re | @ | 0 | (* x.re (* x.im (- (* 3 x.re) (/ (* x.im x.im) x.re)))) |
| 5.0ms | x.re | @ | inf | (* x.re (* x.im (- (* 3 x.re) (/ (* x.im x.im) x.re)))) |
| 0.0ms | x.im | @ | 0 | (* x.re (* x.im (- (* 3 x.re) (/ (* x.im x.im) x.re)))) |
| 0.0ms | x.im | @ | 0 | (* x.im (* x.im (* x.im (* x.im x.im)))) |
| 0.0ms | x.re | @ | 0 | (* x.re (- 0 (/ (* x.im (* x.im x.im)) x.re))) |
| 1× | batch-egg-rewrite |
| 4168× | *-lowering-*.f32 |
| 4168× | *-lowering-*.f64 |
| 3962× | /-lowering-/.f32 |
| 3962× | /-lowering-/.f64 |
| 1404× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 130 |
| 1 | 150 | 118 |
| 2 | 1206 | 115 |
| 0 | 8645 | 115 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x.re (* x.im (- (* 3 x.re) (/ (* x.im x.im) x.re)))) |
(* x.im (- (* 3 x.re) (/ (* x.im x.im) x.re))) |
(- (* 3 x.re) (/ (* x.im x.im) x.re)) |
(* 3 x.re) |
(* 3 (* x.re (* x.re x.im))) |
(* x.re (* x.re x.im)) |
(* x.re x.im) |
(* x.re (- 0 (/ (* x.im (* x.im x.im)) x.re))) |
(- 0 (/ (* x.im (* x.im x.im)) x.re)) |
(/ (* x.im (* 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.re) |
(* (- 3 (/ (* x.im x.im) (* x.re x.re))) (* x.re x.im)) |
(- 3 (/ (* x.im x.im) (* x.re x.re))) |
(/ (* x.im x.im) (* x.re x.re)) |
(/ (* (neg (* x.im (* x.im (* x.im (* x.im x.im))))) x.im) (* x.im (* x.im x.im))) |
(* x.im (* x.im (* x.im (* x.im x.im)))) |
(* x.im (* x.im (* x.im x.im))) |
(/ (* x.im x.im) x.re) |
(* x.im x.im) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (/.f64 (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im))))) |
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im))) |
(fma.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) (/.f64 (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im))))) |
(fma.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im))) |
(fma.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) (/.f64 (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im))))) |
(fma.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im)) (/.f64 (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im))) |
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re x.im) (/.f64 (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im))))) |
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re x.im) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im))) |
(fma.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)) (/.f64 (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im))))) |
(fma.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im))) |
(fma.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64) (/.f64 (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im))))) |
(fma.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im))) |
(fma.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)) (/.f64 (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im))))) |
(fma.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im))) |
(fma.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re (/.f64 (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im))))) |
(fma.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re (/.f64 (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im))) |
(fma.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) x.im (/.f64 (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im))))) |
(fma.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) x.im (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im (/.f64 (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im))) |
(/.f64 (*.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re #s(literal 3 binary64)) (/.f64 (*.f64 x.im x.im) x.re)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) (*.f64 (/.f64 (*.f64 x.im x.im) x.re) (+.f64 (*.f64 x.re #s(literal 3 binary64)) (/.f64 (*.f64 x.im x.im) x.re)))) (*.f64 (*.f64 x.re x.im) (-.f64 (*.f64 #s(literal 27 binary64) (*.f64 x.re (*.f64 x.re x.re))) (/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re x.re))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re #s(literal 3 binary64)) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 (*.f64 x.re x.im) (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) (/.f64 (*.f64 x.im x.im) (/.f64 x.re (/.f64 (*.f64 x.im x.im) x.re))))))) |
(/.f64 (*.f64 (*.f64 x.re x.im) (-.f64 (*.f64 #s(literal 27 binary64) (*.f64 x.re (*.f64 x.re x.re))) (/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re x.re))))) (+.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) (*.f64 (/.f64 (*.f64 x.im x.im) x.re) (+.f64 (*.f64 x.re #s(literal 3 binary64)) (/.f64 (*.f64 x.im x.im) x.re))))) |
(/.f64 (*.f64 (*.f64 x.re x.im) (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) (/.f64 (*.f64 x.im x.im) (/.f64 x.re (/.f64 (*.f64 x.im x.im) x.re))))) (+.f64 (*.f64 x.re #s(literal 3 binary64)) (/.f64 (*.f64 x.im x.im) x.re))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x.re x.im) (-.f64 (*.f64 #s(literal 27 binary64) (*.f64 x.re (*.f64 x.re x.re))) (/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re x.re)))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) (*.f64 (/.f64 (*.f64 x.im x.im) x.re) (+.f64 (*.f64 x.re #s(literal 3 binary64)) (/.f64 (*.f64 x.im x.im) x.re)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x.re x.im) (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) (/.f64 (*.f64 x.im x.im) (/.f64 x.re (/.f64 (*.f64 x.im x.im) x.re)))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x.re #s(literal 3 binary64)) (/.f64 (*.f64 x.im x.im) x.re)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)) (-.f64 (*.f64 (/.f64 (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im)))) (/.f64 (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im))))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (/.f64 (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)) (*.f64 (/.f64 (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im)))) (/.f64 (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im)))))) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (/.f64 (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im)))) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im)))) |
(*.f64 x.re (*.f64 x.im (-.f64 (*.f64 x.re #s(literal 3 binary64)) (/.f64 (*.f64 x.im x.im) x.re)))) |
(*.f64 x.im (*.f64 x.re (-.f64 (*.f64 x.re #s(literal 3 binary64)) (/.f64 (*.f64 x.im x.im) x.re)))) |
(*.f64 x.im (*.f64 (-.f64 (*.f64 x.re #s(literal 3 binary64)) (/.f64 (*.f64 x.im x.im) x.re)) x.re)) |
(*.f64 (-.f64 (*.f64 x.re #s(literal 3 binary64)) (/.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re x.im)) |
(*.f64 (*.f64 x.im (-.f64 (*.f64 x.re #s(literal 3 binary64)) (/.f64 (*.f64 x.im x.im) x.re))) x.re) |
(*.f64 (*.f64 x.re x.im) (-.f64 (*.f64 x.re #s(literal 3 binary64)) (/.f64 (*.f64 x.im x.im) x.re))) |
(*.f64 (*.f64 x.re (-.f64 (*.f64 x.re #s(literal 3 binary64)) (/.f64 (*.f64 x.im x.im) x.re))) x.im) |
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(*.f64 (/.f64 (*.f64 x.im x.im) (pow.f64 x.im #s(literal 3/2 binary64))) (/.f64 (*.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (pow.f64 x.im #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x.im) (*.f64 x.im x.im)) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) x.im)) |
(*.f64 (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (pow.f64 x.im #s(literal 3/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x.im) (pow.f64 x.im #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x.im) (pow.f64 x.im #s(literal 3/2 binary64))) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (pow.f64 x.im #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im x.im)) (/.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) x.im)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (pow.f64 x.im #s(literal 3/2 binary64))) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (pow.f64 x.im #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3/2 binary64))) (/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im (*.f64 x.im x.im))) (pow.f64 x.im #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (*.f64 x.im #s(literal -1 binary64)) x.im) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.im x.im))) |
(*.f64 (/.f64 (*.f64 x.im #s(literal -1 binary64)) (*.f64 x.im x.im)) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) x.im)) |
(*.f64 (/.f64 (*.f64 x.im #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3/2 binary64))) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (pow.f64 x.im #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x.im))) |
(*.f64 (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) x.im)) (/.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) |
(*.f64 (/.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) x.im)) |
(*.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (/.f64 (-.f64 #s(literal 0 binary64) x.im) x.im)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im (*.f64 x.im x.im)))) (pow.f64 x.im #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 3/2 binary64)))) |
(+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) |
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 5 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x.im) #s(literal 2 binary64)) (*.f64 (log.f64 x.im) #s(literal 3 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x.im) #s(literal 3 binary64)) (*.f64 (log.f64 x.im) #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))) |
(neg.f64 (*.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im (*.f64 x.im x.im)))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) #s(literal 0 binary64)))) |
(pow.f64 x.im #s(literal 5 binary64)) |
(*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im x.im))) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im x.im)) |
(*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) x.im) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))) |
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x.im x.im)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x.im) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x.im) #s(literal 2 binary64)) (*.f64 (log.f64 x.im) #s(literal 2 binary64)))) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) #s(literal 2 binary64)) |
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) |
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x.re (*.f64 x.im x.im))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re))) |
(/.f64 x.im (/.f64 x.re x.im)) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) x.re)) |
(/.f64 #s(literal 1 binary64) (/.f64 x.re (*.f64 x.im x.im))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x.re (*.f64 x.im x.im)))) |
(pow.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64)) |
(*.f64 x.im (/.f64 x.im x.re)) |
(*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 1 binary64) x.re)) |
(*.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal -1 binary64) x.re)) |
(*.f64 (/.f64 x.im x.re) x.im) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im x.im) x.re)) |
(*.f64 (/.f64 #s(literal 1 binary64) x.re) (*.f64 x.im x.im)) |
(*.f64 (/.f64 #s(literal 1 binary64) x.re) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re))) |
(*.f64 (/.f64 x.im #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x.im) x.re)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal -1 binary64)) (/.f64 x.im x.re)) |
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(pow.f64 x.im #s(literal 2 binary64)) |
(pow.f64 (*.f64 x.im x.im) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x.im)) #s(literal 2 binary64)) |
(*.f64 x.im x.im) |
(*.f64 (*.f64 x.im x.im) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(*.f64 (exp.f64 (log.f64 x.im)) (exp.f64 (log.f64 x.im))) |
| 1× | egg-herbie |
| 4390× | *-lowering-*.f32 |
| 4390× | *-lowering-*.f64 |
| 1778× | /-lowering-/.f32 |
| 1778× | /-lowering-/.f64 |
| 1482× | times-frac |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 2646 |
| 1 | 233 | 2193 |
| 2 | 752 | 2112 |
| 3 | 2773 | 2094 |
| 0 | 8410 | 2094 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(* 3 (* x.im (pow x.re 2))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* 3 (* x.im (pow x.re 2))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* 3 (* x.im (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* 3 (* x.im x.re)) |
(* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))) |
(* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))) |
(* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))) |
(* -1 (/ (pow x.im 3) x.re)) |
(* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))) |
(* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))) |
(* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))) |
(* -1 (/ (pow x.im 3) x.re)) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re) |
(* 3 (* x.im x.re)) |
(* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* 3 (* x.im x.re)) |
(* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))) |
(* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))) |
(* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))) |
(* -1 (/ (pow x.im 2) x.re)) |
(/ (- (* 3 (pow x.re 2)) (pow x.im 2)) x.re) |
(/ (- (* 3 (pow x.re 2)) (pow x.im 2)) x.re) |
(/ (- (* 3 (pow x.re 2)) (pow x.im 2)) x.re) |
(* 3 x.re) |
(* x.re (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* x.re (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* x.re (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* 3 x.re) |
(* -1 (* x.re (- (/ (pow x.im 2) (pow x.re 2)) 3))) |
(* -1 (* x.re (- (/ (pow x.im 2) (pow x.re 2)) 3))) |
(* -1 (* x.re (- (/ (pow x.im 2) (pow x.re 2)) 3))) |
(* 3 x.re) |
(+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re)) |
(+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re)) |
(+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re)) |
(* -1 (/ (pow x.im 2) x.re)) |
(* (pow x.im 2) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(* (pow x.im 2) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(* (pow x.im 2) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(* -1 (/ (pow x.im 2) x.re)) |
(* (pow x.im 2) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(* (pow x.im 2) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(* (pow x.im 2) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 x.re) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im (pow x.re 2))) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im (pow x.re 2)) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* x.im x.re) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (/ (pow x.im 3) x.re)) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(/ (pow x.im 3) x.re) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(pow x.im 3) |
(* 3 (* x.im (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* -1 (pow x.im 3)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* -1 (pow x.im 3)) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(* 3 (* x.im (pow x.re 2))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* 3 (* x.im (pow x.re 2))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* 3 (* x.im x.re)) |
(* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))) |
(* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))) |
(* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))) |
(* -1 (/ (pow x.im 3) x.re)) |
(* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(* -1 (/ (pow x.im 3) x.re)) |
(* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))) |
(* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))) |
(* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))) |
(* -1 (/ (pow x.im 3) x.re)) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re) |
(* 3 (* x.im x.re)) |
(* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* 3 (* x.im x.re)) |
(* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))) |
(* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))) |
(* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))) |
3 |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(* -1 (/ (pow x.im 2) (pow x.re 2))) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* -1 (/ (pow x.im 2) (pow x.re 2))) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(* -1 (/ (pow x.im 2) (pow x.re 2))) |
(/ (- (* 3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2)) |
(/ (- (* 3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2)) |
(/ (- (* 3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2)) |
3 |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
3 |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(+ 3 (* -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.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)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(* -1 (pow x.im 3)) |
(pow x.im 5) |
(pow x.im 5) |
(pow x.im 5) |
(pow x.im 5) |
(pow x.im 5) |
(pow x.im 5) |
(pow x.im 5) |
(pow x.im 5) |
(pow x.im 5) |
(pow x.im 5) |
(pow x.im 5) |
(pow x.im 5) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(pow x.im 4) |
(/ (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) |
| Outputs |
|---|
(* -1 (pow x.im 3)) |
(*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* 3 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) |
(* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (/ (pow x.im 3) x.re)) |
(/.f64 (*.f64 x.im (*.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) x.re)) |
(* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (/ (pow x.im 3) x.re)) |
(/.f64 (*.f64 x.im (*.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) x.re)) |
(* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (/ (pow x.im 3) x.re)) |
(/.f64 (*.f64 x.im (*.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) x.re)) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* 3 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) |
(* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* 3 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) |
(* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (/ (pow x.im 2) x.re)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) |
(/ (- (* 3 (pow x.re 2)) (pow x.im 2)) x.re) |
(-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)) |
(/ (- (* 3 (pow x.re 2)) (pow x.im 2)) x.re) |
(-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)) |
(/ (- (* 3 (pow x.re 2)) (pow x.im 2)) x.re) |
(-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)) |
(* 3 x.re) |
(*.f64 #s(literal 3 binary64) x.re) |
(* x.re (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)) |
(* x.re (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)) |
(* x.re (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)) |
(* 3 x.re) |
(*.f64 #s(literal 3 binary64) x.re) |
(* -1 (* x.re (- (/ (pow x.im 2) (pow x.re 2)) 3))) |
(-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)) |
(* -1 (* x.re (- (/ (pow x.im 2) (pow x.re 2)) 3))) |
(-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)) |
(* -1 (* x.re (- (/ (pow x.im 2) (pow x.re 2)) 3))) |
(-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)) |
(* 3 x.re) |
(*.f64 #s(literal 3 binary64) x.re) |
(+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re)) |
(-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)) |
(+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re)) |
(-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)) |
(+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re)) |
(-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)) |
(* -1 (/ (pow x.im 2) x.re)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) |
(* (pow x.im 2) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)) |
(* (pow x.im 2) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)) |
(* (pow x.im 2) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)) |
(* -1 (/ (pow x.im 2) x.re)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) |
(* (pow x.im 2) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)) |
(* (pow x.im 2) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
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(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) |
(* 3 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) |
(* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* 3 x.re))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (/ (pow x.im 3) x.re)) |
(/.f64 (*.f64 x.im (*.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) x.re)) |
(* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* (pow x.im 3) (- (* 3 (/ x.re (pow x.im 2))) (/ 1 x.re))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (/ (pow x.im 3) x.re)) |
(/.f64 (*.f64 x.im (*.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) x.re)) |
(* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (* (pow x.im 3) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (/ (pow x.im 3) x.re)) |
(/.f64 (*.f64 x.im (*.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) x.re)) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) x.re) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* 3 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) |
(* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* x.re (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* 3 (* x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) |
(* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
(* -1 (* x.re (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))) |
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
(* -1 (/ (pow x.im 2) (pow x.re 2))) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
(* -1 (/ (pow x.im 2) (pow x.re 2))) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
(* -1 (/ (pow x.im 2) (pow x.re 2))) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
(/ (- (* 3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2)) |
(-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
(/ (- (* 3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2)) |
(-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
(/ (- (* 3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2)) |
(-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) |
(-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(* -1 (pow x.im 3)) |
(*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(* -1 (pow x.im 3)) |
(*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(pow x.im 5) |
(pow.f64 x.im #s(literal 5 binary64)) |
(pow x.im 5) |
(pow.f64 x.im #s(literal 5 binary64)) |
(pow x.im 5) |
(pow.f64 x.im #s(literal 5 binary64)) |
(pow x.im 5) |
(pow.f64 x.im #s(literal 5 binary64)) |
(pow x.im 5) |
(pow.f64 x.im #s(literal 5 binary64)) |
(pow x.im 5) |
(pow.f64 x.im #s(literal 5 binary64)) |
(pow x.im 5) |
(pow.f64 x.im #s(literal 5 binary64)) |
(pow x.im 5) |
(pow.f64 x.im #s(literal 5 binary64)) |
(pow x.im 5) |
(pow.f64 x.im #s(literal 5 binary64)) |
(pow x.im 5) |
(pow.f64 x.im #s(literal 5 binary64)) |
(pow x.im 5) |
(pow.f64 x.im #s(literal 5 binary64)) |
(pow x.im 5) |
(pow.f64 x.im #s(literal 5 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(/ (pow x.im 2) x.re) |
(/.f64 (*.f64 x.im x.im) x.re) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(pow x.im 2) |
(*.f64 x.im x.im) |
Compiled 26414 to 2506 computations (90.5% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1262 | 5 | 1267 |
| Fresh | 1 | 5 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1267 | 15 | 1282 |
| Status | Accuracy | Program |
|---|---|---|
| 23.2% | (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) | |
| 51.4% | (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 x.im x.re))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 33.8% | (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (+.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re)))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 79.1% | (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im)) | |
| ✓ | 53.5% | (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
| 37.8% | (*.f64 (*.f64 x.im x.im) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im))) | |
| ✓ | 60.4% | (*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) |
| 57.2% | (*.f64 x.re (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) (/.f64 x.re x.im)))) | |
| 57.1% | (*.f64 x.re (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.im))) | |
| ✓ | 93.0% | (*.f64 x.re (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)))) |
| 57.1% | (*.f64 x.re (neg.f64 (/.f64 x.im (/.f64 x.re (*.f64 x.im x.im))))) | |
| 85.4% | (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) | |
| ✓ | 48.4% | (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
| ✓ | 53.5% | (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) |
| 57.1% | (neg.f64 (/.f64 x.re (/.f64 (/.f64 x.re (*.f64 x.im x.im)) x.im))) |
Compiled 737 to 271 computations (63.2% saved)
| Inputs |
|---|
(*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
(*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) |
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re) |
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(neg.f64 (/.f64 x.re (/.f64 (/.f64 x.re (*.f64 x.im x.im)) x.im))) |
(*.f64 x.re (neg.f64 (/.f64 x.im (/.f64 x.re (*.f64 x.im x.im))))) |
(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) |
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.im))) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) (/.f64 x.re x.im)))) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.re))) |
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im))) |
(*.f64 x.re (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)))) |
(*.f64 x.re (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (*.f64 x.re x.im)) x.re) |
(+.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im)) |
(/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) x.im) (*.f64 x.im (*.f64 x.im x.im))) |
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im) x.im) (/.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im))) (*.f64 x.im (*.f64 x.im x.im))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im))) (/.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 x.im x.im)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) |
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 x.im x.re))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (+.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re)))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.im x.im) (*.f64 x.re (-.f64 x.re x.im))))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 x.re (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) |
3 calls:
| 31.0ms | x.re |
| 10.0ms | x.im |
| 9.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | x.re |
| 98.3% | 3 | x.im |
| 96.4% | 2 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 27 to 15 computations (44.4% saved)
| Inputs |
|---|
(*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
(*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) |
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re) |
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(neg.f64 (/.f64 x.re (/.f64 (/.f64 x.re (*.f64 x.im x.im)) x.im))) |
(*.f64 x.re (neg.f64 (/.f64 x.im (/.f64 x.re (*.f64 x.im x.im))))) |
(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) |
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.im))) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) (/.f64 x.re x.im)))) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.re))) |
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im))) |
(*.f64 x.re (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)))) |
(*.f64 x.re (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))) |
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (*.f64 x.re x.im)) x.re) |
(+.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im)) |
(/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) x.im) (*.f64 x.im (*.f64 x.im x.im))) |
| Outputs |
|---|
(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) |
(*.f64 x.re (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) |
1 calls:
| 7.0ms | x.re |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | x.re |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
(*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) |
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re) |
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(neg.f64 (/.f64 x.re (/.f64 (/.f64 x.re (*.f64 x.im x.im)) x.im))) |
(*.f64 x.re (neg.f64 (/.f64 x.im (/.f64 x.re (*.f64 x.im x.im))))) |
(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) |
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.im))) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) (/.f64 x.re x.im)))) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.re))) |
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im))) |
(*.f64 x.re (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)))) |
| Outputs |
|---|
(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) |
(*.f64 x.re (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)))) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) |
1 calls:
| 5.0ms | x.re |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | x.re |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
(*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) |
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re) |
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(neg.f64 (/.f64 x.re (/.f64 (/.f64 x.re (*.f64 x.im x.im)) x.im))) |
(*.f64 x.re (neg.f64 (/.f64 x.im (/.f64 x.re (*.f64 x.im x.im))))) |
(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) |
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) x.re) x.im))) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) (/.f64 x.re x.im)))) |
(*.f64 x.re (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.re))) |
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im))) |
| Outputs |
|---|
(*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) |
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) |
(*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) |
2 calls:
| 22.0ms | x.re |
| 5.0ms | x.im |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 3 | x.im |
| 94.0% | 2 | x.re |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
(*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) |
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re) |
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(neg.f64 (/.f64 x.re (/.f64 (/.f64 x.re (*.f64 x.im x.im)) x.im))) |
(*.f64 x.re (neg.f64 (/.f64 x.im (/.f64 x.re (*.f64 x.im x.im))))) |
(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) |
| Outputs |
|---|
(*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) |
(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) |
(*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) |
1 calls:
| 4.0ms | x.im |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 3 | x.im |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
(*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) |
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re) |
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
(neg.f64 (/.f64 x.re (/.f64 (/.f64 x.re (*.f64 x.im x.im)) x.im))) |
(*.f64 x.re (neg.f64 (/.f64 x.im (/.f64 x.re (*.f64 x.im x.im))))) |
| Outputs |
|---|
(*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) |
2 calls:
| 3.0ms | x.im |
| 3.0ms | x.re |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.4% | 2 | x.re |
| 81.1% | 2 | x.im |
Compiled 6 to 4 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) |
| Outputs |
|---|
(*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) |
2 calls:
| 1.0ms | x.re |
| 1.0ms | x.im |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.4% | 1 | x.im |
| 60.4% | 1 | x.re |
Compiled 6 to 4 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 1.5416256909831827e+251 | 3.4294861830145145e+253 |
| 4.0ms | 3829490594944041500.0 | 11004461089206667000.0 |
| 31.0ms | 144× | 0 | valid |
Compiled 302 to 187 computations (38.1% saved)
ival-mult: 6.0ms (73.6% of total)ival-sub: 1.0ms (12.3% of total)ival-add: 1.0ms (12.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.5416256909831827e+251 | 3.4294861830145145e+253 |
| 21.0ms | 2.9487563123562097e+54 | 1.2624801644076127e+55 |
| 18.0ms | 208× | 0 | valid |
Compiled 414 to 261 computations (37% saved)
ival-mult: 9.0ms (76.2% of total)ival-add: 2.0ms (16.9% of total)ival-sub: 1.0ms (8.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.5416256909831827e+251 | 3.4294861830145145e+253 |
| 9.0ms | 3829490594944041500.0 | 11004461089206667000.0 |
| 17.0ms | 160× | 0 | valid |
Compiled 298 to 191 computations (35.9% saved)
ival-mult: 7.0ms (77.9% of total)ival-sub: 1.0ms (11.1% of total)ival-add: 1.0ms (11.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 8.202279962912732e+153 | 3.702678675861691e+155 |
| 11.0ms | 6.505897144844475e-97 | 4.905211793260993e-96 |
| 30.0ms | 208× | 0 | valid |
Compiled 331 to 216 computations (34.7% saved)
ival-mult: 21.0ms (88.6% of total)ival-add: 2.0ms (8.4% of total)ival-sub: 1.0ms (4.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 8.202279962912732e+153 | 3.702678675861691e+155 |
| 15.0ms | 6.505897144844475e-97 | 4.905211793260993e-96 |
| 24.0ms | 208× | 0 | valid |
Compiled 331 to 216 computations (34.7% saved)
ival-mult: 11.0ms (61.8% of total)ival-add: 6.0ms (33.7% of total)ival-sub: 1.0ms (5.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.714712647221343e+37 | 3.94851767837195e+37 |
| 9.0ms | 80× | 0 | valid |
Compiled 121 to 80 computations (33.9% saved)
ival-mult: 6.0ms (87.3% of total)ival-add: 1.0ms (14.5% of total)ival-sub: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 48× | *-commutative_binary64 |
| 28× | +-commutative_binary64 |
| 22× | sub-neg_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 216 |
| 1 | 104 | 216 |
| 2 | 127 | 216 |
| 3 | 140 | 216 |
| 4 | 146 | 216 |
| 5 | 147 | 216 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x.re #s(literal 5000000000000000000 binary64)) (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (if (<=.f64 x.re #s(literal 719999999999999994062632668424216300400670671889443741504030283043640262202489374237831755829983309666169914337594036810331104055037981520298585443752762975748665674578677255355317328426036284673212719710042533442802267739639358024301429491353683755008 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))))) |
(if (<=.f64 x.re #s(literal 4299999999999999758173599974168460634176216655504343040 binary64)) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (if (<=.f64 x.re #s(literal 350000000000000004179462109443664921995014892993380114711353749935091037710162498870840105976686027100252555649814849766352892177253325297343803324817903943606491012440943605999332125519768986309352416466856487095003596481727639043654417906330899578880 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))))) |
(if (<=.f64 x.re #s(literal 10000000000000000000 binary64)) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (if (<=.f64 x.re #s(literal 599999999999999978094556274183636788013305600594775207700811566243062033900588751185647257315920154291733695115632434181415266884667982326972042907942556486841752919299089856312237555604627002203979639899629497857595903923132382343832256007513208520704 binary64)) (*.f64 x.re (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)))) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))))) |
(if (<=.f64 x.im #s(literal 3174478038283735/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) (if (<=.f64 x.im #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) (*.f64 (neg.f64 (*.f64 x.im x.im)) x.im))) |
(if (<=.f64 x.im #s(literal 5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) (if (<=.f64 x.im #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 (neg.f64 (*.f64 x.im x.im)) x.im))) |
(if (<=.f64 x.re #s(literal 21000000000000001038407337444053614592 binary64)) (*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im)))) |
(*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) |
| Outputs |
|---|
(if (<=.f64 x.re #s(literal 5000000000000000000 binary64)) (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (if (<=.f64 x.re #s(literal 719999999999999994062632668424216300400670671889443741504030283043640262202489374237831755829983309666169914337594036810331104055037981520298585443752762975748665674578677255355317328426036284673212719710042533442802267739639358024301429491353683755008 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))))) |
(if (<=.f64 x.re #s(literal 5000000000000000000 binary64)) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) (if (<=.f64 x.re #s(literal 719999999999999994062632668424216300400670671889443741504030283043640262202489374237831755829983309666169914337594036810331104055037981520298585443752762975748665674578677255355317328426036284673212719710042533442802267739639358024301429491353683755008 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))))) |
(if (<=.f64 x.re #s(literal 4299999999999999758173599974168460634176216655504343040 binary64)) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (if (<=.f64 x.re #s(literal 350000000000000004179462109443664921995014892993380114711353749935091037710162498870840105976686027100252555649814849766352892177253325297343803324817903943606491012440943605999332125519768986309352416466856487095003596481727639043654417906330899578880 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))))) |
(if (<=.f64 x.re #s(literal 10000000000000000000 binary64)) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (if (<=.f64 x.re #s(literal 599999999999999978094556274183636788013305600594775207700811566243062033900588751185647257315920154291733695115632434181415266884667982326972042907942556486841752919299089856312237555604627002203979639899629497857595903923132382343832256007513208520704 binary64)) (*.f64 x.re (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re)))) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))))) |
(if (<=.f64 x.re #s(literal 10000000000000000000 binary64)) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (if (<=.f64 x.re #s(literal 599999999999999978094556274183636788013305600594775207700811566243062033900588751185647257315920154291733695115632434181415266884667982326972042907942556486841752919299089856312237555604627002203979639899629497857595903923132382343832256007513208520704 binary64)) (*.f64 x.re (*.f64 x.im (-.f64 (*.f64 x.re #s(literal 3 binary64)) (/.f64 (*.f64 x.im x.im) x.re)))) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))))) |
(if (<=.f64 x.im #s(literal 3174478038283735/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) (if (<=.f64 x.im #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) (*.f64 (neg.f64 (*.f64 x.im x.im)) x.im))) |
(if (<=.f64 x.im #s(literal 3174478038283735/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) (if (<=.f64 x.im #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))) |
(if (<=.f64 x.im #s(literal 5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) (if (<=.f64 x.im #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 (neg.f64 (*.f64 x.im x.im)) x.im))) |
(if (<=.f64 x.im #s(literal 5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) (if (<=.f64 x.im #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))) |
(if (<=.f64 x.re #s(literal 21000000000000001038407337444053614592 binary64)) (*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im)))) |
(if (<=.f64 x.re #s(literal 21000000000000001038407337444053614592 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im)))) |
(*.f64 (neg.f64 (*.f64 x.im x.im)) x.im) |
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) |
| 4114× | *-lowering-*.f32 |
| 4114× | *-lowering-*.f64 |
| 3744× | *-lowering-*.f32 |
| 3744× | *-lowering-*.f64 |
| 3202× | *-lowering-*.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 3097 |
| 1 | 580 | 2425 |
| 2 | 2278 | 2138 |
| 0 | 8002 | 2138 |
| 0 | 28 | 130 |
| 1 | 172 | 107 |
| 2 | 1492 | 106 |
| 0 | 8382 | 106 |
| 0 | 16 | 66 |
| 1 | 102 | 55 |
| 0 | 833 | 55 |
| 0 | 78 | 1509 |
| 1 | 254 | 1236 |
| 2 | 800 | 1206 |
| 3 | 3574 | 1206 |
| 0 | 8819 | 1206 |
| 0 | 27 | 147 |
| 1 | 158 | 118 |
| 0 | 1246 | 118 |
| 0 | 90 | 2514 |
| 1 | 290 | 2058 |
| 2 | 977 | 1995 |
| 3 | 3708 | 1977 |
| 0 | 8413 | 1977 |
| 0 | 11 | 15 |
| 1 | 30 | 14 |
| 2 | 66 | 13 |
| 3 | 179 | 10 |
| 4 | 482 | 9 |
| 5 | 2059 | 8 |
| 6 | 3275 | 8 |
| 7 | 7650 | 8 |
| 0 | 8110 | 8 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 733 to 383 computations (47.7% saved)
Compiled 932 to 382 computations (59% saved)
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