
Time bar (total: 7.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 21 to 13 computations (38.1% saved)
| 973.0ms | 8 256× | 0 | valid |
ival-mult: 423.0ms (73.2% of total)ival-add: 113.0ms (19.5% of total)ival-sub: 34.0ms (5.9% of total)ival-true: 5.0ms (0.9% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 23 | 0 | - | 0 | - | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| 20 | 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)) |
| 16 | 0 | - | 0 | - | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
| 0 | 0 | - | 0 | - | (*.f64 x.re x.im) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
| 0 | 0 | - | 0 | - | (*.f64 x.im x.im) |
| 0 | 0 | - | 0 | - | (*.f64 x.re x.re) |
| 0 | 0 | - | 0 | - | (*.f64 x.im x.re) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| 0 | 0 | - | 0 | - | x.re |
| 0 | 0 | - | 0 | - | x.im |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | nan-rescue | 23 | 0 |
| ↳ | (*.f64 x.re x.re) | overflow | 71 | |
| ↳ | (*.f64 x.im x.im) | overflow | 69 | |
+.f64 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | nan-rescue | 20 | 0 |
| ↳ | (*.f64 x.re x.re) | overflow | 71 | |
| ↳ | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | overflow | 117 | |
| ↳ | (*.f64 x.im x.im) | overflow | 69 | |
| ↳ | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) | overflow | 116 | |
| ↳ | (*.f64 x.im x.re) | overflow | 34 | |
| ↳ | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) | overflow | 68 | |
| ↳ | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | overflow | 35 | |
| ↳ | (*.f64 x.re x.im) | overflow | 34 | |
*.f64 | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) | n*o | 16 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 48 | 0 |
| - | 0 | 208 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 48 | 0 | 0 |
| - | 0 | 0 | 208 |
| number | freq |
|---|---|
| 0 | 208 |
| 1 | 37 |
| 2 | 11 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 63.0ms | 512× | 0 | valid |
Compiled 283 to 59 computations (79.2% saved)
ival-mult: 39.0ms (84.4% of total)ival-add: 4.0ms (8.7% of total)ival-sub: 2.0ms (4.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 107 |
| 1 | 99 | 89 |
| 2 | 292 | 85 |
| 3 | 1259 | 57 |
| 4 | 3111 | 55 |
| 5 | 5133 | 55 |
| 6 | 6048 | 55 |
| 7 | 6433 | 55 |
| 8 | 6553 | 55 |
| 9 | 6657 | 55 |
| 10 | 6664 | 55 |
| 11 | 7747 | 55 |
| 0 | 11 | 19 |
| 0 | 20 | 19 |
| 1 | 34 | 17 |
| 2 | 65 | 17 |
| 3 | 151 | 11 |
| 4 | 358 | 11 |
| 5 | 1010 | 11 |
| 6 | 1929 | 11 |
| 7 | 4829 | 11 |
| 8 | 7194 | 11 |
| 0 | 8107 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Outputs |
|---|
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) |
(abs x.re)
(negabs x.im)
Compiled 19 to 11 computations (42.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 81.4% | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 19 to 11 computations (42.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x.re x.re) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) | |
| cost-diff | 128 | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | |
| cost-diff | 192 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 65 |
| 0 | 20 | 65 |
| 1 | 34 | 59 |
| 2 | 65 | 59 |
| 3 | 151 | 53 |
| 4 | 358 | 53 |
| 5 | 1010 | 53 |
| 6 | 1929 | 53 |
| 7 | 4829 | 53 |
| 8 | 7194 | 53 |
| 0 | 8107 | 53 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 x.re x.re) |
x.re |
(*.f64 x.im x.im) |
x.im |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
| Outputs |
|---|
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) |
(*.f64 x.re x.re) |
x.re |
(*.f64 x.im x.im) |
x.im |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(*.f64 x.im x.re) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15625 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) | |
| accuracy | 3.837788195260278 | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) | |
| accuracy | 5.081989966604116 | (+.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 | 5.140602294132265 | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| 41.0ms | 256× | 0 | valid |
Compiled 132 to 24 computations (81.8% saved)
ival-mult: 28.0ms (90% of total)ival-add: 2.0ms (6.4% of total)ival-sub: 1.0ms (3.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
(*.f64 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 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| Outputs |
|---|
(* 2 (* x.im x.re)) |
(* -1 (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(pow x.re 2) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(* 2 (* x.im (pow x.re 2))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (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 (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 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 (+ (* 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)))) |
(* (pow x.im 2) (- (/ (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) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* -1 (* (pow x.im 3) (+ 1 (* -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))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x.im | @ | -inf | ((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re 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)) |
| 2.0ms | x.im | @ | 0 | ((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re 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)) |
| 2.0ms | x.im | @ | inf | ((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re 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)) |
| 2.0ms | x.re | @ | 0 | ((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re 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)) |
| 2.0ms | x.re | @ | inf | ((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re 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)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 180 |
| 1 | 182 | 170 |
| 2 | 586 | 170 |
| 3 | 2560 | 170 |
| 4 | 6935 | 170 |
| 0 | 8454 | 170 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (* x.im x.re)) |
(* -1 (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(pow x.re 2) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(* 2 (* x.im (pow x.re 2))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (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 (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 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 (+ (* 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)))) |
(* (pow x.im 2) (- (/ (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) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* -1 (* (pow x.im 3) (+ 1 (* -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))))))) |
| Outputs |
|---|
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) |
(* -1 (pow x.im 2)) |
(*.f64 (neg.f64 x.im) x.im) |
(- (pow x.re 2) (pow x.im 2)) |
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) |
(* -1 (pow x.im 3)) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) |
(* x.im (pow x.re 2)) |
(*.f64 (*.f64 x.re x.re) x.im) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) |
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) |
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 54 |
| 0 | 20 | 54 |
| 1 | 79 | 42 |
| 0 | 536 | 41 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
(*.f64 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 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| Outputs |
|---|
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) |
(*.f64 x.im (+.f64 x.re x.re)) |
(*.f64 x.re (+.f64 x.im x.im)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(fma.f64 x.im x.re (*.f64 x.im x.re)) |
(fma.f64 x.re x.im (*.f64 x.im x.re)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re)))) |
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) |
(/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)) (*.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (*.f64 (neg.f64 x.im) x.im)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) |
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) |
(fma.f64 x.im (neg.f64 x.im) (*.f64 x.re x.re)) |
(fma.f64 x.re x.re (*.f64 (neg.f64 x.im) x.im)) |
(-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 x.im x.im (*.f64 x.re x.re))) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 x.im x.im (*.f64 x.re x.re)))) |
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(+.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 x.re x.re)) |
(+.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) |
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) |
(*.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.im) |
(*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) |
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.im x.im (*.f64 x.re x.re))) |
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) |
(fma.f64 (*.f64 x.re x.re) x.im (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(fma.f64 x.im (*.f64 x.re x.re) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im))) |
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(+.f64 (*.f64 x.im (*.f64 x.re x.re)) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im))) |
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64))) |
(*.f64 x.re x.re) |
(pow.f64 x.re #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) (-.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) |
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) |
(fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.im (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) |
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)))) |
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(+.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) |
(*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) |
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x.im x.re) x.re (*.f64 (*.f64 x.im x.re) x.re)) |
(fma.f64 x.re (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.im x.re))) |
(+.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 x.im x.re) x.re)) |
(+.f64 (*.f64 x.re (*.f64 x.im x.re)) (*.f64 x.re (*.f64 x.im x.re))) |
Compiled 2 335 to 321 computations (86.3% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 82 | 9 | 91 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 83 | 9 | 92 |
| Status | Accuracy | Program |
|---|---|---|
| 16.7% | (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 31.0% | (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| ▶ | 35.3% | (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 81.4% | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) | |
| ▶ | 91.9% | (+.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)) |
| ▶ | 65.8% | (+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| ▶ | 65.9% | (+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 89.7% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) | |
| ▶ | 46.3% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
Compiled 458 to 270 computations (41% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) x.im) | |
| cost-diff | 192 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| cost-diff | 448 | (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) | |
| cost-diff | 0 | (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) | |
| cost-diff | 128 | (+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| cost-diff | 192 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| cost-diff | 0 | #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) | |
| cost-diff | 192 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| cost-diff | 448 | (+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| cost-diff | 0 | (*.f64 x.re x.re) | |
| cost-diff | 0 | (*.f64 (*.f64 x.re x.re) x.im) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) | |
| cost-diff | 0 | (+.f64 x.im x.re) | |
| cost-diff | 0 | (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) | |
| cost-diff | 192 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| cost-diff | 704 | (+.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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 382 |
| 0 | 70 | 382 |
| 1 | 115 | 352 |
| 2 | 199 | 350 |
| 3 | 559 | 334 |
| 4 | 1480 | 334 |
| 5 | 2665 | 334 |
| 6 | 4871 | 334 |
| 7 | 7373 | 334 |
| 0 | 8146 | 331 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.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 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) |
(+.f64 x.im x.re) |
x.im |
x.re |
(*.f64 (-.f64 x.re x.im) x.im) |
(-.f64 x.re x.im) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(*.f64 (*.f64 x.re x.re) x.im) |
(*.f64 x.re x.re) |
x.re |
x.im |
#s(literal 3 binary64) |
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) |
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) |
(*.f64 (neg.f64 x.im) x.im) |
(neg.f64 x.im) |
x.im |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
x.re |
(*.f64 x.im x.re) |
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(pow.f64 x.im #s(literal 3 binary64)) |
x.im |
#s(literal 3 binary64) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
x.re |
(*.f64 x.im x.re) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) x.im) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) |
(fma.f64 x.im x.im (*.f64 x.re x.re)) |
x.im |
(*.f64 x.re x.re) |
x.re |
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) |
(pow.f64 x.re #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 x.im #s(literal 4 binary64)) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
| Outputs |
|---|
(+.f64 (*.f64 (+.f64 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 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im) |
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) |
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) |
(+.f64 x.im x.re) |
(+.f64 x.re x.im) |
x.im |
x.re |
(*.f64 (-.f64 x.re x.im) x.im) |
(-.f64 x.re x.im) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(*.f64 x.re x.im) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)) |
(*.f64 (*.f64 x.re x.re) x.im) |
(*.f64 x.re x.re) |
x.re |
x.im |
#s(literal 3 binary64) |
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x.re x.re) #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))) x.im) |
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) |
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) |
(*.f64 (neg.f64 x.im) x.im) |
(neg.f64 x.im) |
x.im |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) |
(*.f64 x.re x.im) |
x.re |
(*.f64 x.im x.re) |
(*.f64 x.re x.im) |
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) x.im #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))) |
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) |
(pow.f64 x.im #s(literal 3 binary64)) |
x.im |
#s(literal 3 binary64) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) |
(*.f64 x.re x.im) |
x.re |
(*.f64 x.im x.re) |
(*.f64 x.re x.im) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x.re x.re) (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.im) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) x.im) |
(*.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.re x.re (*.f64 x.im x.im))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) |
(/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) |
(fma.f64 x.im x.im (*.f64 x.re x.re)) |
(fma.f64 x.re x.re (*.f64 x.im x.im)) |
x.im |
(*.f64 x.re x.re) |
x.re |
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) |
(pow.f64 x.re #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 x.im #s(literal 4 binary64)) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(*.f64 x.re x.im) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.837788195260278 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) x.im) | |
| accuracy | 5.081989966604116 | (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| accuracy | 8.031223165792676 | (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) | |
| accuracy | 46.375560031450554 | (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) | |
| accuracy | 0 | (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) | |
| accuracy | 0.15625 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) | |
| accuracy | 5.081989966604116 | (+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| accuracy | 25.97831681706419 | #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) | |
| accuracy | 0.15625 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) | |
| accuracy | 3.837788195260278 | (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) | |
| accuracy | 5.081989966604116 | (+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| accuracy | 28.10996299853513 | #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) | |
| accuracy | 0 | (*.f64 x.re x.re) | |
| accuracy | 0.19140625 | (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) | |
| accuracy | 7.2104528589303865 | (*.f64 (*.f64 x.re x.re) x.im) | |
| accuracy | 30.570041984496672 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 x.re x.im) x.im) | |
| accuracy | 0.125 | (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) | |
| accuracy | 0.15625 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) | |
| accuracy | 5.081989966604116 | (+.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)) |
| 92.0ms | 256× | 0 | valid |
Compiled 738 to 79 computations (89.3% saved)
ival-sub: 33.0ms (46.4% of total)ival-mult: 19.0ms (26.7% of total)ival-add: 7.0ms (9.8% of total)ival-pow: 7.0ms (9.8% of total)ival-div: 3.0ms (4.2% of total)ival-neg: 2.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.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 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) |
(+.f64 x.im x.re) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(*.f64 (*.f64 x.re x.re) x.im) |
(*.f64 x.re x.re) |
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) |
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) |
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) x.im) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(*.f64 (-.f64 x.re x.im) x.im) |
(/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) |
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) |
| Outputs |
|---|
(* -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)))))) |
(* 2 (* x.im x.re)) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
x.im |
(+ x.im x.re) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(* 3 (* x.im (pow x.re 2))) |
(* x.im (pow x.re 2)) |
(pow x.re 2) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(* -1 (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im)))) |
(* 2 (* x.im (pow x.re 2))) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(/ -1 (pow x.im 2)) |
(- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))) |
(- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) |
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) |
(* -1 (pow x.im 4)) |
(- (pow x.re 4) (pow x.im 4)) |
(* (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 (/ (* 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.re |
(* x.re (+ 1 (/ x.im x.re))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* x.im x.re) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(/ 1 (pow x.re 2)) |
(/ (+ 1 (/ (pow x.im 2) (pow x.re 2))) (pow x.re 2)) |
(/ (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))) (pow x.re 2)) |
(/ (- (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 6) (pow x.re 6)))) (* -1 (/ (pow x.im 4) (pow x.re 4)))) (pow x.re 2)) |
(pow x.re 4) |
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) |
(* (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)))) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -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 (+ (* 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 (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(* x.im (+ x.re (* -1 x.im))) |
(+ (/ 1 (pow x.re 2)) (/ (pow x.im 2) (pow x.re 4))) |
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 4)) (/ (pow x.im 2) (pow x.re 6)))) (/ 1 (pow x.re 2))) |
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 6)) (/ (pow x.im 2) (pow x.re 8)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))) |
(+ (* -1 (pow x.im 4)) (pow x.re 4)) |
(* (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)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(* x.im (+ 1 (/ x.re x.im))) |
(* (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) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(/ (- (* -1 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2)) |
(/ (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 4) (pow x.im 4)))) 1) (pow x.im 2)) |
(/ (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ 1 (/ (pow x.re 4) (pow x.im 4)))) (pow x.im 2)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1)) |
(* -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))) (/ (pow x.re 2) x.im)) x.im))))) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(* -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 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x.im | @ | inf | ((+ (* (+ 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.im x.re) (* (- x.re x.im) 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.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re 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.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* 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) (neg (pow x.im 3)) (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) (+ (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4))) (- (pow x.re 4) (pow x.im 4))) |
| 6.0ms | x.re | @ | 0 | ((+ (* (+ 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.im x.re) (* (- x.re x.im) 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.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re 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.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* 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) (neg (pow x.im 3)) (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) (+ (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4))) (- (pow x.re 4) (pow x.im 4))) |
| 4.0ms | x.im | @ | -inf | ((+ (* (+ 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.im x.re) (* (- x.re x.im) 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.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re 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.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* 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) (neg (pow x.im 3)) (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) (+ (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4))) (- (pow x.re 4) (pow x.im 4))) |
| 4.0ms | x.re | @ | inf | ((+ (* (+ 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.im x.re) (* (- x.re x.im) 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.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re 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.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* 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) (neg (pow x.im 3)) (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) (+ (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4))) (- (pow x.re 4) (pow x.im 4))) |
| 3.0ms | x.im | @ | 0 | ((+ (* (+ 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.im x.re) (* (- x.re x.im) 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.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re 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.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* 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) (neg (pow x.im 3)) (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) (+ (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4))) (- (pow x.re 4) (pow x.im 4))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 250 | 1039 |
| 1 | 792 | 897 |
| 2 | 2533 | 828 |
| 0 | 8221 | 801 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(* 2 (* x.im x.re)) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
x.im |
(+ x.im x.re) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(* 3 (* x.im (pow x.re 2))) |
(* x.im (pow x.re 2)) |
(pow x.re 2) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(* -1 (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im)))) |
(* 2 (* x.im (pow x.re 2))) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(/ -1 (pow x.im 2)) |
(- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))) |
(- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) |
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) |
(* -1 (pow x.im 4)) |
(- (pow x.re 4) (pow x.im 4)) |
(* (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 (/ (* 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.re |
(* x.re (+ 1 (/ x.im x.re))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* x.im x.re) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(/ 1 (pow x.re 2)) |
(/ (+ 1 (/ (pow x.im 2) (pow x.re 2))) (pow x.re 2)) |
(/ (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))) (pow x.re 2)) |
(/ (- (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 6) (pow x.re 6)))) (* -1 (/ (pow x.im 4) (pow x.re 4)))) (pow x.re 2)) |
(pow x.re 4) |
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) |
(* (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)))) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -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 (+ (* 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 (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(* x.im (+ x.re (* -1 x.im))) |
(+ (/ 1 (pow x.re 2)) (/ (pow x.im 2) (pow x.re 4))) |
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 4)) (/ (pow x.im 2) (pow x.re 6)))) (/ 1 (pow x.re 2))) |
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 6)) (/ (pow x.im 2) (pow x.re 8)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))) |
(+ (* -1 (pow x.im 4)) (pow x.re 4)) |
(* (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)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(* x.im (+ 1 (/ x.re x.im))) |
(* (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) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1)) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(/ (- (* -1 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2)) |
(/ (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 4) (pow x.im 4)))) 1) (pow x.im 2)) |
(/ (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ 1 (/ (pow x.re 4) (pow x.im 4)))) (pow x.im 2)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1)) |
(* -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))) (/ (pow x.re 2) x.im)) x.im))))) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(* -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 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
| Outputs |
|---|
(* -1 (pow x.im 3)) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) |
x.im |
(+ x.im x.re) |
(+.f64 x.re x.im) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) |
(* x.im (pow x.re 2)) |
(*.f64 (*.f64 x.re x.re) x.im) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) |
(* -1 (pow x.im 2)) |
(*.f64 (neg.f64 x.im) x.im) |
(- (pow x.re 2) (pow x.im 2)) |
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im)))) |
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) x.im) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(*.f64 (-.f64 x.re x.im) x.im) |
(/ -1 (pow x.im 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)) |
(- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))) |
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im) |
(- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) |
(fma.f64 (fma.f64 (neg.f64 x.re) (/.f64 x.re (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))) |
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x.re) (/.f64 x.re (pow.f64 x.im #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))) |
(* -1 (pow x.im 4)) |
(neg.f64 (pow.f64 x.im #s(literal 4 binary64))) |
(- (pow x.re 4) (pow x.im 4)) |
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) 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 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) |
(*.f64 (*.f64 x.re x.re) x.im) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
x.re |
(* x.re (+ 1 (/ x.im x.re))) |
(fma.f64 (/.f64 x.im x.re) x.re x.re) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re)) |
(* x.im x.re) |
(*.f64 x.re x.im) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) |
(/ 1 (pow x.re 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) |
(/ (+ 1 (/ (pow x.im 2) (pow x.re 2))) (pow x.re 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re) |
(/ (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))) (pow x.re 2)) |
(/.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64))) (*.f64 x.re x.re)) |
(/ (- (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 6) (pow x.re 6)))) (* -1 (/ (pow x.im 4) (pow x.re 4)))) (pow x.re 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64))) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 x.re x.re)) |
(pow x.re 4) |
(pow.f64 x.re #s(literal 4 binary64)) |
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 4 binary64))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.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.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(fma.f64 (/.f64 x.im x.re) x.re x.re) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im) |
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) x.im) |
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im) |
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) |
(* x.im (+ x.re (* -1 x.im))) |
(*.f64 (-.f64 x.re x.im) x.im) |
(+ (/ 1 (pow x.re 2)) (/ (pow x.im 2) (pow x.re 4))) |
(fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) |
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 4)) (/ (pow x.im 2) (pow x.re 6)))) (/ 1 (pow x.re 2))) |
(fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 4 binary64))) (+.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))) |
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 6)) (/ (pow x.im 2) (pow x.re 8)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))) |
(fma.f64 (fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))) |
(+ (* -1 (pow x.im 4)) (pow x.re 4)) |
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* x.im (+ 1 (/ x.re x.im))) |
(fma.f64 (/.f64 x.re x.im) x.im x.im) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im) |
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) (fma.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im) |
(/ (- (* -1 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im) |
(/ (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 4) (pow x.im 4)))) 1) (pow x.im 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) (*.f64 x.im x.im)) |
(/ (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ 1 (/ (pow x.re 4) (pow x.im 4)))) (pow x.im 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 x.im x.im)) |
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 4 binary64))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im))))) |
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(fma.f64 (/.f64 x.re x.im) x.im x.im) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.im) (*.f64 x.re (/.f64 x.re x.im)) #s(literal 1 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 269 |
| 0 | 70 | 241 |
| 1 | 269 | 209 |
| 2 | 1684 | 209 |
| 0 | 8405 | 204 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.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 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) |
(+.f64 x.im x.re) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(*.f64 (*.f64 x.re x.re) x.im) |
(*.f64 x.re x.re) |
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) |
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) |
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) x.im) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(*.f64 (-.f64 x.re x.im) x.im) |
(/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) |
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))))) |
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(*.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))))))) |
(*.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) |
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (fma.f64 (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (*.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 12 binary64)) (pow.f64 x.re #s(literal 12 binary64))) (+.f64 (pow.f64 x.im #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 8 binary64)))) (*.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))) (pow.f64 x.im #s(literal 12 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64)))) (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))) (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))))) (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) |
(fma.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64))) |
(fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))) |
(fma.f64 (*.f64 x.im x.im) (*.f64 (neg.f64 x.im) x.im) (pow.f64 x.re #s(literal 4 binary64))) |
(fma.f64 x.re (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))) |
(-.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))))) |
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) |
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))) |
Compiled 40 858 to 3 808 computations (90.7% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 106 | 15 | 1 121 |
| Fresh | 3 | 1 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 113 | 17 | 1 130 |
| Status | Accuracy | Program |
|---|---|---|
| 86.1% | (+.f64 (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 36.9% | (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 39.6% | (+.f64 (*.f64 (+.f64 x.im x.re) (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) x.im) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| ▶ | 91.9% | (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) |
| ▶ | 88.3% | (+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 67.5% | (+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 89.8% | (+.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 81.3% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) | |
| 89.7% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) | |
| ✓ | 46.3% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
| 52.1% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) | |
| ▶ | 46.3% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))) |
| 46.3% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)) | |
| 52.1% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) | |
| 52.1% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) | |
| ▶ | 52.1% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) |
| ▶ | 59.4% | #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
Compiled 917 to 534 computations (41.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x.im #s(literal 3 binary64)) | |
| cost-diff | 0 | (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) | |
| cost-diff | 0 | (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) | |
| cost-diff | 128 | (+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| cost-diff | 192 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| cost-diff | 1024 | (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) x.im) | |
| cost-diff | 0 | (*.f64 x.re x.re) | |
| cost-diff | 0 | (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)) | |
| cost-diff | 0 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) x.im) | |
| cost-diff | 0 | (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)) | |
| cost-diff | 0 | (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))) | |
| cost-diff | 0 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) | |
| cost-diff | 0 | (*.f64 (-.f64 x.re x.im) x.im) | |
| cost-diff | 0 | (+.f64 x.im x.re) | |
| cost-diff | 0 | (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) | |
| cost-diff | 704 | (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 286 |
| 0 | 72 | 270 |
| 1 | 123 | 270 |
| 2 | 216 | 270 |
| 3 | 495 | 246 |
| 4 | 1219 | 234 |
| 5 | 2148 | 234 |
| 6 | 4706 | 234 |
| 0 | 8112 | 233 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) |
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) |
(+.f64 x.im x.re) |
x.im |
x.re |
(*.f64 (-.f64 x.re x.im) x.im) |
(-.f64 x.re x.im) |
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) |
(*.f64 x.re (+.f64 x.im x.im)) |
(+.f64 x.im x.im) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) |
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))) |
x.re |
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)) |
(*.f64 #s(literal 3 binary64) x.im) |
#s(literal 3 binary64) |
x.im |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))) |
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)) |
(*.f64 x.re x.re) |
x.re |
(*.f64 #s(literal 3 binary64) x.im) |
#s(literal 3 binary64) |
x.im |
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) |
(+.f64 x.im x.re) |
x.im |
x.re |
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)) |
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) |
(fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) |
(neg.f64 x.im) |
(/.f64 x.im x.re) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(pow.f64 x.im #s(literal 3 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 x.re (+.f64 x.im x.im)) x.re)) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im) |
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) |
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) |
(+.f64 x.im x.re) |
(+.f64 x.re x.im) |
x.im |
x.re |
(*.f64 (-.f64 x.re x.im) x.im) |
(-.f64 x.re x.im) |
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re) |
(*.f64 x.re (+.f64 x.im x.im)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(+.f64 x.im x.im) |
(*.f64 #s(literal 2 binary64) x.im) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) |
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) |
x.re |
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)) |
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) |
(*.f64 #s(literal 3 binary64) x.im) |
#s(literal 3 binary64) |
x.im |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) |
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) |
(*.f64 x.re x.re) |
x.re |
(*.f64 #s(literal 3 binary64) x.im) |
#s(literal 3 binary64) |
x.im |
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.re) x.re) x.im (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.re x.im))) |
(*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) |
(*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.re x.im)) |
(+.f64 x.im x.re) |
(+.f64 x.re x.im) |
x.im |
x.re |
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)) |
#s(approx (* (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im)) |
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) |
(*.f64 (-.f64 x.re x.im) x.im) |
(fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) |
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) |
(neg.f64 x.im) |
(/.f64 x.im x.re) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(*.f64 x.re x.im) |
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(pow.f64 x.im #s(literal 3 binary64)) |
x.im |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 x.im #s(literal 3 binary64)) | |
| accuracy | 0 | (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) | |
| accuracy | 25.985341051002713 | #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) | |
| accuracy | 0.125 | (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) | |
| accuracy | 0.15625 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) | |
| accuracy | 4.308825118293976 | (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) | |
| accuracy | 5.081989966604116 | (+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| accuracy | 0 | (*.f64 x.re x.re) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) x.im) | |
| accuracy | 7.264125801765065 | (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)) | |
| accuracy | 30.570041984496672 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) x.im) | |
| accuracy | 0.109375 | (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))) | |
| accuracy | 0.14453125 | (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)) | |
| accuracy | 30.570041984496672 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 x.re x.im) x.im) | |
| accuracy | 0.125 | (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) | |
| accuracy | 0.15625 | (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) | |
| accuracy | 5.081989966604116 | (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) |
| 72.0ms | 256× | 0 | valid |
Compiled 525 to 80 computations (84.8% saved)
ival-mult: 31.0ms (56.7% of total)ival-add: 13.0ms (23.8% of total)ival-sub: 3.0ms (5.5% of total)ival-pow: 3.0ms (5.5% of total)ival-div: 2.0ms (3.7% of total)ival-neg: 2.0ms (3.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) |
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) |
(+.f64 x.im x.re) |
(*.f64 (-.f64 x.re x.im) x.im) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) |
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))) |
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)) |
(*.f64 #s(literal 3 binary64) x.im) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))) |
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)) |
(*.f64 x.re x.re) |
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) |
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(pow.f64 x.im #s(literal 3 binary64)) |
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| Outputs |
|---|
(* -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.re) (* x.im (+ x.im (* -1 x.im)))))) |
x.im |
(+ x.im x.re) |
(* -1 (pow x.im 2)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im x.re)) |
(pow x.re 2) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im (pow x.re 2))) |
(* (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))))) |
(* 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)))) |
x.re |
(* x.re (+ 1 (/ x.im x.re))) |
(* x.im x.re) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -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)))) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -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 (+ (* 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.re (* -1 x.im))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* 3 x.im) |
(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)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(* x.im (+ 1 (/ x.re x.im))) |
(* (pow x.im 2) (- (/ x.re x.im) 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 (+ (* -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))) (/ (pow x.re 2) x.im)) x.im))))) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | x.re | @ | -inf | ((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re 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 (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 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) (* 3 x.im)) (* x.re x.re) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (* (* x.re (+ x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 3.0ms | x.im | @ | -inf | ((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re 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 (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 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) (* 3 x.im)) (* x.re x.re) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (* (* x.re (+ x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 3.0ms | x.im | @ | inf | ((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re 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 (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 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) (* 3 x.im)) (* x.re x.re) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (* (* x.re (+ x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 3.0ms | x.im | @ | 0 | ((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re 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 (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 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) (* 3 x.im)) (* x.re x.re) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (* (* x.re (+ x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 2.0ms | x.re | @ | inf | ((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re 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 (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 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) (* 3 x.im)) (* x.re x.re) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (* (* x.re (+ x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 478 |
| 1 | 533 | 363 |
| 2 | 1753 | 336 |
| 3 | 6451 | 336 |
| 0 | 8307 | 336 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
x.im |
(+ x.im x.re) |
(* -1 (pow x.im 2)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im x.re)) |
(pow x.re 2) |
(* 2 (* x.im x.re)) |
(* 2 (* x.im (pow x.re 2))) |
(* (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))))) |
(* 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)))) |
x.re |
(* x.re (+ 1 (/ x.im x.re))) |
(* x.im x.re) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -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)))) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -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 (+ (* 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.re (* -1 x.im))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* 3 x.im) |
(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)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(* x.im (+ 1 (/ x.re x.im))) |
(* (pow x.im 2) (- (/ x.re x.im) 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 (+ (* -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))) (/ (pow x.re 2) x.im)) x.im))))) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
| Outputs |
|---|
(* -1 (pow x.im 3)) |
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) |
x.im |
(+ x.im x.re) |
(+.f64 x.re x.im) |
(* -1 (pow x.im 2)) |
(*.f64 (neg.f64 x.im) x.im) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(*.f64 (-.f64 x.re x.im) x.im) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) |
(* 3 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) x.im) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
(* x.im (pow x.re 2)) |
(*.f64 (*.f64 x.re x.re) x.im) |
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) |
(*.f64 (*.f64 x.re x.re) x.im) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
x.re |
(* x.re (+ 1 (/ x.im x.re))) |
(+.f64 x.re x.im) |
(* x.im x.re) |
(*.f64 x.re x.im) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(*.f64 (-.f64 x.re x.im) x.im) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.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.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(+.f64 x.re x.im) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(*.f64 (-.f64 x.re x.im) x.im) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) |
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im) |
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) x.im) |
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) |
(* x.im (+ x.re (* -1 x.im))) |
(*.f64 (-.f64 x.re x.im) x.im) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im) |
(* 3 x.im) |
(*.f64 #s(literal 3 binary64) x.im) |
(pow x.im 3) |
(pow.f64 x.im #s(literal 3 binary64)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) 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 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) |
(* x.im (+ 1 (/ x.re x.im))) |
(+.f64 x.re x.im) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(*.f64 (-.f64 x.re x.im) x.im) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) 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 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(+.f64 x.re x.im) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 224 |
| 0 | 72 | 214 |
| 1 | 247 | 182 |
| 0 | 1375 | 177 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) |
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) |
(+.f64 x.im x.re) |
(*.f64 (-.f64 x.re x.im) x.im) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) |
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))) |
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)) |
(*.f64 #s(literal 3 binary64) x.im) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))) |
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)) |
(*.f64 x.re x.re) |
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) |
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(pow.f64 x.im #s(literal 3 binary64)) |
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))) |
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(fma.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) |
(fma.f64 (*.f64 x.re #s(literal 2 binary64)) x.im (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) |
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(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) |
(fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im (*.f64 #s(literal 2 binary64) x.im)) |
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(fma.f64 x.im #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) |
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(fma.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.re)) |
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(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) |
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(+.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) x.re) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) x.im)) |
(+.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) x.im) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) x.re)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (neg.f64 x.im) x.im) x.im) |
(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) |
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x.im) (*.f64 x.im x.im)) |
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) |
(*.f64 x.im (*.f64 (neg.f64 x.im) x.im)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64)))))) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64))) |
(*.f64 (*.f64 x.im x.im) x.im) |
(*.f64 x.im (*.f64 x.im x.im)) |
(pow.f64 (exp.f64 (log.f64 x.im)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x.im #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x.im x.im) #s(literal 3/2 binary64)) |
(pow.f64 x.im #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 3 binary64))) |
(*.f64 (*.f64 x.re #s(literal 2 binary64)) x.im) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) |
(*.f64 #s(literal 2 binary64) x.im) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 x.re x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) x.im)) |
(*.f64 x.im (+.f64 x.re x.re)) |
(*.f64 x.im #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) |
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.im x.im #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x.im)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.im x.im #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x.re x.im) x.re (*.f64 (*.f64 x.re x.im) x.re)) |
(fma.f64 x.re (*.f64 x.re x.im) (*.f64 x.re (*.f64 x.re x.im))) |
(fma.f64 x.re x.im (*.f64 x.re x.im)) |
(fma.f64 x.im x.re (*.f64 x.re x.im)) |
(-.f64 (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)) (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (*.f64 x.re x.im) x.re) (*.f64 (*.f64 x.re x.im) x.re)) |
(+.f64 (*.f64 x.re (*.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re x.im))) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) |
(+.f64 x.im x.im) |
(*.f64 (*.f64 x.re #s(literal 2 binary64)) x.im) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) |
(*.f64 #s(literal 2 binary64) x.im) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 x.re x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) x.im)) |
(*.f64 x.im (+.f64 x.re x.re)) |
(*.f64 x.im #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) |
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.im x.im #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x.im)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.im x.im #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x.re x.im) x.re (*.f64 (*.f64 x.re x.im) x.re)) |
(fma.f64 x.re (*.f64 x.re x.im) (*.f64 x.re (*.f64 x.re x.im))) |
(fma.f64 x.re x.im (*.f64 x.re x.im)) |
(fma.f64 x.im x.re (*.f64 x.re x.im)) |
(-.f64 (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)) (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (*.f64 x.re x.im) x.re) (*.f64 (*.f64 x.re x.im) x.re)) |
(+.f64 (*.f64 x.re (*.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re x.im))) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) |
(+.f64 x.im x.im) |
Compiled 7 614 to 763 computations (90% saved)
19 alts after pruning (15 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 246 | 8 | 254 |
| Fresh | 4 | 7 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 0 | 1 |
| Total | 252 | 19 | 271 |
| Status | Accuracy | Program |
|---|---|---|
| 64.1% | (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) | |
| ▶ | 60.5% | (fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im)) |
| ▶ | 89.7% | (fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) |
| 73.3% | (fma.f64 x.im (+.f64 x.re x.re) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im))) | |
| 78.8% | (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) | |
| 77.7% | (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))) (-.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| ▶ | 86.1% | (+.f64 (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 36.9% | (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| ✓ | 91.9% | (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) |
| 67.5% | (+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 81.3% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) | |
| 89.7% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) | |
| ▶ | 46.3% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)) |
| 52.1% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) | |
| ✓ | 46.3% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))) |
| 52.1% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) | |
| ✓ | 52.1% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) |
| ▶ | 59.3% | #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
| ✓ | 59.4% | #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
Compiled 891 to 515 computations (42.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x.im) | |
| cost-diff | 192 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| cost-diff | 704 | (+.f64 (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| cost-diff | 1600 | (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) | |
| cost-diff | 0 | #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) | |
| cost-diff | 0 | (+.f64 x.re x.im) | |
| cost-diff | 0 | (fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im)) | |
| cost-diff | 1024 | (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re) | |
| cost-diff | 0 | (*.f64 x.re x.re) | |
| cost-diff | 0 | (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) | |
| cost-diff | 0 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)) | |
| cost-diff | -5824 | (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im) | |
| cost-diff | 0 | (neg.f64 x.im) | |
| cost-diff | 0 | (*.f64 (neg.f64 x.im) x.im) | |
| cost-diff | 0 | #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) | |
| cost-diff | 0 | (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x.im) | |
| cost-diff | 0 | (*.f64 x.re x.re) | |
| cost-diff | 576 | (fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 279 |
| 0 | 73 | 270 |
| 1 | 139 | 260 |
| 2 | 303 | 252 |
| 3 | 967 | 236 |
| 4 | 3333 | 224 |
| 5 | 7584 | 224 |
| 0 | 8572 | 224 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) |
(*.f64 x.re x.re) |
x.re |
(*.f64 #s(literal 2 binary64) x.im) |
#s(literal 2 binary64) |
x.im |
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) |
(*.f64 (+.f64 x.re x.im) x.im) |
(+.f64 x.re x.im) |
(-.f64 x.re x.im) |
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(*.f64 (*.f64 (neg.f64 x.im) x.im) x.im) |
(*.f64 (neg.f64 x.im) x.im) |
(neg.f64 x.im) |
x.im |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)) |
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) |
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) |
(*.f64 x.re x.re) |
x.re |
#s(literal 3 binary64) |
x.im |
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im)) |
(+.f64 x.re x.im) |
x.re |
x.im |
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) |
(*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re) |
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) |
(/.f64 x.im x.re) |
(neg.f64 x.im) |
(*.f64 #s(literal 2 binary64) x.im) |
#s(literal 2 binary64) |
(+.f64 (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) |
(neg.f64 x.im) |
x.im |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) |
#s(literal -1 binary64) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(-.f64 x.re x.im) |
x.re |
(+.f64 x.re x.im) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
| Outputs |
|---|
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) x.im) |
(*.f64 x.re x.re) |
x.re |
(*.f64 #s(literal 2 binary64) x.im) |
(*.f64 x.im #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x.im |
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) |
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.im) |
(*.f64 (+.f64 x.re x.im) x.im) |
(*.f64 (+.f64 x.im x.re) x.im) |
(+.f64 x.re x.im) |
(+.f64 x.im x.re) |
(-.f64 x.re x.im) |
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) |
(*.f64 (*.f64 (neg.f64 x.im) x.im) x.im) |
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) |
(*.f64 (neg.f64 x.im) x.im) |
(neg.f64 x.im) |
x.im |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) |
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) |
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) |
(*.f64 x.re x.re) |
x.re |
#s(literal 3 binary64) |
x.im |
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im)) |
(fma.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.re) (*.f64 x.im #s(literal 2 binary64))) |
(+.f64 x.re x.im) |
(+.f64 x.im x.re) |
x.re |
x.im |
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) |
#s(approx (* (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im)) |
(*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re) |
(*.f64 (-.f64 x.re x.im) x.im) |
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.im) |
(/.f64 x.im x.re) |
(neg.f64 x.im) |
(*.f64 #s(literal 2 binary64) x.im) |
(*.f64 x.im #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) x.im) |
(/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) |
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.im) |
(neg.f64 x.im) |
x.im |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)) (-.f64 x.re x.im)) |
#s(literal -1 binary64) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) |
(-.f64 x.re x.im) |
x.re |
(+.f64 x.re x.im) |
(+.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) #s(literal 2 binary64)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(*.f64 x.im x.re) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15625 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) | |
| accuracy | 0.47495202890783006 | (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) | |
| accuracy | 3.7999233171924063 | (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) | |
| accuracy | 5.081989966604116 | (+.f64 (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| accuracy | 0 | #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) | |
| accuracy | 0.0703125 | (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) | |
| accuracy | 0.1171875 | (fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im)) | |
| accuracy | 4.308825118293976 | (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re) | |
| accuracy | 0 | (*.f64 x.re x.re) | |
| accuracy | 0.1640625 | (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) | |
| accuracy | 7.193982810500942 | (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) | |
| accuracy | 30.570041984496672 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)) | |
| accuracy | 0 | (*.f64 (neg.f64 x.im) x.im) | |
| accuracy | 0 | (neg.f64 x.im) | |
| accuracy | 0.1171875 | (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im) | |
| accuracy | 25.985341051002713 | #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) x.im) | |
| accuracy | 0.01171875 | (*.f64 (+.f64 x.re x.im) x.im) | |
| accuracy | 0.125 | (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) | |
| accuracy | 6.536206454050611 | (fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) |
| 82.0ms | 256× | 0 | valid |
Compiled 529 to 88 computations (83.4% saved)
ival-mult: 46.0ms (72.2% of total)ival-add: 9.0ms (14.1% of total)ival-div: 5.0ms (7.8% of total)ival-sub: 2.0ms (3.1% of total)ival-neg: 1.0ms (1.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) |
(*.f64 x.re x.re) |
(*.f64 #s(literal 2 binary64) x.im) |
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) |
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(*.f64 (neg.f64 x.im) x.im) |
(neg.f64 x.im) |
(*.f64 (*.f64 (neg.f64 x.im) x.im) x.im) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)) |
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) |
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re) |
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im)) |
(+.f64 x.re x.im) |
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) |
(/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) |
(+.f64 (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 (+.f64 x.re x.im) x.im) |
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| Outputs |
|---|
(* -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)))))) |
(pow x.re 2) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (pow x.re 2)) |
(* -1 (pow x.im 2)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(+ (* -1 (pow x.im 3)) (* 2 x.im)) |
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im)))))) |
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))) |
x.im |
(+ x.im x.re) |
(* 2 (* x.im x.re)) |
(pow x.im 2) |
(+ (* x.im x.re) (pow x.im 2)) |
(* -1 (/ (pow x.im 2) x.re)) |
(/ (+ (* -1 (pow x.im 2)) (* x.im x.re)) x.re) |
(/ 1 (pow x.im 2)) |
(+ (/ 1 (pow x.im 2)) (/ (* x.re (+ x.im (* -1 x.im))) (pow x.im 4))) |
(+ (* x.re (- (* x.re (- (/ 1 (pow x.im 4)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.im 6))))) (* -1 (/ (+ x.im (* -1 x.im)) (pow x.im 4))))) (/ 1 (pow x.im 2))) |
(+ (* x.re (- (* x.re (- (+ (* -1 (* x.re (+ (* -1 (/ (* (+ x.im (* -1 x.im)) (- (/ 1 (pow x.im 4)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.im 6))))) (pow x.im 2))) (* -1 (/ (+ x.im (* -1 x.im)) (pow x.im 6)))))) (/ 1 (pow x.im 4))) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.im 6))))) (* -1 (/ (+ x.im (* -1 x.im)) (pow x.im 4))))) (/ 1 (pow x.im 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* (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))))) |
(* 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))) (* 2 x.im)))) |
(* x.im x.re) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
x.re |
(* x.re (+ 1 (/ x.im x.re))) |
(* x.re (+ x.im (/ (pow x.im 2) x.re))) |
(+ x.im (* -1 (/ (pow x.im 2) x.re))) |
(/ -1 (pow x.re 2)) |
(/ (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1) (pow x.re 2)) |
(/ (- (* -1 (/ (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)) (pow x.re 2))) (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re)))) (pow x.re 2)) |
(/ (- (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)))) (* -1 (* (pow x.im 2) (+ x.im (* -1 x.im))))) (pow x.re 3))) (+ 1 (+ (* -1 (/ (+ x.im (* -1 x.im)) x.re)) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2)))))) (pow x.re 2)) |
(* (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)))) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re)))) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re))))) |
(/ (- (* -1 (/ (- (+ (/ (pow x.im 2) x.re) (/ (pow (+ x.im (* -1 x.im)) 2) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.im (* -1 x.im)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re) (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 2)) |
(* 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)))) |
(* 2 x.im) |
(* 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))) |
(* -1 x.im) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ x.re (* -1 x.im))) |
(* x.im (+ 2 (pow x.re 2))) |
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) |
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* x.im (+ x.im x.re)) |
(* x.im (+ 1 (* -1 (/ x.im x.re)))) |
(- (/ (* x.im (+ x.re (* -1 x.re))) (pow x.re 4)) (/ 1 (pow x.re 2))) |
(- (* x.im (- (* -1 (* x.im (+ (/ 1 (pow x.re 4)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.re 6))))) (* -1 (/ (+ x.re (* -1 x.re)) (pow x.re 4))))) (/ 1 (pow x.re 2))) |
(- (* x.im (- (* x.im (- (* -1 (* x.im (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (+ (/ 1 (pow x.re 4)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.re 6)))) (pow x.re 2))) (* -1 (/ (+ x.re (* -1 x.re)) (pow x.re 6)))))) (+ (/ 1 (pow x.re 4)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.re 6))))) (* -1 (/ (+ x.re (* -1 x.re)) (pow x.re 4))))) (/ 1 (pow x.re 2))) |
(* (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)) (+ (/ x.re x.im) (/ (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 2) (- (/ x.re x.im) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* x.im (+ 1 (/ x.re x.im))) |
(* (pow x.im 2) (+ 1 (/ x.re x.im))) |
(* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re))) |
(/ (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))) (pow x.im 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2))) (pow x.im 2)))) (* -1 (/ (+ x.re (* -1 x.re)) x.im))) (pow x.im 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (pow x.re 2) (+ x.re (* -1 x.re)))) (* (+ x.re (* -1 x.re)) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2))))) (pow x.im 3)))) (+ (* -1 (/ (+ x.re (* -1 x.re)) x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 2)))))) (pow x.im 2)) |
(* -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))) (/ (pow x.re 2) x.im)) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im))))) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(/ (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im))) (pow x.im 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x.re 2) x.im)) (* -1 (/ (pow (+ x.re (* -1 x.re)) 2) x.im))) (* -1 (+ x.re (* -1 x.re)))) x.im))) (pow x.im 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) x.im)) (/ (* (+ x.re (* -1 x.re)) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (* -1 (+ x.re (* -1 x.re)))) x.im))) (pow x.im 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x.re | @ | inf | ((+ (* (* x.re x.re) (* 2 x.im)) (* (* (+ x.re x.im) x.im) (- x.re x.im))) (* x.re x.re) (* 2 x.im) (* (* (+ x.re x.im) x.im) (- x.re x.im)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) 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) 3) x.im) (* (* x.re x.re) 3) (* (+ (* (/ x.im x.re) (neg x.im)) x.im) x.re) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (+ x.re x.im) (* (- x.re x.im) x.im) (/ (neg x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im)))) (+ (/ (neg x.im) (/ -1 (* (- x.re 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.im x.re) (neg x.im)) x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 4.0ms | x.im | @ | inf | ((+ (* (* x.re x.re) (* 2 x.im)) (* (* (+ x.re x.im) x.im) (- x.re x.im))) (* x.re x.re) (* 2 x.im) (* (* (+ x.re x.im) x.im) (- x.re x.im)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) 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) 3) x.im) (* (* x.re x.re) 3) (* (+ (* (/ x.im x.re) (neg x.im)) x.im) x.re) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (+ x.re x.im) (* (- x.re x.im) x.im) (/ (neg x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im)))) (+ (/ (neg x.im) (/ -1 (* (- x.re 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.im x.re) (neg x.im)) x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 4.0ms | x.im | @ | -inf | ((+ (* (* x.re x.re) (* 2 x.im)) (* (* (+ x.re x.im) x.im) (- x.re x.im))) (* x.re x.re) (* 2 x.im) (* (* (+ x.re x.im) x.im) (- x.re x.im)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) 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) 3) x.im) (* (* x.re x.re) 3) (* (+ (* (/ x.im x.re) (neg x.im)) x.im) x.re) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (+ x.re x.im) (* (- x.re x.im) x.im) (/ (neg x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im)))) (+ (/ (neg x.im) (/ -1 (* (- x.re 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.im x.re) (neg x.im)) x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 3.0ms | x.im | @ | 0 | ((+ (* (* x.re x.re) (* 2 x.im)) (* (* (+ x.re x.im) x.im) (- x.re x.im))) (* x.re x.re) (* 2 x.im) (* (* (+ x.re x.im) x.im) (- x.re x.im)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) 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) 3) x.im) (* (* x.re x.re) 3) (* (+ (* (/ x.im x.re) (neg x.im)) x.im) x.re) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (+ x.re x.im) (* (- x.re x.im) x.im) (/ (neg x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im)))) (+ (/ (neg x.im) (/ -1 (* (- x.re 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.im x.re) (neg x.im)) x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 3.0ms | x.re | @ | -inf | ((+ (* (* x.re x.re) (* 2 x.im)) (* (* (+ x.re x.im) x.im) (- x.re x.im))) (* x.re x.re) (* 2 x.im) (* (* (+ x.re x.im) x.im) (- x.re x.im)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) 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) 3) x.im) (* (* x.re x.re) 3) (* (+ (* (/ x.im x.re) (neg x.im)) x.im) x.re) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (+ x.re x.im) (* (- x.re x.im) x.im) (/ (neg x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im)))) (+ (/ (neg x.im) (/ -1 (* (- x.re 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.im x.re) (neg x.im)) x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 357 | 1206 |
| 1 | 1201 | 880 |
| 2 | 4862 | 791 |
| 0 | 8190 | 762 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(pow x.re 2) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (pow x.re 2)) |
(* -1 (pow x.im 2)) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(+ (* -1 (pow x.im 3)) (* 2 x.im)) |
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im)))))) |
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))) |
x.im |
(+ x.im x.re) |
(* 2 (* x.im x.re)) |
(pow x.im 2) |
(+ (* x.im x.re) (pow x.im 2)) |
(* -1 (/ (pow x.im 2) x.re)) |
(/ (+ (* -1 (pow x.im 2)) (* x.im x.re)) x.re) |
(/ 1 (pow x.im 2)) |
(+ (/ 1 (pow x.im 2)) (/ (* x.re (+ x.im (* -1 x.im))) (pow x.im 4))) |
(+ (* x.re (- (* x.re (- (/ 1 (pow x.im 4)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.im 6))))) (* -1 (/ (+ x.im (* -1 x.im)) (pow x.im 4))))) (/ 1 (pow x.im 2))) |
(+ (* x.re (- (* x.re (- (+ (* -1 (* x.re (+ (* -1 (/ (* (+ x.im (* -1 x.im)) (- (/ 1 (pow x.im 4)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.im 6))))) (pow x.im 2))) (* -1 (/ (+ x.im (* -1 x.im)) (pow x.im 6)))))) (/ 1 (pow x.im 4))) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.im 6))))) (* -1 (/ (+ x.im (* -1 x.im)) (pow x.im 4))))) (/ 1 (pow x.im 2))) |
(* 2 (* x.im (pow x.re 2))) |
(* (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))))) |
(* 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))) (* 2 x.im)))) |
(* x.im x.re) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
x.re |
(* x.re (+ 1 (/ x.im x.re))) |
(* x.re (+ x.im (/ (pow x.im 2) x.re))) |
(+ x.im (* -1 (/ (pow x.im 2) x.re))) |
(/ -1 (pow x.re 2)) |
(/ (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1) (pow x.re 2)) |
(/ (- (* -1 (/ (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)) (pow x.re 2))) (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re)))) (pow x.re 2)) |
(/ (- (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)))) (* -1 (* (pow x.im 2) (+ x.im (* -1 x.im))))) (pow x.re 3))) (+ 1 (+ (* -1 (/ (+ x.im (* -1 x.im)) x.re)) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2)))))) (pow x.re 2)) |
(* (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)))) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re)))) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re))))) |
(/ (- (* -1 (/ (- (+ (/ (pow x.im 2) x.re) (/ (pow (+ x.im (* -1 x.im)) 2) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.im (* -1 x.im)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re) (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 2)) |
(* 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)))) |
(* 2 x.im) |
(* 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))) |
(* -1 x.im) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ x.re (* -1 x.im))) |
(* x.im (+ 2 (pow x.re 2))) |
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) |
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(* x.im (+ x.im x.re)) |
(* x.im (+ 1 (* -1 (/ x.im x.re)))) |
(- (/ (* x.im (+ x.re (* -1 x.re))) (pow x.re 4)) (/ 1 (pow x.re 2))) |
(- (* x.im (- (* -1 (* x.im (+ (/ 1 (pow x.re 4)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.re 6))))) (* -1 (/ (+ x.re (* -1 x.re)) (pow x.re 4))))) (/ 1 (pow x.re 2))) |
(- (* x.im (- (* x.im (- (* -1 (* x.im (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (+ (/ 1 (pow x.re 4)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.re 6)))) (pow x.re 2))) (* -1 (/ (+ x.re (* -1 x.re)) (pow x.re 6)))))) (+ (/ 1 (pow x.re 4)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.re 6))))) (* -1 (/ (+ x.re (* -1 x.re)) (pow x.re 4))))) (/ 1 (pow x.re 2))) |
(* (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)) (+ (/ x.re x.im) (/ (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 2) (- (/ x.re x.im) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* x.im (+ 1 (/ x.re x.im))) |
(* (pow x.im 2) (+ 1 (/ x.re x.im))) |
(* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re))) |
(/ (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))) (pow x.im 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2))) (pow x.im 2)))) (* -1 (/ (+ x.re (* -1 x.re)) x.im))) (pow x.im 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (pow x.re 2) (+ x.re (* -1 x.re)))) (* (+ x.re (* -1 x.re)) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2))))) (pow x.im 3)))) (+ (* -1 (/ (+ x.re (* -1 x.re)) x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 2)))))) (pow x.im 2)) |
(* -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))) (/ (pow x.re 2) x.im)) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im))))) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(/ (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im))) (pow x.im 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x.re 2) x.im)) (* -1 (/ (pow (+ x.re (* -1 x.re)) 2) x.im))) (* -1 (+ x.re (* -1 x.re)))) x.im))) (pow x.im 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) x.im)) (/ (* (+ x.re (* -1 x.re)) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (* -1 (+ x.re (* -1 x.re)))) x.im))) (pow x.im 2)) |
| Outputs |
|---|
(* -1 (pow x.im 3)) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) |
(* 3 (pow x.re 2)) |
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) |
(* -1 (pow x.im 2)) |
(*.f64 (neg.f64 x.im) x.im) |
(+ (* -1 (pow x.im 2)) (* x.im x.re)) |
(*.f64 (-.f64 x.re x.im) x.im) |
(+ (* -1 (pow x.im 3)) (* 2 x.im)) |
(*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im)))))) |
(*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im) |
x.im |
(+ x.im x.re) |
(+.f64 x.im x.re) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(+ (* x.im x.re) (pow x.im 2)) |
(*.f64 (+.f64 x.im x.re) x.im) |
(* -1 (/ (pow x.im 2) x.re)) |
(/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) |
(/ (+ (* -1 (pow x.im 2)) (* x.im x.re)) x.re) |
(/.f64 (*.f64 (-.f64 x.re x.im) x.im) x.re) |
(/ 1 (pow x.im 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) |
(+ (/ 1 (pow x.im 2)) (/ (* x.re (+ x.im (* -1 x.im))) (pow x.im 4))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) #s(literal 0 binary64)) |
(+ (* x.re (- (* x.re (- (/ 1 (pow x.im 4)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.im 6))))) (* -1 (/ (+ x.im (* -1 x.im)) (pow x.im 4))))) (/ 1 (pow x.im 2))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 4 binary64))) x.re #s(literal 0 binary64)) x.re (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))) |
(+ (* x.re (- (* x.re (- (+ (* -1 (* x.re (+ (* -1 (/ (* (+ x.im (* -1 x.im)) (- (/ 1 (pow x.im 4)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.im 6))))) (pow x.im 2))) (* -1 (/ (+ x.im (* -1 x.im)) (pow x.im 6)))))) (/ 1 (pow x.im 4))) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.im 6))))) (* -1 (/ (+ x.im (* -1 x.im)) (pow x.im 4))))) (/ 1 (pow x.im 2))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 4 binary64))) x.re #s(literal 0 binary64)) x.re (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) 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 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
(* x.im (pow x.re 2)) |
(*.f64 (*.f64 x.re x.re) x.im) |
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) |
(*.f64 (*.f64 x.re x.re) x.im) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.im) x.re) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x.re) (/.f64 x.im x.re) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
x.re |
(* x.re (+ 1 (/ x.im x.re))) |
(fma.f64 (/.f64 x.im x.re) x.re x.re) |
(* x.re (+ x.im (/ (pow x.im 2) x.re))) |
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re) |
(+ x.im (* -1 (/ (pow x.im 2) x.re))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.im) |
(/ -1 (pow x.re 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x.re x.re)) |
(/ (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1) (pow x.re 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x.re x.re)) |
(/ (- (* -1 (/ (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)) (pow x.re 2))) (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re)))) (pow x.re 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) (neg.f64 x.re)) |
(/ (- (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)))) (* -1 (* (pow x.im 2) (+ x.im (* -1 x.im))))) (pow x.re 3))) (+ 1 (+ (* -1 (/ (+ x.im (* -1 x.im)) x.re)) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2)))))) (pow x.re 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) (neg.f64 x.re)) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) |
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.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.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.im) x.re) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re)))) |
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) x.re) x.re) x.im) (*.f64 x.re x.re)) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(fma.f64 (/.f64 x.im x.re) x.re x.re) |
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re))))) |
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re) |
(/ (- (* -1 (/ (- (+ (/ (pow x.im 2) x.re) (/ (pow (+ x.im (* -1 x.im)) 2) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) (neg.f64 x.re)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.im (* -1 x.im)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re) (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) (neg.f64 x.re)) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im) |
(* 2 x.im) |
(*.f64 #s(literal 2 binary64) x.im) |
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))) |
(*.f64 (*.f64 x.re x.re) x.im) |
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) |
(* -1 x.im) |
(neg.f64 x.im) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im) |
(* x.im (+ x.re (* -1 x.im))) |
(*.f64 (-.f64 x.re x.im) x.im) |
(* x.im (+ 2 (pow x.re 2))) |
(*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im) |
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) |
(*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im) |
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im) |
(* x.im (+ x.im x.re)) |
(*.f64 (+.f64 x.im x.re) x.im) |
(* x.im (+ 1 (* -1 (/ x.im x.re)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.im) |
(- (/ (* x.im (+ x.re (* -1 x.re))) (pow x.re 4)) (/ 1 (pow x.re 2))) |
(/.f64 #s(literal -1 binary64) (*.f64 x.re x.re)) |
(- (* x.im (- (* -1 (* x.im (+ (/ 1 (pow x.re 4)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.re 6))))) (* -1 (/ (+ x.re (* -1 x.re)) (pow x.re 4))))) (/ 1 (pow x.re 2))) |
(fma.f64 (/.f64 (neg.f64 x.im) (pow.f64 x.re #s(literal 4 binary64))) x.im (/.f64 #s(literal -1 binary64) (*.f64 x.re x.re))) |
(- (* x.im (- (* x.im (- (* -1 (* x.im (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (+ (/ 1 (pow x.re 4)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.re 6)))) (pow x.re 2))) (* -1 (/ (+ x.re (* -1 x.re)) (pow x.re 6)))))) (+ (/ 1 (pow x.re 4)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.re 6))))) (* -1 (/ (+ x.re (* -1 x.re)) (pow x.re 4))))) (/ 1 (pow x.re 2))) |
(fma.f64 (/.f64 (neg.f64 x.im) (pow.f64 x.re #s(literal 4 binary64))) x.im (/.f64 #s(literal -1 binary64) (*.f64 x.re x.re))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(*.f64 (fma.f64 (*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 (fma.f64 (*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 2) (- (/ x.re x.im) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64))) (pow.f64 x.im #s(literal 3 binary64))) |
(* x.im (+ 1 (/ x.re x.im))) |
(fma.f64 (/.f64 x.re x.im) x.im x.im) |
(* (pow x.im 2) (+ 1 (/ x.re x.im))) |
(*.f64 (fma.f64 (/.f64 x.re x.im) x.im x.im) x.im) |
(* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)) (*.f64 x.im x.im)) |
(/ (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))) (pow x.im 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2))) (pow x.im 2)))) (* -1 (/ (+ x.re (* -1 x.re)) x.im))) (pow x.im 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (pow x.re 2) (+ x.re (* -1 x.re)))) (* (+ x.re (* -1 x.re)) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2))))) (pow x.im 3)))) (+ (* -1 (/ (+ x.re (* -1 x.re)) x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 2)))))) (pow x.im 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im))))) |
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) #s(literal 1 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im) x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(fma.f64 (/.f64 x.re x.im) x.im x.im) |
(/ (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im))) (pow x.im 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x.re 2) x.im)) (* -1 (/ (pow (+ x.re (* -1 x.re)) 2) x.im))) (* -1 (+ x.re (* -1 x.re)))) x.im))) (pow x.im 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) x.im)) (/ (* (+ x.re (* -1 x.re)) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (* -1 (+ x.re (* -1 x.re)))) x.im))) (pow x.im 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 228 |
| 0 | 73 | 228 |
| 1 | 287 | 200 |
| 2 | 2093 | 200 |
| 0 | 9084 | 197 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) |
(*.f64 x.re x.re) |
(*.f64 #s(literal 2 binary64) x.im) |
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) |
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(*.f64 (neg.f64 x.im) x.im) |
(neg.f64 x.im) |
(*.f64 (*.f64 (neg.f64 x.im) x.im) x.im) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)) |
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) |
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re) |
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im)) |
(+.f64 x.re x.im) |
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) |
(/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) |
(+.f64 (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 (+.f64 x.re x.im) x.im) |
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 x.im (fma.f64 #s(literal 2 binary64) (*.f64 x.re x.re) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) x.im) (/.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 2 binary64))) (pow.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) (-.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
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(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (+.f64 x.im x.re)) (/.f64 (fma.f64 (+.f64 x.im x.re) x.im (*.f64 x.re x.re)) (/.f64 (-.f64 x.re x.im) (-.f64 x.re x.im)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (-.f64 x.re x.im)) (/.f64 (+.f64 x.im x.re) (/.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (+.f64 x.im x.re)) (/.f64 (+.f64 x.im x.re) (/.f64 (-.f64 x.re x.im) (-.f64 x.re x.im)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (+.f64 x.im x.re)) #s(literal -1 binary64)) (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (-.f64 x.im x.re)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (-.f64 x.re x.im)) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.im x.im (*.f64 x.re x.re))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)) (/.f64 (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64)) (/.f64 (-.f64 x.re x.im) (-.f64 x.re x.im)))) |
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im))) |
(*.f64 (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 x.im x.re)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (/.f64 (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64)) (/.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 x.im x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (neg.f64 (-.f64 x.re x.im))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (neg.f64 (neg.f64 (+.f64 x.im x.re)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)) (-.f64 x.re x.im)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im))) (neg.f64 (+.f64 x.im x.re))) |
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (+.f64 x.im x.re)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.im x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x.im x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) |
(neg.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) |
(*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) x.re)) #s(literal 0 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re)) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 x.re #s(literal 0 binary64))) #s(literal 0 binary64)) |
(/.f64 (neg.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) |
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x.im x.re) x.re (*.f64 (*.f64 x.im x.re) x.re)) |
(fma.f64 x.re (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.im x.re))) |
(+.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 x.im x.re) x.re)) |
(+.f64 (*.f64 x.re (*.f64 x.im x.re)) (*.f64 x.re (*.f64 x.im x.re))) |
Compiled 35 641 to 3 345 computations (90.6% saved)
22 alts after pruning (16 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 031 | 11 | 1 042 |
| Fresh | 5 | 5 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 039 | 22 | 1 061 |
| Status | Accuracy | Program |
|---|---|---|
| 64.1% | (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) | |
| ✓ | 60.5% | (fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im)) |
| 39.0% | (fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 #s(approx (+ (* (/ x.im x.re) (neg x.im)) x.im) (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im)) | |
| 87.0% | (fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 #s(approx (+ x.re x.im) (fma.f64 (/.f64 x.re x.im) x.im x.im)) x.im) (-.f64 x.re x.im))) | |
| 46.3% | (fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) #s(approx (* (* (+ x.re x.im) x.im) (- x.re x.im)) (*.f64 (*.f64 x.re x.re) x.im))) | |
| 73.3% | (fma.f64 x.im (+.f64 x.re x.re) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im))) | |
| 86.2% | (+.f64 (/.f64 (neg.f64 x.im) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (+.f64 x.im x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 65.7% | (+.f64 (/.f64 (neg.f64 x.im) #s(approx (/ -1 (* (- x.re x.im) (+ x.re x.im))) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 76.6% | (+.f64 (*.f64 (/.f64 x.im (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)))) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 36.9% | (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 89.7% | (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))) | |
| 89.7% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) | |
| ✓ | 46.3% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)) |
| 52.1% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) | |
| ✓ | 46.3% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))) |
| 52.1% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))) | |
| ✓ | 52.1% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) |
| 59.1% | #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im)) | |
| 22.8% | #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)) | |
| 42.8% | #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))) | |
| ✓ | 59.3% | #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
| ✓ | 59.4% | #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
Compiled 1 657 to 537 computations (67.6% saved)
| Inputs |
|---|
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)) |
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im)) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) |
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) #s(approx (* (* (+ x.re x.im) x.im) (- x.re x.im)) (*.f64 (*.f64 x.re x.re) x.im))) |
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))) |
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) |
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) |
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.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 x.re (+.f64 x.im x.im)) x.re)) |
(+.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)) |
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 #s(approx (+ (* (/ x.im x.re) (neg x.im)) x.im) (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im)) |
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im)) |
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(fma.f64 x.im (+.f64 x.re x.re) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im))) |
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 #s(approx (+ x.re x.im) (fma.f64 (/.f64 x.re x.im) x.im x.im)) x.im) (-.f64 x.re x.im))) |
(+.f64 (/.f64 (neg.f64 x.im) #s(approx (/ -1 (* (- x.re x.im) (+ x.re x.im))) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re 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 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) |
(+.f64 (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (/.f64 (neg.f64 x.im) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (+.f64 x.im x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))) (-.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (/.f64 x.im (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)))) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) |
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (+.f64 x.im x.re) (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) x.im) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Outputs |
|---|
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) |
3 calls:
| 35.0ms | x.im |
| 12.0ms | x.re |
| 11.0ms | (+.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 |
|---|---|---|
| 95.5% | 2 | x.re |
| 99.9% | 2 | x.im |
| 99.7% | 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 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)) |
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im)) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) |
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) #s(approx (* (* (+ x.re x.im) x.im) (- x.re x.im)) (*.f64 (*.f64 x.re x.re) x.im))) |
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))) |
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) |
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) |
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.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 x.re (+.f64 x.im x.im)) x.re)) |
(+.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)) |
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 #s(approx (+ (* (/ x.im x.re) (neg x.im)) x.im) (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im)) |
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im)) |
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(fma.f64 x.im (+.f64 x.re x.re) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im))) |
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 #s(approx (+ x.re x.im) (fma.f64 (/.f64 x.re x.im) x.im x.im)) x.im) (-.f64 x.re x.im))) |
(+.f64 (/.f64 (neg.f64 x.im) #s(approx (/ -1 (* (- x.re x.im) (+ x.re x.im))) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re 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 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) |
(+.f64 (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (/.f64 (neg.f64 x.im) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (+.f64 x.im x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))) (-.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (/.f64 x.im (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)))) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Outputs |
|---|
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) |
2 calls:
| 172.0ms | (+.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)) |
| 11.0ms | x.im |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 99.7% | 2 | x.im |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)) |
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im)) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) |
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) #s(approx (* (* (+ x.re x.im) x.im) (- x.re x.im)) (*.f64 (*.f64 x.re x.re) x.im))) |
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))) |
| Outputs |
|---|
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) |
2 calls:
| 6.0ms | x.im |
| 5.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | x.im |
| 99.8% | 3 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)) |
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im)) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) |
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) #s(approx (* (* (+ x.re x.im) x.im) (- x.re x.im)) (*.f64 (*.f64 x.re x.re) x.im))) |
| Outputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) |
1 calls:
| 5.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 19 to 11 computations (42.1% saved)
| Inputs |
|---|
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)) |
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im)) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) |
| Outputs |
|---|
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) |
2 calls:
| 5.0ms | x.im |
| 4.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.0% | 2 | x.im |
| 99.3% | 3 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)) |
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im)) |
| Outputs |
|---|
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) |
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im)) |
2 calls:
| 75.0ms | (+.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)) |
| 4.0ms | x.re |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.6% | 2 | x.re |
| 95.0% | 3 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)) |
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) |
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
1 calls:
| 4.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 3 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 19 to 11 computations (42.1% saved)
| Inputs |
|---|
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)) |
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))) |
| Outputs |
|---|
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)) |
3 calls:
| 2.0ms | x.im |
| 2.0ms | x.re |
| 2.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.0% | 2 | x.re |
| 59.3% | 1 | x.im |
| 75.7% | 3 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 21 to 15 computations (28.6% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)) |
| Outputs |
|---|
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)) |
3 calls:
| 1.0ms | x.im |
| 1.0ms | x.re |
| 1.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 22.8% | 1 | x.im |
| 22.8% | 1 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 22.8% | 1 | x.re |
Compiled 21 to 15 computations (28.6% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 1.004010143840511e-5 | 0.00021570111120765916 |
| 2.0ms | 32× | 0 | valid |
Compiled 124 to 80 computations (35.5% saved)
ival-mult: 1.0ms (65.7% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 1.2916189039047598e+77 | 2.725462927110801e+77 |
| 1.0ms | 16× | 0 | valid |
Compiled 51 to 36 computations (29.4% saved)
ival-mult: 1.0ms (136.2% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 1.9571172795208822e+237 | 7.038219343093586e+237 |
Compiled 22 to 16 computations (27.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 1.9571172795208822e+237 | 7.038219343093586e+237 |
Compiled 22 to 16 computations (27.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 4.0ms | +inf | NaN |
| 0.0ms | -5e-324 | 0.0 |
Compiled 22 to 16 computations (27.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -5e-324 | 0.0 |
Compiled 22 to 16 computations (27.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -5e-324 | 0.0 |
Compiled 22 to 16 computations (27.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 6.742106112432092e+77 | 7.106910415519716e+79 |
| 8.0ms | 112× | 0 | valid |
Compiled 344 to 226 computations (34.3% saved)
ival-mult: 4.0ms (76.7% of total)ival-add: 1.0ms (19.2% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 722 |
| 1 | 128 | 722 |
| 2 | 138 | 722 |
| 3 | 147 | 722 |
| 4 | 150 | 722 |
| 5 | 151 | 722 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x.im #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))))) |
(if (<=.f64 x.im #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 1999999999999999880410922628661898315278071538678791126563081649282576329786278649903494429373980989335230656744102661120760849164891004524770093991532804965215587000511156188226262818135277000436526957289547395541658627807309398372515840 binary64)) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 1999999999999999880410922628661898315278071538678791126563081649282576329786278649903494429373980989335230656744102661120760849164891004524770093991532804965215587000511156188226262818135277000436526957289547395541658627807309398372515840 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)))) |
(if (<=.f64 x.re #s(literal 69999999999999996069415967724962592404255642689199354410126306696851159204757504 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))) |
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)) |
| Outputs |
|---|
(if (<=.f64 x.im #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))))) |
(if (<=.f64 x.im #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 (*.f64 (*.f64 (+.f64 x.im x.im) x.re) x.re) (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64))))) |
(if (<=.f64 x.im #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))) |
(if (<=.f64 x.im #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (+.f64 (*.f64 (*.f64 (+.f64 x.im x.im) x.re) x.re) (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im))) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 1999999999999999880410922628661898315278071538678791126563081649282576329786278649903494429373980989335230656744102661120760849164891004524770093991532804965215587000511156188226262818135277000436526957289547395541658627807309398372515840 binary64)) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal 1999999999999999880410922628661898315278071538678791126563081649282576329786278649903494429373980989335230656744102661120760849164891004524770093991532804965215587000511156188226262818135277000436526957289547395541658627807309398372515840 binary64)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64))) x.im) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 1999999999999999880410922628661898315278071538678791126563081649282576329786278649903494429373980989335230656744102661120760849164891004524770093991532804965215587000511156188226262818135277000436526957289547395541658627807309398372515840 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal 1999999999999999880410922628661898315278071538678791126563081649282576329786278649903494429373980989335230656744102661120760849164891004524770093991532804965215587000511156188226262818135277000436526957289547395541658627807309398372515840 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)))) |
(if (<=.f64 x.re #s(literal 69999999999999996069415967724962592404255642689199354410126306696851159204757504 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))) |
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 224 |
| 0 | 72 | 214 |
| 1 | 247 | 182 |
| 0 | 1375 | 177 |
| 0 | 57 | 180 |
| 1 | 182 | 170 |
| 2 | 586 | 170 |
| 3 | 2560 | 170 |
| 4 | 6935 | 170 |
| 0 | 8454 | 170 |
| 0 | 44 | 269 |
| 0 | 70 | 241 |
| 1 | 269 | 209 |
| 2 | 1684 | 209 |
| 0 | 8405 | 204 |
| 0 | 357 | 1206 |
| 1 | 1201 | 880 |
| 2 | 4862 | 791 |
| 0 | 8190 | 762 |
| 0 | 46 | 228 |
| 0 | 73 | 228 |
| 1 | 287 | 200 |
| 2 | 2093 | 200 |
| 0 | 9084 | 197 |
| 0 | 11 | 54 |
| 0 | 20 | 54 |
| 1 | 79 | 42 |
| 0 | 536 | 41 |
| 0 | 250 | 1039 |
| 1 | 792 | 897 |
| 2 | 2533 | 828 |
| 0 | 8221 | 801 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 201 to 765 computations (65.2% saved)
(abs x.re)
Compiled 1 846 to 418 computations (77.4% saved)
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