
Time bar (total: 7.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 21 to 13 computations (38.1% saved)
| 1.2s | 8 256× | 0 | valid |
ival-mult: 690.0ms (76.5% of total)ival-sub: 112.0ms (12.4% of total)ival-add: 91.0ms (10.1% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 21 | 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)) |
| 15 | 0 | - | 0 | - | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
| 11 | 0 | - | 0 | - | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| 0 | 0 | - | 0 | - | (*.f64 x.re x.im) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
| 0 | 0 | - | 0 | - | (*.f64 x.im x.im) |
| 0 | 0 | - | 0 | - | (*.f64 x.re x.re) |
| 0 | 0 | - | 0 | - | (*.f64 x.im x.re) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| 0 | 0 | - | 0 | - | x.re |
| 0 | 0 | - | 0 | - | x.im |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (*.f64 (-.f64 (*.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 | 21 | 0 |
| ↳ | (*.f64 x.re x.re) | overflow | 58 | |
| ↳ | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | overflow | 106 | |
| ↳ | (*.f64 x.im x.im) | overflow | 59 | |
| ↳ | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) | overflow | 115 | |
| ↳ | (*.f64 x.im x.re) | overflow | 30 | |
| ↳ | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) | overflow | 61 | |
| ↳ | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | overflow | 30 | |
| ↳ | (*.f64 x.re x.im) | overflow | 30 | |
*.f64 | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) | n*o | 15 | 0 |
-.f64 | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | nan-rescue | 11 | 0 |
| ↳ | (*.f64 x.re x.re) | overflow | 58 | |
| ↳ | (*.f64 x.im x.im) | overflow | 59 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 39 | 0 |
| - | 0 | 217 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 39 | 0 | 0 |
| - | 0 | 0 | 217 |
| number | freq |
|---|---|
| 0 | 217 |
| 1 | 31 |
| 2 | 8 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 85.0ms | 512× | 0 | valid |
Compiled 218 to 48 computations (78% saved)
ival-mult: 18.0ms (70.7% of total)ival-add: 4.0ms (15.7% of total)ival-sub: 2.0ms (7.9% 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 |
|---|---|---|
| ▶ | 84.9% | (+.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 | 0.09765625 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) | |
| accuracy | 2.597639736641647 | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | |
| accuracy | 3.6251376734114906 | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) | |
| accuracy | 5.351519152434322 | (+.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)) |
| 72.0ms | 256× | 0 | valid |
Compiled 132 to 24 computations (81.8% saved)
ival-mult: 8.0ms (67.3% of total)ival-add: 2.0ms (16.8% of total)ival-sub: 1.0ms (8.4% 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)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 83 | 8 | 91 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 84 | 8 | 92 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 21.2% | (+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 38.3% | (+.f64 (*.f64 (/.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))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| ▶ | 91.6% | (+.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)) |
| 65.4% | (+.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)) | |
| ▶ | 50.5% | (+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| ▶ | 65.5% | (+.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)) |
| 91.1% | #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)) | |
| ▶ | 50.5% | #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 434 to 248 computations (42.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.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)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) | |
| cost-diff | 192 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| cost-diff | 448 | (+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 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 | (*.f64 (*.f64 x.re x.re) x.im) | |
| cost-diff | 0 | #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) | |
| cost-diff | 128 | (+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.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 | (*.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 | 43 | 394 |
| 0 | 68 | 394 |
| 1 | 120 | 368 |
| 2 | 208 | 368 |
| 3 | 426 | 354 |
| 4 | 910 | 354 |
| 5 | 2470 | 354 |
| 6 | 5457 | 354 |
| 0 | 8053 | 351 |
| 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 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.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) (*.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 |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(+.f64 #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 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) |
(/.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)))) |
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) |
(pow.f64 x.re #s(literal 6 binary64)) |
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 x.im x.im) |
(fma.f64 x.im x.im (*.f64 x.re x.re)) |
(*.f64 x.re x.re) |
(pow.f64 x.re #s(literal 4 binary64)) |
#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 (neg.f64 x.im) x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re 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) 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 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) |
(*.f64 (*.f64 x.re x.re) x.im) |
(*.f64 x.re x.re) |
x.re |
x.im |
#s(literal 3 binary64) |
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.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) (*.f64 (*.f64 x.re x.re) x.im))) |
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.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 |
(*.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) |
(+.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) (neg.f64 (pow.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)))) |
(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 #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 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.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 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))))) x.im) |
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) |
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) x.im) |
(/.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)))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (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))) |
(pow.f64 x.re #s(literal 6 binary64)) |
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))) |
(fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))) |
(*.f64 x.im x.im) |
(fma.f64 x.im x.im (*.f64 x.re x.re)) |
(fma.f64 x.re x.re (*.f64 x.im x.im)) |
(*.f64 x.re x.re) |
(pow.f64 x.re #s(literal 4 binary64)) |
#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 | 4.035156250000001 | (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))) | |
| accuracy | 5.351519152434322 | (+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| accuracy | 9.035112902434324 | (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) | |
| accuracy | 48.67494111791852 | (/.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)))) | |
| accuracy | 0.01171875 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| accuracy | 0.09765625 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) | |
| accuracy | 5.351519152434322 | (+.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 | 26.93355513375001 | #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) | |
| accuracy | 0.09765625 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) | |
| accuracy | 5.351519152434322 | (+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| accuracy | 7.088113365194312 | (*.f64 (*.f64 x.re x.re) x.im) | |
| accuracy | 28.080805821199252 | #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) | |
| accuracy | 0 | (*.f64 x.re x.re) | |
| accuracy | 0.203125 | (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) | |
| accuracy | 7.088113365194312 | (*.f64 (*.f64 x.re x.re) x.im) | |
| accuracy | 28.081066107220906 | #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 | 0.01171875 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| accuracy | 0.0859375 | (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) | |
| accuracy | 0.09765625 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) | |
| accuracy | 5.351519152434322 | (+.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)) |
| 234.0ms | 256× | 0 | valid |
Compiled 769 to 78 computations (89.9% saved)
ival-add: 70.0ms (52.8% of total)ival-pow: 39.0ms (29.4% of total)ival-mult: 17.0ms (12.8% of total)ival-sub: 3.0ms (2.3% of total)ival-div: 2.0ms (1.5% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.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) (*.f64 (*.f64 x.re 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)) |
#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 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) |
(/.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)))) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) |
(fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) |
| 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 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im)))) |
(* -1 (pow x.im 2)) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(* 2 (* x.im (pow x.re 2))) |
(* -1 (pow x.im 6)) |
(- (pow x.re 6) (pow x.im 6)) |
(pow x.im 4) |
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.im 4)) |
(+ (* (pow x.re 2) (+ (pow x.im 2) (pow x.re 2))) (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) (- (+ x.im (+ (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2)))) |
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4)))))) |
(* (pow x.re 2) (- (+ x.im (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4)))) (/ (pow x.im 3) (pow x.re 2)))) |
(* (pow x.re 2) (- (+ x.im (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4)))))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (/ (pow x.im 2) (pow x.re 2)))) |
(* (pow x.re 2) (- (+ 1 (/ (* (pow x.im 2) (+ (* -1 (pow x.im 4)) (pow x.im 4))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))))) |
(pow x.re 6) |
(* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6))))) |
(pow x.re 4) |
(* (pow x.re 4) (+ 1 (/ (pow x.im 2) (pow x.re 2)))) |
(* (pow x.re 4) (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (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))) |
(* 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))) |
(+ (* -1 (pow x.im 6)) (pow x.re 6)) |
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.re 4)) |
(+ (* (pow x.im 2) (+ (pow x.im 2) (pow x.re 2))) (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 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 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 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)) (/ (pow x.re 6) (pow x.im 6)))))))) 1)) |
(* (pow x.im 3) (- (* -1 (/ (+ (* -1 (pow x.re 4)) (pow x.re 4)) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
(* (pow x.im 3) (- (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (- (* -1 (/ (+ (* -1 (pow x.re 4)) (pow x.re 4)) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
(* (pow x.im 2) (- (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))) |
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 1)) |
(* (pow x.im 4) (+ 1 (/ (pow x.re 2) (pow x.im 2)))) |
(* (pow x.im 4) (+ 1 (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) |
(* -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)))))) |
(* -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.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | 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.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)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) |
| 7.0ms | 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.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)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) |
| 6.0ms | 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.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)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 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.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)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) |
| 4.0ms | 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.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)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 277 | 1207 |
| 1 | 949 | 986 |
| 2 | 3531 | 863 |
| 0 | 8357 | 830 |
| 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 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im)))) |
(* -1 (pow x.im 2)) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(* 2 (* x.im (pow x.re 2))) |
(* -1 (pow x.im 6)) |
(- (pow x.re 6) (pow x.im 6)) |
(pow x.im 4) |
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.im 4)) |
(+ (* (pow x.re 2) (+ (pow x.im 2) (pow x.re 2))) (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) (- (+ x.im (+ (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2)))) |
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4)))))) |
(* (pow x.re 2) (- (+ x.im (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4)))) (/ (pow x.im 3) (pow x.re 2)))) |
(* (pow x.re 2) (- (+ x.im (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4)))))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (/ (pow x.im 2) (pow x.re 2)))) |
(* (pow x.re 2) (- (+ 1 (/ (* (pow x.im 2) (+ (* -1 (pow x.im 4)) (pow x.im 4))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))))) |
(pow x.re 6) |
(* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6))))) |
(pow x.re 4) |
(* (pow x.re 4) (+ 1 (/ (pow x.im 2) (pow x.re 2)))) |
(* (pow x.re 4) (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (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))) |
(* 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))) |
(+ (* -1 (pow x.im 6)) (pow x.re 6)) |
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.re 4)) |
(+ (* (pow x.im 2) (+ (pow x.im 2) (pow x.re 2))) (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 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 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 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)) (/ (pow x.re 6) (pow x.im 6)))))))) 1)) |
(* (pow x.im 3) (- (* -1 (/ (+ (* -1 (pow x.re 4)) (pow x.re 4)) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
(* (pow x.im 3) (- (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (- (* -1 (/ (+ (* -1 (pow x.re 4)) (pow x.re 4)) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
(* (pow x.im 2) (- (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))) |
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 1)) |
(* (pow x.im 4) (+ 1 (/ (pow x.re 2) (pow x.im 2)))) |
(* (pow x.im 4) (+ 1 (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) |
(* -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)))))) |
(* -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.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))) |
| 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 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) |
(* -1 (pow x.im 2)) |
(*.f64 (neg.f64 x.im) x.im) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re) |
(* -1 (pow x.im 6)) |
(neg.f64 (pow.f64 x.im #s(literal 6 binary64))) |
(- (pow x.re 6) (pow x.im 6)) |
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) |
(pow x.im 4) |
(pow.f64 x.im #s(literal 4 binary64)) |
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.im 4)) |
(fma.f64 (*.f64 (*.f64 x.re x.re) x.im) x.im (pow.f64 x.im #s(literal 4 binary64))) |
(+ (* (pow x.re 2) (+ (pow x.im 2) (pow x.re 2))) (pow x.im 4)) |
(fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.re) x.re (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 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) 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 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) x.re) x.re) |
(* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2)))) |
(*.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 (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4)))))) |
(*.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 (pow x.im 5)) (pow x.im 5)) (pow x.re 4)))) (/ (pow x.im 3) (pow x.re 2)))) |
(*.f64 (*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) x.re) x.re) |
(* (pow x.re 2) (- (+ x.im (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4)))))) |
(*.f64 (*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) 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)) |
(* (pow x.re 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (/ (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)) |
(* (pow x.re 2) (- (+ 1 (/ (* (pow x.im 2) (+ (* -1 (pow x.im 4)) (pow x.im 4))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re)) |
(pow x.re 6) |
(pow.f64 x.re #s(literal 6 binary64)) |
(* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (pow.f64 x.re #s(literal 6 binary64))) |
(pow x.re 4) |
(pow.f64 x.re #s(literal 4 binary64)) |
(* (pow x.re 4) (+ 1 (/ (pow x.im 2) (pow x.re 2)))) |
(*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 4 binary64))) |
(* (pow x.re 4) (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4))))) |
(*.f64 (+.f64 (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)))) (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 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) x.re) x.re) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(fma.f64 (/.f64 x.im x.re) x.re 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) |
(+ (* -1 (pow x.im 6)) (pow x.re 6)) |
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) |
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.re 4)) |
(*.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.re) x.re) |
(+ (* (pow x.im 2) (+ (pow x.im 2) (pow x.re 2))) (pow x.re 4)) |
(fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.re) x.re (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 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) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 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)) (/ (pow x.re 6) (pow x.im 6)))))))) 1)) |
(*.f64 (-.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) (+.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (/.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 (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 3) (- (* -1 (/ (+ (* -1 (pow x.re 4)) (pow x.re 4)) (pow x.im 4))) (+ 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))) |
(* (pow x.im 3) (- (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))) |
(*.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 2) (- (* -1 (/ (+ (* -1 (pow x.re 4)) (pow x.re 4)) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 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) |
(* (pow x.im 2) (- (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))) |
(*.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 6) (- (/ (pow x.re 6) (pow x.im 6)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 6 binary64))) |
(* (pow x.im 4) (+ 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 4 binary64))) |
(* (pow x.im 4) (+ 1 (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 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 (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))) |
(* -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 (*.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))) |
(* -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))) |
(* -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.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))) |
(*.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))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))) |
(*.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))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))) |
(*.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 (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))) |
(*.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 | 43 | 268 |
| 0 | 68 | 240 |
| 1 | 279 | 198 |
| 2 | 1872 | 198 |
| 0 | 8457 | 193 |
| 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 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.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) (*.f64 (*.f64 x.re 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)) |
#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 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) |
(/.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)))) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) |
(fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) |
| 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 (/.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))) (pow.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))) #s(literal -1 binary64))) |
(pow.f64 (/.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 (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)))) #s(literal -1 binary64)) |
(pow.f64 (/.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))) (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)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.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 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.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 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.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 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.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))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.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 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.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 (/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.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 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.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 (-.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)))) (neg.f64 (-.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 (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))))) (neg.f64 (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 (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))))) (neg.f64 (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 (*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.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 (-.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)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))) (*.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 (*.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 (fma.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) #s(literal 0 binary64) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 #s(literal 0 binary64) x.re))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 0 binary64))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) #s(literal 0 binary64) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 x.re #s(literal 0 binary64)))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 0 binary64))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) (*.f64 (-.f64 x.re x.im) x.im)) #s(literal 0 binary64) (*.f64 (-.f64 x.im x.re) (*.f64 #s(literal 0 binary64) x.re))) (*.f64 (-.f64 x.im x.re) #s(literal 0 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (-.f64 x.im x.re) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re))) (*.f64 (-.f64 x.im x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) (*.f64 (-.f64 x.re x.im) x.im)) #s(literal 0 binary64) (*.f64 (-.f64 x.im x.re) (*.f64 x.re #s(literal 0 binary64)))) (*.f64 (-.f64 x.im x.re) #s(literal 0 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (-.f64 x.im x.re) (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))) (*.f64 (-.f64 x.im x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (-.f64 x.re x.im) x.im)) #s(literal 0 binary64) (*.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) (*.f64 #s(literal 0 binary64) x.re))) (*.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) #s(literal 0 binary64))) |
(/.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re))) (*.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (-.f64 x.re x.im) x.im)) #s(literal 0 binary64) (*.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) (*.f64 x.re #s(literal 0 binary64)))) (*.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) #s(literal 0 binary64))) |
(/.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))) (*.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) x.re))) (*.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) #s(literal -1 binary64)) #s(literal 0 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re))) (*.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
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(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 6 binary64))) (fma.f64 (+.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))) (-.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 x.im #s(literal 12 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 8 binary64)) (-.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (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)) (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64)))) (neg.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64))) (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64))) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (+.f64 x.re x.im)) (/.f64 (*.f64 x.im x.im) (-.f64 x.im x.re)) (pow.f64 x.re #s(literal 4 binary64))) |
(fma.f64 (/.f64 (*.f64 x.im x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 x.im x.re)) (pow.f64 x.re #s(literal 4 binary64))) |
(fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))) |
(fma.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) x.re (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) |
(fma.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64))) |
(fma.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64))) |
(fma.f64 (*.f64 x.im x.im) (*.f64 x.im x.im) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) x.im (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) |
(fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) |
(fma.f64 x.re (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) |
(fma.f64 x.im (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) (pow.f64 x.re #s(literal 4 binary64))) |
(fma.f64 x.im (pow.f64 x.im #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) |
(-.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (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 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (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))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) |
(+.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) |
(+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (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)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) |
Compiled 38 511 to 3 058 computations (92.1% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 899 | 8 | 907 |
| Fresh | 3 | 0 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 906 | 9 | 915 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.3% | (+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| ▶ | 90.0% | #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
| ✓ | 50.5% | #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))) |
| ▶ | 55.9% | #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))) |
| 50.5% | #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))) | |
| ▶ | 56.0% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) |
| 56.0% | #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 (*.f64 x.re x.im) #s(literal 3 binary64)))) | |
| ▶ | 55.9% | #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)))) |
| 57.9% | #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 513 to 294 computations (42.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 192 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| cost-diff | 704 | (+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| cost-diff | 6848 | (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))) | |
| cost-diff | 7488 | (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (*.f64 x.re x.im) | |
| cost-diff | 0 | (*.f64 (*.f64 x.re x.im) x.re) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #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.im) x.re) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 x.re x.im) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) x.re) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re 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 #s(literal 3 binary64) x.re) (*.f64 x.re 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 x.re x.re) | |
| cost-diff | 0 | (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im) | |
| cost-diff | 0 | #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.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 | 55 | 365 |
| 0 | 82 | 327 |
| 1 | 162 | 297 |
| 2 | 368 | 283 |
| 3 | 1265 | 263 |
| 4 | 6997 | 263 |
| 0 | 8300 | 260 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) 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) |
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) |
(*.f64 x.re x.re) |
x.re |
#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 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 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)) |
(*.f64 #s(literal 3 binary64) x.re) |
#s(literal 3 binary64) |
x.re |
(*.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 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)) |
(*.f64 (*.f64 x.re x.im) x.re) |
(*.f64 x.re x.im) |
x.re |
x.im |
#s(literal 3 binary64) |
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.f64 (-.f64 x.re x.im) x.im)) |
(*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) |
(/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) |
(-.f64 x.re x.im) |
x.re |
x.im |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(+.f64 x.re x.im) |
(/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))) |
(pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.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 x.re x.im) |
(*.f64 x.im x.re) |
| Outputs |
|---|
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) 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) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im) |
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) |
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) |
(*.f64 x.re x.re) |
x.re |
#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 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.re) x.re) x.im)) |
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) |
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 #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 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) |
(*.f64 #s(literal 3 binary64) x.re) |
#s(literal 3 binary64) |
x.re |
(*.f64 x.re x.im) |
(*.f64 x.im 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.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 #s(literal 3 binary64) x.re) x.re) x.im)) |
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) |
(*.f64 (*.f64 x.re x.im) x.re) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
x.re |
x.im |
#s(literal 3 binary64) |
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.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 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im) |
(*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.f64 (-.f64 x.re x.im) x.im)) |
(*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) |
(*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) |
(+.f64 x.im x.re) |
(/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) |
(pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) |
(-.f64 x.re x.im) |
x.re |
x.im |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) |
(+.f64 x.re x.im) |
(+.f64 x.im x.re) |
(/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))) |
(*.f64 (+.f64 x.im x.re) (+.f64 x.im x.re)) |
(pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)) |
(pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (-.f64 x.re x.im) x.im) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.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 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.18359375 | (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))) | |
| accuracy | 5.351519152434322 | (+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| accuracy | 27.708116298527994 | (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) | |
| accuracy | 27.718639356934037 | (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) | |
| accuracy | 0 | (*.f64 x.re x.im) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 x.re x.im) x.re) | |
| accuracy | 0.203125 | (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)) | |
| accuracy | 28.081066107220906 | #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))) | |
| accuracy | 0 | (*.f64 x.re x.im) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) x.re) | |
| accuracy | 0.18197250976844204 | (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)) | |
| accuracy | 28.081066107220906 | #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))) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) x.im) | |
| accuracy | 0.16796875 | (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))) | |
| accuracy | 0.1953125 | (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)) | |
| accuracy | 28.081066107220906 | #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 | (neg.f64 x.im) | |
| accuracy | 0 | #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)) | |
| accuracy | 2.6796709866416464 | (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) | |
| accuracy | 3.6324536747803964 | (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im) |
| 109.0ms | 256× | 0 | valid |
Compiled 698 to 104 computations (85.1% saved)
ival-mult: 61.0ms (67.9% of total)ival-pow: 10.0ms (11.1% of total)ival-add: 9.0ms (10% of total)ival-div: 4.0ms (4.5% of total)ival-sub: 4.0ms (4.5% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) 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) |
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) |
(*.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)))) |
(*.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 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)) |
(*.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 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)) |
(*.f64 (*.f64 x.re x.im) x.re) |
(*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) |
(/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.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)) |
(neg.f64 x.im) |
(/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) |
| Outputs |
|---|
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(* -1 (pow x.im 2)) |
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) |
(pow x.re 2) |
(+ (* -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)) |
(* 3 x.re) |
(* x.im x.re) |
(* x.im (pow x.re 2)) |
x.im |
(+ x.im x.re) |
(pow x.im 2) |
(+ (* 2 (* x.im x.re)) (pow x.im 2)) |
(+ (* x.re (+ x.re (* 2 x.im))) (pow x.im 2)) |
(+ (* -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 x.im) |
(+ (* -1 (/ x.re (pow x.im 2))) (/ 1 x.im)) |
(+ (* x.re (- (/ x.re (pow x.im 3)) (/ 1 (pow x.im 2)))) (/ 1 x.im)) |
(+ (* x.re (- (* x.re (+ (* -1 (/ x.re (pow x.im 4))) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2)))) (/ 1 x.im)) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2)))) |
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4)))))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* 3 (pow x.re 2)) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
x.re |
(* x.re (+ 1 (/ x.im x.re))) |
(* (pow x.re 2) (+ 1 (* 2 (/ x.im x.re)))) |
(* (pow x.re 2) (+ 1 (+ (* 2 (/ x.im x.re)) (/ (pow x.im 2) (pow x.re 2))))) |
(* (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))))) |
(/ 1 x.re) |
(/ (+ 1 (* -1 (/ x.im x.re))) x.re) |
(/ (- (+ 1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)) x.re) |
(/ (- (+ 1 (* -1 (/ (pow x.im 3) (pow x.re 3)))) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))) x.re) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -2 x.im) (* -1 (/ (pow x.im 2) 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)))) |
(* -1 (/ (- (/ x.im x.re) 1) x.re)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x.im 2) x.re) x.im) x.re)) 1) x.re)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x.im 3) x.re) (pow x.im 2)) x.re)) x.im) x.re)) 1) x.re)) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* 3 x.im) |
(+ (* 2 (* x.im x.re)) (pow x.re 2)) |
(+ (* x.im (+ x.im (* 2 x.re))) (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)))) |
(* -1 x.im) |
(+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.re)) |
(+ (* x.im (- (/ x.im (pow x.re 3)) (/ 1 (pow x.re 2)))) (/ 1 x.re)) |
(+ (* x.im (- (* x.im (+ (* -1 (/ x.im (pow x.re 4))) (/ 1 (pow x.re 3)))) (/ 1 (pow x.re 2)))) (/ 1 x.re)) |
(* (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) (- (+ (* -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 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 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)) (/ (pow x.re 6) (pow x.im 6)))))))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* x.im (+ 1 (/ x.re x.im))) |
(* (pow x.im 2) (+ 1 (* 2 (/ x.re x.im)))) |
(* (pow x.im 2) (+ 1 (+ (* 2 (/ x.re x.im)) (/ (pow x.re 2) (pow x.im 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)) |
(/ (+ 1 (* -1 (/ x.re x.im))) x.im) |
(/ (- (+ 1 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im)) x.im) |
(/ (- (+ 1 (* -1 (/ (pow x.re 3) (pow x.im 3)))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ x.re 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 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(* (pow x.im 2) (+ 1 (* -1 (/ (+ (* -2 x.re) (* -1 (/ (pow x.re 2) x.im))) x.im)))) |
(* -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 (/ (- (/ x.re x.im) 1) x.im)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x.re 2) x.im) x.re) x.im)) 1) x.im)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x.re 3) x.im) (pow x.re 2)) x.im)) x.re) x.im)) 1) x.im)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x.im | @ | -inf | ((+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg 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.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)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re 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.im) x.re) 3) (* (* x.re x.im) x.re) (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1)) (+ (* (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (neg x.im) (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im)))) |
| 3.0ms | x.re | @ | 0 | ((+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg 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.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)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re 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.im) x.re) 3) (* (* x.re x.im) x.re) (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1)) (+ (* (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (neg x.im) (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im)))) |
| 3.0ms | x.im | @ | inf | ((+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg 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.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)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re 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.im) x.re) 3) (* (* x.re x.im) x.re) (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1)) (+ (* (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (neg x.im) (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im)))) |
| 3.0ms | x.im | @ | 0 | ((+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg 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.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)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re 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.im) x.re) 3) (* (* x.re x.im) x.re) (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1)) (+ (* (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (neg x.im) (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im)))) |
| 3.0ms | x.re | @ | -inf | ((+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg 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.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)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re 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.im) x.re) 3) (* (* x.re x.im) x.re) (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1)) (+ (* (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (neg x.im) (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 331 | 999 |
| 1 | 1060 | 933 |
| 2 | 3399 | 881 |
| 0 | 8273 | 842 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(* -1 (pow x.im 2)) |
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) |
(pow x.re 2) |
(+ (* -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)) |
(* 3 x.re) |
(* x.im x.re) |
(* x.im (pow x.re 2)) |
x.im |
(+ x.im x.re) |
(pow x.im 2) |
(+ (* 2 (* x.im x.re)) (pow x.im 2)) |
(+ (* x.re (+ x.re (* 2 x.im))) (pow x.im 2)) |
(+ (* -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 x.im) |
(+ (* -1 (/ x.re (pow x.im 2))) (/ 1 x.im)) |
(+ (* x.re (- (/ x.re (pow x.im 3)) (/ 1 (pow x.im 2)))) (/ 1 x.im)) |
(+ (* x.re (- (* x.re (+ (* -1 (/ x.re (pow x.im 4))) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2)))) (/ 1 x.im)) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2)))) |
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4)))))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* 3 (pow x.re 2)) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
x.re |
(* x.re (+ 1 (/ x.im x.re))) |
(* (pow x.re 2) (+ 1 (* 2 (/ x.im x.re)))) |
(* (pow x.re 2) (+ 1 (+ (* 2 (/ x.im x.re)) (/ (pow x.im 2) (pow x.re 2))))) |
(* (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))))) |
(/ 1 x.re) |
(/ (+ 1 (* -1 (/ x.im x.re))) x.re) |
(/ (- (+ 1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)) x.re) |
(/ (- (+ 1 (* -1 (/ (pow x.im 3) (pow x.re 3)))) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))) x.re) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -2 x.im) (* -1 (/ (pow x.im 2) 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)))) |
(* -1 (/ (- (/ x.im x.re) 1) x.re)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x.im 2) x.re) x.im) x.re)) 1) x.re)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x.im 3) x.re) (pow x.im 2)) x.re)) x.im) x.re)) 1) x.re)) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* 3 x.im) |
(+ (* 2 (* x.im x.re)) (pow x.re 2)) |
(+ (* x.im (+ x.im (* 2 x.re))) (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)))) |
(* -1 x.im) |
(+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.re)) |
(+ (* x.im (- (/ x.im (pow x.re 3)) (/ 1 (pow x.re 2)))) (/ 1 x.re)) |
(+ (* x.im (- (* x.im (+ (* -1 (/ x.im (pow x.re 4))) (/ 1 (pow x.re 3)))) (/ 1 (pow x.re 2)))) (/ 1 x.re)) |
(* (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) (- (+ (* -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 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 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)) (/ (pow x.re 6) (pow x.im 6)))))))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* x.im (+ 1 (/ x.re x.im))) |
(* (pow x.im 2) (+ 1 (* 2 (/ x.re x.im)))) |
(* (pow x.im 2) (+ 1 (+ (* 2 (/ x.re x.im)) (/ (pow x.re 2) (pow x.im 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)) |
(/ (+ 1 (* -1 (/ x.re x.im))) x.im) |
(/ (- (+ 1 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im)) x.im) |
(/ (- (+ 1 (* -1 (/ (pow x.re 3) (pow x.im 3)))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ x.re 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 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(* (pow x.im 2) (+ 1 (* -1 (/ (+ (* -2 x.re) (* -1 (/ (pow x.re 2) x.im))) x.im)))) |
(* -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 (/ (- (/ x.re x.im) 1) x.im)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x.re 2) x.im) x.re) x.im)) 1) x.im)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x.re 3) x.im) (pow x.re 2)) x.im)) x.re) x.im)) 1) x.im)) |
| Outputs |
|---|
(* -1 (pow x.im 3)) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im)))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im) |
(* -1 (pow x.im 2)) |
(*.f64 (neg.f64 x.im) x.im) |
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) |
(fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) |
(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 x.re x.re) #s(literal 3 binary64))) x.im) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(* 3 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) |
(* 3 x.re) |
(*.f64 #s(literal 3 binary64) x.re) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.im (pow x.re 2)) |
(*.f64 (*.f64 x.re x.re) x.im) |
x.im |
(+ x.im x.re) |
(+.f64 x.im x.re) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(+ (* 2 (* x.im x.re)) (pow x.im 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x.re x.im) x.im) |
(+ (* x.re (+ x.re (* 2 x.im))) (pow x.im 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x.im x.re) x.re (*.f64 x.im x.im)) |
(+ (* -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 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(/ 1 x.im) |
(/.f64 #s(literal 1 binary64) x.im) |
(+ (* -1 (/ x.re (pow x.im 2))) (/ 1 x.im)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.re x.im)) x.im) |
(+ (* x.re (- (/ x.re (pow x.im 3)) (/ 1 (pow x.im 2)))) (/ 1 x.im)) |
(/.f64 (fma.f64 (/.f64 x.re x.im) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) #s(literal 1 binary64)) x.im) |
(+ (* x.re (- (* x.re (+ (* -1 (/ x.re (pow x.im 4))) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2)))) (/ 1 x.im)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 x.re (pow.f64 x.im #s(literal 4 binary64)))) x.re (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))) x.re (/.f64 #s(literal 1 binary64) 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 (-.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 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2)))) |
(*.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 (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4)))))) |
(*.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) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 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)) |
(* 3 (pow x.re 2)) |
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) |
(* (pow x.re 2) (+ 3 (* -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 3 binary64)) (*.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) (+ 1 (* 2 (/ x.im x.re)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x.im x.re) #s(literal 2 binary64) #s(literal 1 binary64)) x.re) x.re) |
(* (pow x.re 2) (+ 1 (+ (* 2 (/ x.im x.re)) (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (fma.f64 (/.f64 x.im x.re) (+.f64 #s(literal 2 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64)) (*.f64 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 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) (/ (* 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)) |
(/ 1 x.re) |
(/.f64 #s(literal 1 binary64) x.re) |
(/ (+ 1 (* -1 (/ x.im x.re))) x.re) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re) |
(/ (- (+ 1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)) x.re) |
(/.f64 (fma.f64 (/.f64 x.im x.re) (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) #s(literal 1 binary64)) x.re) |
(/ (- (+ 1 (* -1 (/ (pow x.im 3) (pow x.re 3)))) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))) x.re) |
(/.f64 (fma.f64 x.im (/.f64 (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64)))) x.re) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(fma.f64 (/.f64 x.im x.re) x.re x.re) |
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -2 x.im) (* -1 (/ (pow x.im 2) x.re))) x.re)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im (-.f64 #s(literal -2 binary64) (/.f64 x.im 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)) |
(* -1 (/ (- (/ x.im x.re) 1) x.re)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x.im 2) x.re) x.im) x.re)) 1) x.re)) |
(/.f64 (fma.f64 (/.f64 x.im x.re) (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) #s(literal 1 binary64)) x.re) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x.im 3) x.re) (pow x.im 2)) x.re)) x.im) x.re)) 1) x.re)) |
(/.f64 (fma.f64 x.im (/.f64 (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64)))) x.re) |
(* 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 x.re x.re) #s(literal 3 binary64))) x.im) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im) |
(* 3 x.im) |
(*.f64 #s(literal 3 binary64) x.im) |
(+ (* 2 (* x.im x.re)) (pow x.re 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x.im x.re) x.re) |
(+ (* x.im (+ x.im (* 2 x.re))) (pow x.re 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x.im x.re) x.re (*.f64 x.im 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) x.im) #s(literal 3 binary64)) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im) |
(* -1 x.im) |
(neg.f64 x.im) |
(+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.re)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re) |
(+ (* x.im (- (/ x.im (pow x.re 3)) (/ 1 (pow x.re 2)))) (/ 1 x.re)) |
(/.f64 (fma.f64 (/.f64 x.im x.re) (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) #s(literal 1 binary64)) x.re) |
(+ (* x.im (- (* x.im (+ (* -1 (/ x.im (pow x.re 4))) (/ 1 (pow x.re 3)))) (/ 1 (pow x.re 2)))) (/ 1 x.re)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64))) (/.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 (/.f64 #s(literal 1 binary64) x.re)) |
(* (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 (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* (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 x.re (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 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)) (/ (pow x.re 6) (pow x.im 6)))))))) 1)) |
(*.f64 (-.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (*.f64 x.re (/.f64 x.re x.im)) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (/.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 (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 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 (fma.f64 (*.f64 x.re (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x.re (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #s(literal -1 binary64)) x.im) x.im) |
(* x.im (+ 1 (/ x.re x.im))) |
(fma.f64 (/.f64 x.re x.im) x.im x.im) |
(* (pow x.im 2) (+ 1 (* 2 (/ x.re x.im)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x.re x.im) #s(literal 2 binary64) #s(literal 1 binary64)) x.im) x.im) |
(* (pow x.im 2) (+ 1 (+ (* 2 (/ x.re x.im)) (/ (pow x.re 2) (pow x.im 2))))) |
(*.f64 (fma.f64 (/.f64 x.re x.im) (+.f64 #s(literal 2 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64)) (*.f64 x.im x.im)) |
(* (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 x.re (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(/ (+ 1 (* -1 (/ x.re x.im))) x.im) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.re x.im)) x.im) |
(/ (- (+ 1 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im)) x.im) |
(/.f64 (fma.f64 (/.f64 x.re x.im) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) #s(literal 1 binary64)) x.im) |
(/ (- (+ 1 (* -1 (/ (pow x.re 3) (pow x.im 3)))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im))) x.im) |
(/.f64 (fma.f64 (/.f64 x.re x.im) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 3 binary64)))) 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 (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #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))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))) |
(*.f64 (fma.f64 (*.f64 x.re (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #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) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))) |
(*.f64 (fma.f64 (*.f64 x.re (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 (fma.f64 (*.f64 x.re (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #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) |
(* (pow x.im 2) (+ 1 (* -1 (/ (+ (* -2 x.re) (* -1 (/ (pow x.re 2) x.im))) x.im)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re (-.f64 #s(literal -2 binary64) (/.f64 x.re x.im))) x.im)) (*.f64 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 (fma.f64 (*.f64 x.re (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* -1 (/ (- (/ x.re x.im) 1) x.im)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.re x.im)) x.im) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x.re 2) x.im) x.re) x.im)) 1) x.im)) |
(/.f64 (fma.f64 (/.f64 x.re x.im) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) #s(literal 1 binary64)) x.im) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x.re 3) x.im) (pow x.re 2)) x.im)) x.re) x.im)) 1) x.im)) |
(/.f64 (fma.f64 (/.f64 x.re x.im) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 3 binary64)))) x.im) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 278 |
| 0 | 82 | 260 |
| 1 | 330 | 194 |
| 2 | 2619 | 192 |
| 0 | 8223 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) 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) |
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) |
(*.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)))) |
(*.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 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)) |
(*.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 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)) |
(*.f64 (*.f64 x.re x.im) x.re) |
(*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) |
(/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.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)) |
(neg.f64 x.im) |
(/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 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 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im) |
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) x.im)) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im)) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im)))))) |
(/.f64 (neg.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im)))) |
(/.f64 (neg.f64 (*.f64 x.im (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im))) |
(/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im))))) |
(/.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im))) |
(/.f64 (*.f64 x.im (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im (*.f64 x.im (*.f64 (neg.f64 x.im) x.im))) |
(fma.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(fma.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im))) |
(fma.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(fma.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(fma.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im))) |
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re (*.f64 x.im (*.f64 (neg.f64 x.im) x.im))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(fma.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im))) |
(fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)) |
(fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im))) |
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im))) |
(fma.f64 x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(fma.f64 x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im))) |
(fma.f64 x.im (*.f64 (neg.f64 x.im) x.im) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)) |
(fma.f64 x.re (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(fma.f64 x.re (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im))) |
(+.f64 (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)) |
(+.f64 (*.f64 x.im (*.f64 (neg.f64 x.im) x.im)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)) |
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im)))) (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im))) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im)) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im)) (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im)))) |
(/.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (-.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im))))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im)))) (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im)))) (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x.im x.im) (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) |
(fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) |
(fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) |
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) |
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) |
(fma.f64 x.im (neg.f64 x.im) (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) |
(fma.f64 x.re (*.f64 #s(literal 3 binary64) x.re) (*.f64 (neg.f64 x.im) x.im)) |
(-.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im))) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im)))) |
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) (*.f64 x.im x.im)) |
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) (*.f64 (neg.f64 x.im) x.im)) |
(+.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) |
(*.f64 x.re x.re) |
(pow.f64 (*.f64 x.re x.re) #s(literal 1 binary64)) |
(pow.f64 x.re #s(literal 2 binary64)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.re))) |
#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.re) x.re) x.im)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) |
(*.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)) |
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) |
(*.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re)) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)) |
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)) |
(*.f64 x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) |
(*.f64 x.re (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)) |
(*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) |
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) |
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)) |
(*.f64 #s(literal 3 binary64) x.im) |
(*.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)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) |
(*.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)) |
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) |
(*.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re)) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)) |
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)) |
(*.f64 x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) |
(*.f64 x.re (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)) |
(*.f64 #s(literal 3 binary64) x.re) |
(*.f64 x.re #s(literal 3 binary64)) |
(*.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 #s(literal 3 binary64) x.re) x.re) x.im)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) |
(*.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)) |
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) |
(*.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re)) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)) |
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)) |
(*.f64 x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) |
(*.f64 x.re (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 (*.f64 x.re x.re) x.im) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 x.re (*.f64 x.im x.re)) |
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(-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 x.re x.im))) (/.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 x.re x.im)))) |
(-.f64 (/.f64 (*.f64 x.re x.re) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 x.re x.im))) (/.f64 (*.f64 x.im x.im) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 x.re x.im)))) |
(-.f64 (/.f64 (+.f64 x.re #s(literal 0 binary64)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 x.im (+.f64 x.im x.re) (*.f64 x.re x.re))) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 x.im (+.f64 x.im x.re) (*.f64 x.re x.re))) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x.re x.re) (+.f64 x.im x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 (/.f64 (*.f64 x.im x.im) (+.f64 x.im x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re))) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) |
(-.f64 (/.f64 x.re (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 x.im x.re)))) |
(exp.f64 (fma.f64 (log.f64 (+.f64 x.im x.re)) #s(literal -1/2 binary64) (*.f64 (log.f64 (+.f64 x.im x.re)) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x.im x.re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x.im x.re)) #s(literal -1 binary64))) |
(+.f64 (/.f64 x.re (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (neg.f64 (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))) |
Compiled 30 467 to 2 876 computations (90.6% saved)
12 alts after pruning (8 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 693 | 7 | 700 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 0 | 1 |
| Total | 697 | 12 | 709 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 31.3% | (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
| ▶ | 53.3% | (+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.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)) |
| ▶ | 91.6% | (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.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)) |
| ✓ | 90.0% | #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
| 50.5% | #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)) | |
| ▶ | 57.9% | #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
| 57.9% | #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) | |
| ✓ | 55.9% | #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))) |
| ▶ | 50.5% | #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.re) x.re) x.im)) |
| ✓ | 56.0% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) |
| 56.0% | #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 (*.f64 x.re x.im) #s(literal 3 binary64)))) | |
| ✓ | 55.9% | #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)))) |
Compiled 740 to 421 computations (43.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 384 | (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re)) | |
| cost-diff | 6464 | (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) | |
| cost-diff | 128 | (neg.f64 (-.f64 x.re x.im)) | |
| cost-diff | 192 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| cost-diff | 1408 | (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) | |
| cost-diff | 1856 | (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) x.re) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) 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 #s(literal 3 binary64) x.re) x.re) x.im)) | |
| cost-diff | 0 | (*.f64 (neg.f64 x.im) x.im) | |
| cost-diff | 0 | #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) | |
| cost-diff | 0 | #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.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 | 1408 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 555 |
| 0 | 108 | 469 |
| 1 | 237 | 438 |
| 2 | 647 | 427 |
| 3 | 4108 | 405 |
| 4 | 7746 | 405 |
| 0 | 8198 | 402 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)) |
(+.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 (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
(*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) |
#s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 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 #s(literal 3 binary64) x.re) x.re) x.im)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) |
(*.f64 #s(literal 3 binary64) x.re) |
#s(literal 3 binary64) |
x.re |
x.im |
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) (*.f64 (-.f64 x.re x.im) x.im)) |
(/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) |
(*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) |
(neg.f64 (-.f64 x.re x.im)) |
(-.f64 x.re x.im) |
x.re |
x.im |
(+.f64 x.im x.re) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) |
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) |
(neg.f64 x.im) |
(*.f64 x.re x.re) |
(/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)) |
#s(literal -1 binary64) |
(*.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 x.re x.im) |
(*.f64 x.im x.re) |
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) |
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) |
(*.f64 (-.f64 x.re x.im) x.im) |
(-.f64 x.re x.im) |
x.re |
x.im |
#s(literal 1 binary64) |
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) |
#s(literal 0 binary64) |
(pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) |
(*.f64 x.im x.re) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re)) |
(pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) |
(+.f64 x.im x.re) |
#s(literal -1 binary64) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re) |
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) |
(pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.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 #s(literal 3 binary64) x.im) (*.f64 x.re x.re) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) |
(+.f64 x.re x.im) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)) |
(/.f64 #s(literal -1 binary64) (+.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 (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
(*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) |
#s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 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 #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 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) |
(*.f64 #s(literal 3 binary64) x.re) |
#s(literal 3 binary64) |
x.re |
x.im |
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.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 #s(literal 3 binary64) x.im) (*.f64 x.re x.re) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.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 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) |
(+.f64 x.re x.im) |
(*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) |
(*.f64 (-.f64 x.im x.re) (+.f64 x.re x.im)) |
(neg.f64 (-.f64 x.re x.im)) |
(-.f64 x.im x.re) |
(-.f64 x.re x.im) |
x.re |
x.im |
(+.f64 x.im x.re) |
(+.f64 x.re x.im) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) |
(-.f64 x.im x.re) |
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) |
(neg.f64 x.im) |
(*.f64 x.re x.re) |
(/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)) |
(/.f64 #s(literal -1 binary64) (+.f64 x.re x.im)) |
#s(literal -1 binary64) |
(*.f64 (-.f64 x.re x.im) x.im) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(*.f64 (*.f64 #s(literal 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) |
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (fma.f64 (-.f64 x.re x.im) x.im (*.f64 (/.f64 x.re (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (+.f64 x.re x.im)) |
(fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) |
(*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (fma.f64 (-.f64 x.re x.im) x.im (*.f64 (/.f64 x.re (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))) |
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) |
(*.f64 (-.f64 x.re x.im) x.im) |
(*.f64 (-.f64 x.re x.im) x.im) |
(-.f64 x.re x.im) |
x.re |
x.im |
#s(literal 1 binary64) |
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) |
(pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
#s(literal 0 binary64) |
(pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) |
(*.f64 x.im x.re) |
(*.f64 x.re x.im) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re)) |
(*.f64 (*.f64 (/.f64 x.re (+.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) |
(pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) |
(pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)) |
(+.f64 x.im x.re) |
(+.f64 x.re x.im) |
#s(literal -1 binary64) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re) |
(*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.re) |
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (+.f64 x.re x.im)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.1275310849221314 | (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re)) | |
| accuracy | 8.346363976657237 | (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) | |
| accuracy | 9.947467852969647 | (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) | |
| accuracy | 33.26325790692459 | (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) | |
| accuracy | 1.999977980844482 | (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) | |
| accuracy | 5.351519152434322 | (+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.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)) | |
| accuracy | 27.614044180714743 | (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) | |
| accuracy | 27.71202386254513 | (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) x.re) | |
| accuracy | 0.14453125 | (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) | |
| accuracy | 7.125576774748749 | (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) | |
| accuracy | 28.081066107220906 | #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.re) x.re) x.im)) | |
| accuracy | 0 | (neg.f64 x.im) | |
| accuracy | 0 | #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) | |
| accuracy | 3.6324536747803964 | (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) | |
| accuracy | 30.211318724676126 | #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) | |
| accuracy | 0.0859375 | (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im)) | |
| accuracy | 0.09765625 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) | |
| accuracy | 0.17578125 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) | |
| accuracy | 5.351519152434322 | (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.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)) |
| 121.0ms | 256× | 0 | valid |
Compiled 1 083 to 136 computations (87.4% saved)
ival-mult: 46.0ms (50.6% of total)ival-add: 15.0ms (16.5% of total)ival-pow: 12.0ms (13.2% of total)ival-div: 8.0ms (8.8% of total)ival-pow2: 4.0ms (4.4% of total)ival-sub: 3.0ms (3.3% of total)ival-neg: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im)) |
(/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)) |
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
(*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) |
#s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) |
(*.f64 (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 #s(literal 3 binary64) x.re) x.re) x.im)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) |
(*.f64 #s(literal 3 binary64) x.re) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) |
(/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) |
(neg.f64 (-.f64 x.re x.im)) |
(fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) |
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re)) |
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(neg.f64 x.im) |
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.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 (neg.f64 x.im) x.im (*.f64 x.re x.re)) |
| Outputs |
|---|
x.im |
(+ x.im x.re) |
(* 2 (* x.im x.re)) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
(/ -1 x.im) |
(- (/ x.re (pow x.im 2)) (/ 1 x.im)) |
(- (* x.re (+ (* -1 (/ x.re (pow x.im 3))) (/ 1 (pow x.im 2)))) (/ 1 x.im)) |
(- (* x.re (+ (* x.re (- (/ x.re (pow x.im 4)) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2)))) (/ 1 x.im)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(* -1 (pow x.im 2)) |
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) |
(+ (* -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)) |
(* 3 x.re) |
(+ x.im (* -1 x.re)) |
(+ x.im (* x.re (+ 1 (* -1 (* x.re (- (* -1 (/ (+ x.im (* -2 x.im)) (pow x.im 2))) (/ 1 x.im))))))) |
(+ x.im (* x.re (+ 1 (* x.re (+ (* -1 (- (* -1 (/ (+ x.im (* -2 x.im)) (pow x.im 2))) (/ 1 x.im))) (* -1 (/ (* (pow x.re 2) (- (* -1 (/ (+ x.im (* -2 x.im)) (pow x.im 2))) (/ 1 x.im))) (pow x.im 2)))))))) |
(* -1 (* (pow x.im 4) (pow x.re 2))) |
(* (pow x.re 2) (+ (* -1 (pow x.im 4)) (* (pow x.im 3) x.re))) |
(* (pow x.re 2) (+ (* -1 (pow x.im 4)) (* x.re (+ (* 2 (* (pow x.im 2) x.re)) (pow x.im 3))))) |
(* (pow x.re 2) (+ (* -1 (pow x.im 4)) (* x.re (+ (* x.re (+ (* -2 (* x.im x.re)) (* 2 (pow x.im 2)))) (pow x.im 3))))) |
(* 2 (* (pow x.im 2) (pow x.re 4))) |
(* (pow x.re 4) (+ (* -2 (* x.im x.re)) (* 2 (pow x.im 2)))) |
(* (pow x.re 4) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -2 x.im) (* 2 x.re))))) |
(* (pow x.re 4) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -2 x.im) (* x.re (+ 2 (* -2 (/ x.re x.im)))))))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (* -1 x.re))) |
(* (pow x.re 2) (+ x.im (* x.re (- (/ x.re x.im) 1)))) |
(* (pow x.re 2) (+ x.im (* x.re (- (* x.re (+ (* -1 (/ x.re (pow x.im 2))) (/ 1 x.im))) 1)))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2)))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* 2 x.im))) (pow x.im 2))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(* 2 (* x.im (pow x.re 2))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -2 (pow x.im 2)) (* 2 (pow x.im 2))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -2 (pow x.im 2)) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -1 (- (* -1 (/ (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2))) x.im)) (* -1 x.im))) (* 2 x.im))))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -2 (pow x.im 2)) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -1 (* (pow x.re 2) (- (/ 1 x.im) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2))) x.im)) (* -1 x.im)) (pow x.im 2)))))) (+ (* -1 (- (* -1 (/ (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2))) x.im)) (* -1 x.im))) (* 2 x.im)))))))) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
x.re |
(* x.re (+ 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)))) |
(/ -1 x.re) |
(/ (- (/ x.im x.re) 1) x.re) |
(/ (- (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ 1 (* -1 (/ x.im x.re)))) x.re) |
(/ (- (/ (pow x.im 3) (pow x.re 3)) (+ 1 (+ (* -1 (/ x.im x.re)) (/ (pow x.im 2) (pow x.re 2))))) x.re) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2)))) |
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4)))))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* -1 x.re) |
(* x.re (- (/ x.im x.re) 1)) |
(* x.re (+ 1 (* -1 (/ (+ x.im (* -2 x.im)) x.re)))) |
(* x.re (+ 1 (+ (* -1 (/ (+ x.im (* -2 x.im)) x.re)) (* -1 (/ (- (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))) (pow x.im 2)) (pow x.re 2)))))) |
(* x.re (+ 1 (+ (* -1 (/ (+ x.im (* -2 x.im)) x.re)) (+ (* -1 (/ (- (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))) (pow x.im 2)) (pow x.re 2))) (* -1 (/ (- (pow x.im 3) (* -1 (* (pow x.im 2) (+ x.im (* -2 x.im))))) (pow x.re 3))))))) |
(* (pow x.re 3) (+ (* 2 (pow x.im 3)) (pow x.im 3))) |
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* -1 (/ (pow x.im 4) x.re)) (+ (* 2 (pow x.im 3)) (pow x.im 3))))) |
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* -1 (/ (pow x.im 4) x.re)) (+ (* 2 (/ (pow x.im 5) (pow x.re 2))) (+ (* 2 (pow x.im 3)) (pow x.im 3)))))) |
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* -2 (/ (pow x.im 6) (pow x.re 3))) (+ (* -1 (/ (pow x.im 4) x.re)) (+ (* 2 (/ (pow x.im 5) (pow x.re 2))) (+ (* 2 (pow x.im 3)) (pow x.im 3))))))) |
(* 2 (* (pow x.im 3) (pow x.re 3))) |
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (* 2 (pow x.im 3)))) |
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* 2 (/ (pow x.im 5) (pow x.re 2))) (* 2 (pow x.im 3))))) |
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* -2 (/ (pow x.im 6) (pow x.re 3))) (+ (* 2 (/ (pow x.im 5) (pow x.re 2))) (* 2 (pow x.im 3)))))) |
(* (pow x.im 2) x.re) |
(* x.re (+ (* -1 (/ (pow x.im 3) x.re)) (pow x.im 2))) |
(* x.re (- (+ (/ (pow x.im 4) (pow x.re 2)) (pow x.im 2)) (/ (pow x.im 3) x.re))) |
(* x.re (- (+ (* -1 (/ (pow x.im 5) (pow x.re 3))) (pow x.im 2)) (+ (* -1 (/ (pow x.im 4) (pow x.re 2))) (/ (pow x.im 3) x.re)))) |
(/ (* (pow x.re 2) (+ (* 2 (pow x.im 3)) (pow x.im 3))) (pow x.im 2)) |
(* (pow x.re 2) (+ x.im (+ (* -2 (/ (pow x.im 2) x.re)) (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* 2 x.im) (+ (* 2 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re))))))) |
(* (pow x.re 2) (+ x.im (+ (* -2 (/ (pow x.im 2) x.re)) (+ (* -2 (/ (pow x.im 3) (pow x.re 2))) (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (+ (* 2 (/ (pow x.im 2) x.re)) (+ (* 2 (/ (pow x.im 3) (pow x.re 2))) (/ (pow x.im 2) x.re)))))))))) |
(* (pow x.re 2) (+ x.im (+ (* -2 (/ (pow x.im 2) x.re)) (+ (* -2 (/ (pow x.im 3) (pow x.re 2))) (+ (* -2 (/ (pow x.im 4) (pow x.re 3))) (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (+ (* 2 (/ (pow x.im 2) x.re)) (+ (* 2 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ (pow x.im 4) (pow x.re 3))) (/ (pow x.im 2) x.re)))))))))))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ (* -2 x.im) (* 2 x.im))) x.re)) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ (* -2 x.im) (* 2 x.im))) x.re)) (+ (* -1 (/ (- (* x.im (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2)))) (pow x.im 3)) (pow x.re 2))) (* 2 x.im))))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ (* -2 x.im) (* 2 x.im))) x.re)) (+ (* -1 (/ (- (* x.im (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2)))) (pow x.im 3)) (pow x.re 2))) (+ (* -1 (/ (- (* x.im (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))) (* -1 (* (pow x.im 3) (+ (* -2 x.im) (* 2 x.im))))) (pow x.re 3))) (* 2 x.im)))))) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)))) |
(* -1 (/ (+ 1 (* -1 (/ x.im x.re))) x.re)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x.im 2) x.re)) (* -1 x.im)) x.re))) x.re)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x.im 3) x.re)) (* -1 (pow x.im 2))) x.re)) (* -1 x.im)) x.re))) x.re)) |
(* -1 (* x.re (+ 1 (* -1 (/ x.im x.re))))) |
(* -1 (* x.re (- (+ (* -2 (/ x.im x.re)) (/ x.im x.re)) 1))) |
(* -1 (* x.re (- (* -1 (/ (- (+ (* -2 (/ (pow x.im 2) x.re)) (+ (* -1 (+ x.im (* -2 x.im))) (/ (pow x.im 2) x.re))) (* -1 (/ (pow x.im 2) x.re))) x.re)) 1))) |
(* -1 (* x.re (- (* -1 (/ (+ (* -1 (+ x.im (* -2 x.im))) (* -1 (/ (- (+ (* -1 (- (+ (* -2 (pow x.im 2)) (pow x.im 2)) (* -1 (pow x.im 2)))) (/ (pow x.im 3) x.re)) (* -1 (/ (* (pow x.im 2) (+ x.im (* -2 x.im))) x.re))) x.re))) x.re)) 1))) |
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3))))) |
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (pow x.im 4))) x.re)) (* -1 (pow x.im 3)))))) |
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (+ (* -1 (pow x.im 4)) (* 2 (/ (pow x.im 5) x.re)))) x.re)) (* -1 (pow x.im 3)))))) |
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (+ (* -1 (/ (+ (* -2 (pow x.im 5)) (* 2 (/ (pow x.im 6) x.re))) x.re)) (* -1 (pow x.im 4)))) x.re)) (* -1 (pow x.im 3)))))) |
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (* 2 (/ (pow x.im 4) x.re))))) |
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (* -1 (/ (+ (* -2 (pow x.im 4)) (* 2 (/ (pow x.im 5) x.re))) x.re))))) |
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (/ (+ (* -2 (pow x.im 5)) (* 2 (/ (pow x.im 6) x.re))) x.re))) x.re))))) |
(* -1 (* x.re (+ (* -1 (pow x.im 2)) (/ (pow x.im 3) x.re)))) |
(* -1 (* x.re (+ (* -1 (/ (- (/ (pow x.im 4) x.re) (pow x.im 3)) x.re)) (* -1 (pow x.im 2))))) |
(* -1 (* x.re (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x.im 5) x.re) (pow x.im 4)) x.re)) (pow x.im 3)) x.re)) (* -1 (pow x.im 2))))) |
(* -1 (/ (* (pow x.re 2) (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3)))) (pow x.im 2))) |
(* (pow x.re 2) (+ (* -1 (/ (+ (* -2 (pow x.im 2)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (pow x.im 4))) (pow x.im 2))) (* -1 (pow x.im 2)))) x.re)) (* -1 (/ (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3))) (pow x.im 2))))) |
(* (pow x.re 2) (+ (* -1 (/ (+ (* -2 (pow x.im 2)) (+ (* -1 (/ (+ (* -2 (pow x.im 3)) (+ (* -1 (pow x.im 3)) (* 2 (pow x.im 3)))) x.re)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (pow x.im 4))) (pow x.im 2))) (* -1 (pow x.im 2))))) x.re)) (* -1 (/ (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3))) (pow x.im 2))))) |
(* (pow x.re 2) (+ (* -1 (/ (+ (* -2 (pow x.im 2)) (+ (* -1 (/ (+ (* -2 (pow x.im 3)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* 2 (pow x.im 4))) x.re)) (+ (* -1 (pow x.im 3)) (* 2 (pow x.im 3))))) x.re)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (pow x.im 4))) (pow x.im 2))) (* -1 (pow x.im 2))))) x.re)) (* -1 (/ (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3))) (pow x.im 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 (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (* -1 (pow x.im 3))) x.re)) (* x.im (+ (* -2 x.im) (* 2 x.im)))) x.re)) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* x.im (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))) (* -1 (* (pow x.im 3) (+ (* -2 x.im) (* 2 x.im))))) x.re)) (* x.im (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2))))) (* -1 (pow x.im 3))) x.re)) (* x.im (+ (* -2 x.im) (* 2 x.im)))) x.re)) (* 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))) |
(- (/ x.im (pow x.re 2)) (/ 1 x.re)) |
(- (* x.im (+ (* -1 (/ x.im (pow x.re 3))) (/ 1 (pow x.re 2)))) (/ 1 x.re)) |
(- (* x.im (+ (* x.im (- (/ x.im (pow x.re 4)) (/ 1 (pow x.re 3)))) (/ 1 (pow x.re 2)))) (/ 1 x.re)) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(- x.im x.re) |
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (pow x.re 3))) |
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (+ (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))) (pow x.re 3)))) |
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (+ (* x.im (+ (* -2 (pow x.re 2)) (+ (* -1 (pow x.re 2)) (* 2 (* x.im x.re))))) (pow x.re 3)))) |
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (+ (* x.im (+ (* -2 (pow x.re 2)) (+ (* -1 (pow x.re 2)) (* x.im (+ (* -2 x.im) (* 2 x.re)))))) (pow x.re 3)))) |
(* (pow x.im 3) (+ (* -2 (* x.im (pow x.re 2))) (* 2 (pow x.re 3)))) |
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (* x.im (+ (* -2 (pow x.re 2)) (* 2 (* x.im x.re)))))) |
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (* x.im (+ (* -2 (pow x.re 2)) (* x.im (+ (* -2 x.im) (* 2 x.re))))))) |
(* (pow x.im 2) (+ x.re (* -1 x.im))) |
(* (pow x.im 2) (+ x.re (* x.im (- (/ x.im x.re) 1)))) |
(* (pow x.im 2) (+ x.re (* x.im (- (* x.im (+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.re))) 1)))) |
(/ (* x.im (+ (* 2 (pow x.re 3)) (pow x.re 3))) x.re) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -2 x.re) (+ (* -1 x.re) (* 2 x.re))))) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -2 x.re) (+ (* -1 x.im) (+ (* -1 x.re) (* 2 x.re)))))) (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)))) |
(* -1 x.im) |
(* x.im (+ (* -1 (* x.im (+ (* -2 x.re) (* 2 x.re)))) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ (* -1 x.im) (* -1 (+ (* -2 x.re) (* 2 x.re))))) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ (* -1 (+ (* -2 x.re) (* 2 x.re))) (* x.im (- (* -1 (/ (* x.im (+ (* -2 x.re) (* 2 x.re))) (pow x.re 2))) 1)))) (pow x.re 2)))) |
(* x.im (+ 1 (/ x.re x.im))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(/ (- (/ x.re x.im) 1) x.im) |
(/ (- (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ 1 (* -1 (/ x.re x.im)))) x.im) |
(/ (- (/ (pow x.re 3) (pow x.im 3)) (+ 1 (+ (* -1 (/ x.re x.im)) (/ (pow x.re 2) (pow x.im 2))))) 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) (- (+ (* -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 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 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)) (/ (pow x.re 6) (pow x.im 6)))))))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* x.im (+ 1 (* -1 (/ x.re x.im)))) |
(* x.im (+ 1 (+ (* -1 (/ x.re x.im)) (* 2 (/ x.re x.im))))) |
(* x.im (+ 1 (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (pow x.re 2)) (pow x.im 2))) (* 2 (/ x.re x.im)))))) |
(* x.im (+ 1 (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (pow x.re 2)) (pow x.im 2))) (+ (* -1 (/ (- (pow x.re 3) (* (pow x.re 2) (+ (* -1 x.re) (* 2 x.re)))) (pow x.im 3))) (* 2 (/ x.re x.im))))))) |
(* (pow x.im 4) (+ (* -1 (pow x.re 2)) (/ (pow x.re 3) x.im))) |
(* (pow x.im 4) (+ (* -1 (pow x.re 2)) (+ (* 2 (/ (pow x.re 4) (pow x.im 2))) (/ (pow x.re 3) x.im)))) |
(* (pow x.im 4) (+ (* -2 (/ (pow x.re 5) (pow x.im 3))) (+ (* -1 (pow x.re 2)) (+ (* 2 (/ (pow x.re 4) (pow x.im 2))) (/ (pow x.re 3) x.im))))) |
(* (pow x.im 2) (+ (* -2 (/ (pow x.re 5) x.im)) (* 2 (pow x.re 4)))) |
(* (pow x.im 2) (+ (* -2 (/ (pow x.re 5) x.im)) (+ (* 2 (/ (pow x.re 6) (pow x.im 2))) (* 2 (pow x.re 4))))) |
(* (pow x.im 2) (+ (* -2 (/ (pow x.re 5) x.im)) (+ (* -2 (/ (pow x.re 7) (pow x.im 3))) (+ (* 2 (/ (pow x.re 6) (pow x.im 2))) (* 2 (pow x.re 4)))))) |
(* x.im (+ (* -1 (/ (pow x.re 3) x.im)) (pow x.re 2))) |
(* x.im (- (+ (/ (pow x.re 4) (pow x.im 2)) (pow x.re 2)) (/ (pow x.re 3) x.im))) |
(* x.im (- (+ (* -1 (/ (pow x.re 5) (pow x.im 3))) (pow x.re 2)) (+ (* -1 (/ (pow x.re 4) (pow x.im 2))) (/ (pow x.re 3) x.im)))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* (pow x.im 3) (- (+ (* -2 (/ (pow x.re 3) (pow x.im 3))) (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (* 2 (/ (pow x.re 3) (pow x.im 3))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))))) 1)) |
(* (pow x.im 3) (- (+ (* -2 (/ x.re x.im)) (* 2 (/ x.re x.im))) 1)) |
(* (pow x.im 3) (- (+ (* -2 (/ x.re x.im)) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (* 4 (pow x.re 2)))) (* -1 (pow x.re 2))) (pow x.im 2))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2)))))) 1)) |
(* (pow x.im 3) (- (+ (* -2 (/ x.re x.im)) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (* 4 (pow x.re 2)))) (* -1 (pow x.re 2))) (pow x.im 2))) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3)))) (* (pow x.re 2) (+ (* -2 x.re) (* 2 x.re)))) (pow x.im 3))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2))))))) 1)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 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))) (/ (pow x.re 2) x.im)) x.im))))) |
(* -1 (/ (+ 1 (* -1 (/ x.re x.im))) x.im)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x.re 2) x.im)) (* -1 x.re)) x.im))) x.im)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x.re 3) x.im)) (* -1 (pow x.re 2))) x.im)) (* -1 x.re)) 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 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* x.im (- (/ x.re x.im) 1))) |
(* -1 (* x.im (- (+ (* -2 (/ x.re x.im)) (/ x.re x.im)) 1))) |
(* -1 (* x.im (- (* -1 (/ (+ (* -1 (+ x.re (* -2 x.re))) (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (pow x.re 2)) x.im))) x.im)) 1))) |
(* -1 (* x.im (- (* -1 (/ (+ (* -1 (+ x.re (* -2 x.re))) (* -1 (/ (- (+ (* -1 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (* -1 (/ (- (* -1 (pow x.re 3)) (* (pow x.re 2) (+ x.re (* -2 x.re)))) x.im))) (pow x.re 2)) x.im))) x.im)) 1))) |
(* (pow x.im 4) (+ (* -1 (/ (+ (* -2 (/ (pow x.re 4) x.im)) (* -1 (pow x.re 3))) x.im)) (* -1 (pow x.re 2)))) |
(* (pow x.im 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x.re 5) x.im)) (* 2 (pow x.re 4))) x.im)) (* -1 (pow x.re 3))) x.im)) (* -1 (pow x.re 2)))) |
(* (pow x.im 2) (+ (* -1 (/ (+ (* -2 (/ (pow x.re 6) x.im)) (* 2 (pow x.re 5))) x.im)) (* 2 (pow x.re 4)))) |
(* (pow x.im 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x.re 7) x.im)) (* 2 (pow x.re 6))) x.im)) (* 2 (pow x.re 5))) x.im)) (* 2 (pow x.re 4)))) |
(* -1 (* x.im (+ (* -1 (pow x.re 2)) (/ (pow x.re 3) x.im)))) |
(* -1 (* x.im (+ (* -1 (/ (- (/ (pow x.re 4) x.im) (pow x.re 3)) x.im)) (* -1 (pow x.re 2))))) |
(* -1 (* x.im (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x.re 5) x.im) (pow x.re 4)) x.im)) (pow x.re 3)) x.im)) (* -1 (pow x.re 2))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im))))) |
(* -1 (* (pow x.im 3) (+ 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 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -2 (pow x.re 2)) (+ (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) x.im)) (* -1 (pow x.re 2)))) x.im)))) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -2 x.re) (* 2 x.re)) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -2 x.re) (+ (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (- (* -1 (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2)))) (pow x.re 2)))) x.im)) (* 2 x.re))) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -2 x.re) (+ (* -1 (/ (- (+ (* -2 (pow x.re 2)) (+ (* -1 (- (* -1 (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2)))) (pow x.re 2))) (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) x.im)))) (/ (* (pow x.re 2) (+ (* -2 x.re) (* 2 x.re))) x.im)) x.im)) (* 2 x.re))) x.im))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x.re | @ | inf | ((/ -1 (/ -1 (+ x.im x.re))) (+ (* x.re x.im) (* x.im x.re)) (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (/ -1 (+ x.im x.re)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re))) (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re)))) (neg (- x.re x.im)) (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re)) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2))) (/ (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2)))) (+ (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (neg x.im) (+ (* (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ 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) (* x.re x.re))) |
| 10.0ms | x.re | @ | 0 | ((/ -1 (/ -1 (+ x.im x.re))) (+ (* x.re x.im) (* x.im x.re)) (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (/ -1 (+ x.im x.re)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re))) (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re)))) (neg (- x.re x.im)) (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re)) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2))) (/ (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2)))) (+ (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (neg x.im) (+ (* (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ 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) (* x.re x.re))) |
| 8.0ms | x.im | @ | 0 | ((/ -1 (/ -1 (+ x.im x.re))) (+ (* x.re x.im) (* x.im x.re)) (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (/ -1 (+ x.im x.re)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re))) (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re)))) (neg (- x.re x.im)) (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re)) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2))) (/ (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2)))) (+ (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (neg x.im) (+ (* (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ 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) (* x.re x.re))) |
| 7.0ms | x.im | @ | inf | ((/ -1 (/ -1 (+ x.im x.re))) (+ (* x.re x.im) (* x.im x.re)) (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (/ -1 (+ x.im x.re)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re))) (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re)))) (neg (- x.re x.im)) (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re)) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2))) (/ (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2)))) (+ (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (neg x.im) (+ (* (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ 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) (* x.re x.re))) |
| 7.0ms | x.re | @ | -inf | ((/ -1 (/ -1 (+ x.im x.re))) (+ (* x.re x.im) (* x.im x.re)) (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (/ -1 (+ x.im x.re)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re))) (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re)))) (neg (- x.re x.im)) (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re)) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2))) (/ (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2)))) (+ (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (neg x.im) (+ (* (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ 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) (* x.re x.re))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1028 | 4002 |
| 1 | 3738 | 3507 |
| 0 | 8414 | 3335 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x.im |
(+ x.im x.re) |
(* 2 (* x.im x.re)) |
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))) |
(/ -1 x.im) |
(- (/ x.re (pow x.im 2)) (/ 1 x.im)) |
(- (* x.re (+ (* -1 (/ x.re (pow x.im 3))) (/ 1 (pow x.im 2)))) (/ 1 x.im)) |
(- (* x.re (+ (* x.re (- (/ x.re (pow x.im 4)) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2)))) (/ 1 x.im)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(* -1 (pow x.im 2)) |
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) |
(+ (* -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)) |
(* 3 x.re) |
(+ x.im (* -1 x.re)) |
(+ x.im (* x.re (+ 1 (* -1 (* x.re (- (* -1 (/ (+ x.im (* -2 x.im)) (pow x.im 2))) (/ 1 x.im))))))) |
(+ x.im (* x.re (+ 1 (* x.re (+ (* -1 (- (* -1 (/ (+ x.im (* -2 x.im)) (pow x.im 2))) (/ 1 x.im))) (* -1 (/ (* (pow x.re 2) (- (* -1 (/ (+ x.im (* -2 x.im)) (pow x.im 2))) (/ 1 x.im))) (pow x.im 2)))))))) |
(* -1 (* (pow x.im 4) (pow x.re 2))) |
(* (pow x.re 2) (+ (* -1 (pow x.im 4)) (* (pow x.im 3) x.re))) |
(* (pow x.re 2) (+ (* -1 (pow x.im 4)) (* x.re (+ (* 2 (* (pow x.im 2) x.re)) (pow x.im 3))))) |
(* (pow x.re 2) (+ (* -1 (pow x.im 4)) (* x.re (+ (* x.re (+ (* -2 (* x.im x.re)) (* 2 (pow x.im 2)))) (pow x.im 3))))) |
(* 2 (* (pow x.im 2) (pow x.re 4))) |
(* (pow x.re 4) (+ (* -2 (* x.im x.re)) (* 2 (pow x.im 2)))) |
(* (pow x.re 4) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -2 x.im) (* 2 x.re))))) |
(* (pow x.re 4) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -2 x.im) (* x.re (+ 2 (* -2 (/ x.re x.im)))))))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (* -1 x.re))) |
(* (pow x.re 2) (+ x.im (* x.re (- (/ x.re x.im) 1)))) |
(* (pow x.re 2) (+ x.im (* x.re (- (* x.re (+ (* -1 (/ x.re (pow x.im 2))) (/ 1 x.im))) 1)))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2)))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* 2 x.im))) (pow x.im 2))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) |
(* 2 (* x.im (pow x.re 2))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -2 (pow x.im 2)) (* 2 (pow x.im 2))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -2 (pow x.im 2)) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -1 (- (* -1 (/ (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2))) x.im)) (* -1 x.im))) (* 2 x.im))))))) |
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -2 (pow x.im 2)) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -1 (* (pow x.re 2) (- (/ 1 x.im) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2))) x.im)) (* -1 x.im)) (pow x.im 2)))))) (+ (* -1 (- (* -1 (/ (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2))) x.im)) (* -1 x.im))) (* 2 x.im)))))))) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
x.re |
(* x.re (+ 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)))) |
(/ -1 x.re) |
(/ (- (/ x.im x.re) 1) x.re) |
(/ (- (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ 1 (* -1 (/ x.im x.re)))) x.re) |
(/ (- (/ (pow x.im 3) (pow x.re 3)) (+ 1 (+ (* -1 (/ x.im x.re)) (/ (pow x.im 2) (pow x.re 2))))) x.re) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2)))) |
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4)))))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* -1 x.re) |
(* x.re (- (/ x.im x.re) 1)) |
(* x.re (+ 1 (* -1 (/ (+ x.im (* -2 x.im)) x.re)))) |
(* x.re (+ 1 (+ (* -1 (/ (+ x.im (* -2 x.im)) x.re)) (* -1 (/ (- (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))) (pow x.im 2)) (pow x.re 2)))))) |
(* x.re (+ 1 (+ (* -1 (/ (+ x.im (* -2 x.im)) x.re)) (+ (* -1 (/ (- (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))) (pow x.im 2)) (pow x.re 2))) (* -1 (/ (- (pow x.im 3) (* -1 (* (pow x.im 2) (+ x.im (* -2 x.im))))) (pow x.re 3))))))) |
(* (pow x.re 3) (+ (* 2 (pow x.im 3)) (pow x.im 3))) |
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* -1 (/ (pow x.im 4) x.re)) (+ (* 2 (pow x.im 3)) (pow x.im 3))))) |
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* -1 (/ (pow x.im 4) x.re)) (+ (* 2 (/ (pow x.im 5) (pow x.re 2))) (+ (* 2 (pow x.im 3)) (pow x.im 3)))))) |
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* -2 (/ (pow x.im 6) (pow x.re 3))) (+ (* -1 (/ (pow x.im 4) x.re)) (+ (* 2 (/ (pow x.im 5) (pow x.re 2))) (+ (* 2 (pow x.im 3)) (pow x.im 3))))))) |
(* 2 (* (pow x.im 3) (pow x.re 3))) |
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (* 2 (pow x.im 3)))) |
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* 2 (/ (pow x.im 5) (pow x.re 2))) (* 2 (pow x.im 3))))) |
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* -2 (/ (pow x.im 6) (pow x.re 3))) (+ (* 2 (/ (pow x.im 5) (pow x.re 2))) (* 2 (pow x.im 3)))))) |
(* (pow x.im 2) x.re) |
(* x.re (+ (* -1 (/ (pow x.im 3) x.re)) (pow x.im 2))) |
(* x.re (- (+ (/ (pow x.im 4) (pow x.re 2)) (pow x.im 2)) (/ (pow x.im 3) x.re))) |
(* x.re (- (+ (* -1 (/ (pow x.im 5) (pow x.re 3))) (pow x.im 2)) (+ (* -1 (/ (pow x.im 4) (pow x.re 2))) (/ (pow x.im 3) x.re)))) |
(/ (* (pow x.re 2) (+ (* 2 (pow x.im 3)) (pow x.im 3))) (pow x.im 2)) |
(* (pow x.re 2) (+ x.im (+ (* -2 (/ (pow x.im 2) x.re)) (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* 2 x.im) (+ (* 2 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re))))))) |
(* (pow x.re 2) (+ x.im (+ (* -2 (/ (pow x.im 2) x.re)) (+ (* -2 (/ (pow x.im 3) (pow x.re 2))) (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (+ (* 2 (/ (pow x.im 2) x.re)) (+ (* 2 (/ (pow x.im 3) (pow x.re 2))) (/ (pow x.im 2) x.re)))))))))) |
(* (pow x.re 2) (+ x.im (+ (* -2 (/ (pow x.im 2) x.re)) (+ (* -2 (/ (pow x.im 3) (pow x.re 2))) (+ (* -2 (/ (pow x.im 4) (pow x.re 3))) (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (+ (* 2 (/ (pow x.im 2) x.re)) (+ (* 2 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ (pow x.im 4) (pow x.re 3))) (/ (pow x.im 2) x.re)))))))))))) |
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ (* -2 x.im) (* 2 x.im))) x.re)) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ (* -2 x.im) (* 2 x.im))) x.re)) (+ (* -1 (/ (- (* x.im (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2)))) (pow x.im 3)) (pow x.re 2))) (* 2 x.im))))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ (* -2 x.im) (* 2 x.im))) x.re)) (+ (* -1 (/ (- (* x.im (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2)))) (pow x.im 3)) (pow x.re 2))) (+ (* -1 (/ (- (* x.im (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))) (* -1 (* (pow x.im 3) (+ (* -2 x.im) (* 2 x.im))))) (pow x.re 3))) (* 2 x.im)))))) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)))) |
(* -1 (/ (+ 1 (* -1 (/ x.im x.re))) x.re)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x.im 2) x.re)) (* -1 x.im)) x.re))) x.re)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x.im 3) x.re)) (* -1 (pow x.im 2))) x.re)) (* -1 x.im)) x.re))) x.re)) |
(* -1 (* x.re (+ 1 (* -1 (/ x.im x.re))))) |
(* -1 (* x.re (- (+ (* -2 (/ x.im x.re)) (/ x.im x.re)) 1))) |
(* -1 (* x.re (- (* -1 (/ (- (+ (* -2 (/ (pow x.im 2) x.re)) (+ (* -1 (+ x.im (* -2 x.im))) (/ (pow x.im 2) x.re))) (* -1 (/ (pow x.im 2) x.re))) x.re)) 1))) |
(* -1 (* x.re (- (* -1 (/ (+ (* -1 (+ x.im (* -2 x.im))) (* -1 (/ (- (+ (* -1 (- (+ (* -2 (pow x.im 2)) (pow x.im 2)) (* -1 (pow x.im 2)))) (/ (pow x.im 3) x.re)) (* -1 (/ (* (pow x.im 2) (+ x.im (* -2 x.im))) x.re))) x.re))) x.re)) 1))) |
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3))))) |
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (pow x.im 4))) x.re)) (* -1 (pow x.im 3)))))) |
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (+ (* -1 (pow x.im 4)) (* 2 (/ (pow x.im 5) x.re)))) x.re)) (* -1 (pow x.im 3)))))) |
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (+ (* -1 (/ (+ (* -2 (pow x.im 5)) (* 2 (/ (pow x.im 6) x.re))) x.re)) (* -1 (pow x.im 4)))) x.re)) (* -1 (pow x.im 3)))))) |
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (* 2 (/ (pow x.im 4) x.re))))) |
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (* -1 (/ (+ (* -2 (pow x.im 4)) (* 2 (/ (pow x.im 5) x.re))) x.re))))) |
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (/ (+ (* -2 (pow x.im 5)) (* 2 (/ (pow x.im 6) x.re))) x.re))) x.re))))) |
(* -1 (* x.re (+ (* -1 (pow x.im 2)) (/ (pow x.im 3) x.re)))) |
(* -1 (* x.re (+ (* -1 (/ (- (/ (pow x.im 4) x.re) (pow x.im 3)) x.re)) (* -1 (pow x.im 2))))) |
(* -1 (* x.re (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x.im 5) x.re) (pow x.im 4)) x.re)) (pow x.im 3)) x.re)) (* -1 (pow x.im 2))))) |
(* -1 (/ (* (pow x.re 2) (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3)))) (pow x.im 2))) |
(* (pow x.re 2) (+ (* -1 (/ (+ (* -2 (pow x.im 2)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (pow x.im 4))) (pow x.im 2))) (* -1 (pow x.im 2)))) x.re)) (* -1 (/ (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3))) (pow x.im 2))))) |
(* (pow x.re 2) (+ (* -1 (/ (+ (* -2 (pow x.im 2)) (+ (* -1 (/ (+ (* -2 (pow x.im 3)) (+ (* -1 (pow x.im 3)) (* 2 (pow x.im 3)))) x.re)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (pow x.im 4))) (pow x.im 2))) (* -1 (pow x.im 2))))) x.re)) (* -1 (/ (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3))) (pow x.im 2))))) |
(* (pow x.re 2) (+ (* -1 (/ (+ (* -2 (pow x.im 2)) (+ (* -1 (/ (+ (* -2 (pow x.im 3)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* 2 (pow x.im 4))) x.re)) (+ (* -1 (pow x.im 3)) (* 2 (pow x.im 3))))) x.re)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (pow x.im 4))) (pow x.im 2))) (* -1 (pow x.im 2))))) x.re)) (* -1 (/ (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3))) (pow x.im 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 (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (* -1 (pow x.im 3))) x.re)) (* x.im (+ (* -2 x.im) (* 2 x.im)))) x.re)) (* 2 x.im)))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* x.im (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))) (* -1 (* (pow x.im 3) (+ (* -2 x.im) (* 2 x.im))))) x.re)) (* x.im (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2))))) (* -1 (pow x.im 3))) x.re)) (* x.im (+ (* -2 x.im) (* 2 x.im)))) x.re)) (* 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))) |
(- (/ x.im (pow x.re 2)) (/ 1 x.re)) |
(- (* x.im (+ (* -1 (/ x.im (pow x.re 3))) (/ 1 (pow x.re 2)))) (/ 1 x.re)) |
(- (* x.im (+ (* x.im (- (/ x.im (pow x.re 4)) (/ 1 (pow x.re 3)))) (/ 1 (pow x.re 2)))) (/ 1 x.re)) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(- x.im x.re) |
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (pow x.re 3))) |
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (+ (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))) (pow x.re 3)))) |
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (+ (* x.im (+ (* -2 (pow x.re 2)) (+ (* -1 (pow x.re 2)) (* 2 (* x.im x.re))))) (pow x.re 3)))) |
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (+ (* x.im (+ (* -2 (pow x.re 2)) (+ (* -1 (pow x.re 2)) (* x.im (+ (* -2 x.im) (* 2 x.re)))))) (pow x.re 3)))) |
(* (pow x.im 3) (+ (* -2 (* x.im (pow x.re 2))) (* 2 (pow x.re 3)))) |
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (* x.im (+ (* -2 (pow x.re 2)) (* 2 (* x.im x.re)))))) |
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (* x.im (+ (* -2 (pow x.re 2)) (* x.im (+ (* -2 x.im) (* 2 x.re))))))) |
(* (pow x.im 2) (+ x.re (* -1 x.im))) |
(* (pow x.im 2) (+ x.re (* x.im (- (/ x.im x.re) 1)))) |
(* (pow x.im 2) (+ x.re (* x.im (- (* x.im (+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.re))) 1)))) |
(/ (* x.im (+ (* 2 (pow x.re 3)) (pow x.re 3))) x.re) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -2 x.re) (+ (* -1 x.re) (* 2 x.re))))) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -2 x.re) (+ (* -1 x.im) (+ (* -1 x.re) (* 2 x.re)))))) (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)))) |
(* -1 x.im) |
(* x.im (+ (* -1 (* x.im (+ (* -2 x.re) (* 2 x.re)))) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ (* -1 x.im) (* -1 (+ (* -2 x.re) (* 2 x.re))))) (pow x.re 2)))) |
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ (* -1 (+ (* -2 x.re) (* 2 x.re))) (* x.im (- (* -1 (/ (* x.im (+ (* -2 x.re) (* 2 x.re))) (pow x.re 2))) 1)))) (pow x.re 2)))) |
(* x.im (+ 1 (/ x.re x.im))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) |
(/ (- (/ x.re x.im) 1) x.im) |
(/ (- (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ 1 (* -1 (/ x.re x.im)))) x.im) |
(/ (- (/ (pow x.re 3) (pow x.im 3)) (+ 1 (+ (* -1 (/ x.re x.im)) (/ (pow x.re 2) (pow x.im 2))))) 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) (- (+ (* -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 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 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)) (/ (pow x.re 6) (pow x.im 6)))))))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* x.im (+ 1 (* -1 (/ x.re x.im)))) |
(* x.im (+ 1 (+ (* -1 (/ x.re x.im)) (* 2 (/ x.re x.im))))) |
(* x.im (+ 1 (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (pow x.re 2)) (pow x.im 2))) (* 2 (/ x.re x.im)))))) |
(* x.im (+ 1 (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (pow x.re 2)) (pow x.im 2))) (+ (* -1 (/ (- (pow x.re 3) (* (pow x.re 2) (+ (* -1 x.re) (* 2 x.re)))) (pow x.im 3))) (* 2 (/ x.re x.im))))))) |
(* (pow x.im 4) (+ (* -1 (pow x.re 2)) (/ (pow x.re 3) x.im))) |
(* (pow x.im 4) (+ (* -1 (pow x.re 2)) (+ (* 2 (/ (pow x.re 4) (pow x.im 2))) (/ (pow x.re 3) x.im)))) |
(* (pow x.im 4) (+ (* -2 (/ (pow x.re 5) (pow x.im 3))) (+ (* -1 (pow x.re 2)) (+ (* 2 (/ (pow x.re 4) (pow x.im 2))) (/ (pow x.re 3) x.im))))) |
(* (pow x.im 2) (+ (* -2 (/ (pow x.re 5) x.im)) (* 2 (pow x.re 4)))) |
(* (pow x.im 2) (+ (* -2 (/ (pow x.re 5) x.im)) (+ (* 2 (/ (pow x.re 6) (pow x.im 2))) (* 2 (pow x.re 4))))) |
(* (pow x.im 2) (+ (* -2 (/ (pow x.re 5) x.im)) (+ (* -2 (/ (pow x.re 7) (pow x.im 3))) (+ (* 2 (/ (pow x.re 6) (pow x.im 2))) (* 2 (pow x.re 4)))))) |
(* x.im (+ (* -1 (/ (pow x.re 3) x.im)) (pow x.re 2))) |
(* x.im (- (+ (/ (pow x.re 4) (pow x.im 2)) (pow x.re 2)) (/ (pow x.re 3) x.im))) |
(* x.im (- (+ (* -1 (/ (pow x.re 5) (pow x.im 3))) (pow x.re 2)) (+ (* -1 (/ (pow x.re 4) (pow x.im 2))) (/ (pow x.re 3) x.im)))) |
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) |
(* (pow x.im 3) (- (+ (* -2 (/ (pow x.re 3) (pow x.im 3))) (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (* 2 (/ (pow x.re 3) (pow x.im 3))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))))) 1)) |
(* (pow x.im 3) (- (+ (* -2 (/ x.re x.im)) (* 2 (/ x.re x.im))) 1)) |
(* (pow x.im 3) (- (+ (* -2 (/ x.re x.im)) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (* 4 (pow x.re 2)))) (* -1 (pow x.re 2))) (pow x.im 2))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2)))))) 1)) |
(* (pow x.im 3) (- (+ (* -2 (/ x.re x.im)) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (* 4 (pow x.re 2)))) (* -1 (pow x.re 2))) (pow x.im 2))) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3)))) (* (pow x.re 2) (+ (* -2 x.re) (* 2 x.re)))) (pow x.im 3))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2))))))) 1)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 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))) (/ (pow x.re 2) x.im)) x.im))))) |
(* -1 (/ (+ 1 (* -1 (/ x.re x.im))) x.im)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x.re 2) x.im)) (* -1 x.re)) x.im))) x.im)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x.re 3) x.im)) (* -1 (pow x.re 2))) x.im)) (* -1 x.re)) 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 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* x.im (- (/ x.re x.im) 1))) |
(* -1 (* x.im (- (+ (* -2 (/ x.re x.im)) (/ x.re x.im)) 1))) |
(* -1 (* x.im (- (* -1 (/ (+ (* -1 (+ x.re (* -2 x.re))) (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (pow x.re 2)) x.im))) x.im)) 1))) |
(* -1 (* x.im (- (* -1 (/ (+ (* -1 (+ x.re (* -2 x.re))) (* -1 (/ (- (+ (* -1 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (* -1 (/ (- (* -1 (pow x.re 3)) (* (pow x.re 2) (+ x.re (* -2 x.re)))) x.im))) (pow x.re 2)) x.im))) x.im)) 1))) |
(* (pow x.im 4) (+ (* -1 (/ (+ (* -2 (/ (pow x.re 4) x.im)) (* -1 (pow x.re 3))) x.im)) (* -1 (pow x.re 2)))) |
(* (pow x.im 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x.re 5) x.im)) (* 2 (pow x.re 4))) x.im)) (* -1 (pow x.re 3))) x.im)) (* -1 (pow x.re 2)))) |
(* (pow x.im 2) (+ (* -1 (/ (+ (* -2 (/ (pow x.re 6) x.im)) (* 2 (pow x.re 5))) x.im)) (* 2 (pow x.re 4)))) |
(* (pow x.im 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x.re 7) x.im)) (* 2 (pow x.re 6))) x.im)) (* 2 (pow x.re 5))) x.im)) (* 2 (pow x.re 4)))) |
(* -1 (* x.im (+ (* -1 (pow x.re 2)) (/ (pow x.re 3) x.im)))) |
(* -1 (* x.im (+ (* -1 (/ (- (/ (pow x.re 4) x.im) (pow x.re 3)) x.im)) (* -1 (pow x.re 2))))) |
(* -1 (* x.im (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x.re 5) x.im) (pow x.re 4)) x.im)) (pow x.re 3)) x.im)) (* -1 (pow x.re 2))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im))))) |
(* -1 (* (pow x.im 3) (+ 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 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -2 (pow x.re 2)) (+ (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) x.im)) (* -1 (pow x.re 2)))) x.im)))) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -2 x.re) (* 2 x.re)) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -2 x.re) (+ (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (- (* -1 (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2)))) (pow x.re 2)))) x.im)) (* 2 x.re))) x.im))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -2 x.re) (+ (* -1 (/ (- (+ (* -2 (pow x.re 2)) (+ (* -1 (- (* -1 (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2)))) (pow x.re 2))) (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) x.im)))) (/ (* (pow x.re 2) (+ (* -2 x.re) (* 2 x.re))) x.im)) x.im)) (* 2 x.re))) x.im))))) |
| Outputs |
|---|
x.im |
(+ x.im x.re) |
(+.f64 x.re x.im) |
(* 2 (* x.im x.re)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) |
(* -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.re) (* x.im (+ x.im (* -1 x.im)))))) |
(fma.f64 (fma.f64 x.re x.im #s(literal 0 binary64)) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(/ -1 x.im) |
(/.f64 #s(literal -1 binary64) x.im) |
(- (/ x.re (pow x.im 2)) (/ 1 x.im)) |
(-.f64 (/.f64 x.re (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) x.im)) |
(- (* x.re (+ (* -1 (/ x.re (pow x.im 3))) (/ 1 (pow x.im 2)))) (/ 1 x.im)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64)))) x.re (/.f64 #s(literal -1 binary64) x.im)) |
(- (* x.re (+ (* x.re (- (/ x.re (pow x.im 4)) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2)))) (/ 1 x.im)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x.re (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 3 binary64)))) x.re (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))) x.re (/.f64 #s(literal -1 binary64) x.im)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(* -1 (pow x.im 2)) |
(*.f64 (neg.f64 x.im) x.im) |
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) |
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(* 3 (pow x.re 2)) |
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) |
(* 3 x.re) |
(*.f64 #s(literal 3 binary64) x.re) |
(+ x.im (* -1 x.re)) |
(-.f64 x.im x.re) |
(+ x.im (* x.re (+ 1 (* -1 (* x.re (- (* -1 (/ (+ x.im (* -2 x.im)) (pow x.im 2))) (/ 1 x.im))))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x.im (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) x.im)) (neg.f64 x.re) #s(literal 1 binary64)) x.re x.im) |
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(* -1 (* (pow x.im 4) (pow x.re 2))) |
(*.f64 (*.f64 (neg.f64 x.re) x.re) (pow.f64 x.im #s(literal 4 binary64))) |
(* (pow x.re 2) (+ (* -1 (pow x.im 4)) (* (pow x.im 3) x.re))) |
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x.re |
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(/ -1 x.re) |
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(/.f64 (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) |
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(* (pow x.re 2) (+ x.im (* 2 x.im))) |
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(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* -2 (/ (pow x.im 6) (pow x.re 3))) (+ (* -1 (/ (pow x.im 4) x.re)) (+ (* 2 (/ (pow x.im 5) (pow x.re 2))) (+ (* 2 (pow x.im 3)) (pow x.im 3))))))) |
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(* 2 (* (pow x.im 3) (pow x.re 3))) |
(*.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
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(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* 2 (/ (pow x.im 5) (pow x.re 2))) (* 2 (pow x.im 3))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) x.re) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (pow.f64 x.im #s(literal 5 binary64)) (*.f64 x.re x.re)) (pow.f64 x.im #s(literal 3 binary64))))) (pow.f64 x.re #s(literal 3 binary64))) |
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* -2 (/ (pow x.im 6) (pow x.re 3))) (+ (* 2 (/ (pow x.im 5) (pow x.re 2))) (* 2 (pow x.im 3)))))) |
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(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* x.re (+ (* -1 (/ (pow x.im 3) x.re)) (pow x.im 2))) |
(*.f64 (fma.f64 x.im x.im (/.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) x.re)) x.re) |
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(*.f64 (-.f64 (fma.f64 x.im x.im (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 x.re x.re))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re) |
(* x.re (- (+ (* -1 (/ (pow x.im 5) (pow x.re 3))) (pow x.im 2)) (+ (* -1 (/ (pow x.im 4) (pow x.re 2))) (/ (pow x.im 3) x.re)))) |
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(* (pow x.re 2) (+ x.im (+ (* -2 (/ (pow x.im 2) x.re)) (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* 2 x.im) (+ (* 2 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re))))))) |
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(* (pow x.re 2) (+ x.im (+ (* -2 (/ (pow x.im 2) x.re)) (+ (* -2 (/ (pow x.im 3) (pow x.re 2))) (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (+ (* 2 (/ (pow x.im 2) x.re)) (+ (* 2 (/ (pow x.im 3) (pow x.re 2))) (/ (pow x.im 2) x.re)))))))))) |
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(* (pow x.re 2) (+ x.im (+ (* -2 (/ (pow x.im 2) x.re)) (+ (* -2 (/ (pow x.im 3) (pow x.re 2))) (+ (* -2 (/ (pow x.im 4) (pow x.re 3))) (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (+ (* 2 (/ (pow x.im 2) x.re)) (+ (* 2 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ (pow x.im 4) (pow x.re 3))) (/ (pow x.im 2) x.re)))))))))))) |
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(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x.im (/.f64 #s(literal 0 binary64) 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) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) |
(*.f64 (+.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x.im (/.f64 #s(literal 0 binary64) x.re)) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re))) x.im) (*.f64 x.re x.re)) |
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(*.f64 (neg.f64 (fma.f64 x.re x.re (/.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) x.im) (pow.f64 x.re #s(literal 3 binary64))) x.im))) (neg.f64 x.im)) |
(* -1 (* x.im (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x.re 5) x.im) (pow x.re 4)) x.im)) (pow x.re 3)) x.im)) (* -1 (pow x.re 2))))) |
(*.f64 (neg.f64 (fma.f64 x.re x.re (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 5 binary64)) x.im) (pow.f64 x.re #s(literal 4 binary64))) (neg.f64 x.im)) (pow.f64 x.re #s(literal 3 binary64))) x.im))) (neg.f64 x.im)) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im)))) x.im))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -2 (pow x.re 2)) (+ (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) x.im)) (* -1 (pow x.re 2)))) x.im)))) x.im))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (/.f64 #s(literal 0 binary64) x.im)) (neg.f64 x.im)) 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 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -2 x.re) (* 2 x.re)) x.im))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -2 x.re) (+ (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (- (* -1 (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2)))) (pow x.re 2)))) x.im)) (* 2 x.re))) x.im))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x.re (fma.f64 #s(literal 2 binary64) x.re (/.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -2 x.re) (+ (* -1 (/ (- (+ (* -2 (pow x.re 2)) (+ (* -1 (- (* -1 (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2)))) (pow x.re 2))) (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) x.im)))) (/ (* (pow x.re 2) (+ (* -2 x.re) (* 2 x.re))) x.im)) x.im)) (* 2 x.re))) x.im))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x.re (fma.f64 #s(literal 2 binary64) x.re (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (/.f64 #s(literal 0 binary64) x.im)) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)) x.im)) x.im))) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 383 |
| 0 | 108 | 374 |
| 1 | 465 | 297 |
| 2 | 3954 | 230 |
| 0 | 9526 | 225 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im)) |
(/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)) |
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
(*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) |
#s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) |
(*.f64 (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 #s(literal 3 binary64) x.re) x.re) x.im)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) |
(*.f64 #s(literal 3 binary64) x.re) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) |
(/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) |
(neg.f64 (-.f64 x.re x.im)) |
(fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) |
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re)) |
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(neg.f64 x.im) |
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.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 (neg.f64 x.im) x.im (*.f64 x.re x.re)) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im)) (neg.f64 (-.f64 x.re x.im))) #s(literal -1 binary64)) (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x.re x.im) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x.re x.im) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.re x.im)) (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.re x.im))) (+.f64 x.re x.im)) |
(*.f64 (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im)) (neg.f64 (-.f64 x.re x.im))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) |
(*.f64 (/.f64 (neg.f64 (+.f64 x.re x.im)) (-.f64 x.re x.im)) (neg.f64 (-.f64 x.re x.im))) |
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (pow.f64 (pow.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.re x.im)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.re x.im))) |
(*.f64 (neg.f64 (+.f64 x.re x.im)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im)) (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.re x.im))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 (+.f64 x.re x.im)) (+.f64 x.re x.im)) (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im))) |
(*.f64 #s(literal 1 binary64) (+.f64 x.re x.im)) |
(*.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.re x.im)) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im))) |
(*.f64 (neg.f64 (-.f64 x.re x.im)) (/.f64 (neg.f64 (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 (+.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im)) (*.f64 (neg.f64 (+.f64 x.re x.im)) (+.f64 x.re x.im))) |
(*.f64 (+.f64 x.re x.im) (/.f64 (neg.f64 (-.f64 x.re x.im)) (neg.f64 (-.f64 x.re x.im)))) |
(*.f64 (+.f64 x.re x.im) (*.f64 (neg.f64 (-.f64 x.re x.im)) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) |
(*.f64 (+.f64 x.re x.im) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (/.f64 (neg.f64 (+.f64 x.re x.im)) (-.f64 x.re x.im)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 x.re x.im))) |
(pow.f64 (/.f64 (-.f64 x.im x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x.re x.im) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 x.re x.im) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))) (exp.f64 (log.f64 (-.f64 x.im x.re)))) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (*.f64 (neg.f64 (+.f64 x.re x.im)) (+.f64 x.re x.im))) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.re x.im)) #s(literal 1 binary64)) (neg.f64 (-.f64 x.re x.im))) |
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.re x.im)) (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im))) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (neg.f64 (-.f64 x.im x.re))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im)) (+.f64 x.re x.im)) (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im))) |
(/.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) (-.f64 x.im x.re)) |
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.re x.re (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.im)))) |
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x.im x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.re x.im)) (neg.f64 (-.f64 x.re x.im))) |
(/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (-.f64 x.re x.im)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(neg.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) |
(neg.f64 (*.f64 (-.f64 x.re x.im) (/.f64 (neg.f64 (+.f64 x.re x.im)) (-.f64 x.re x.im)))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (neg.f64 (-.f64 x.re x.im)))) |
(neg.f64 (neg.f64 (+.f64 x.re x.im))) |
(fma.f64 #s(literal 1 binary64) x.re x.im) |
(fma.f64 #s(literal 1 binary64) x.im (*.f64 x.re #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x.im (*.f64 #s(literal 1 binary64) x.re)) |
(fma.f64 #s(literal 1 binary64) x.im x.re) |
(fma.f64 x.re #s(literal 1 binary64) x.im) |
(fma.f64 x.im #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))) |
(fma.f64 x.im #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x.re)) |
(fma.f64 x.im #s(literal 1 binary64) x.re) |
(-.f64 (/.f64 (*.f64 x.im x.im) (-.f64 x.im x.re)) (/.f64 (*.f64 x.re x.re) (-.f64 x.im x.re))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 x.re x.im)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x.re x.im)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (+.f64 x.re x.im))) |
(+.f64 (*.f64 x.re #s(literal 1 binary64)) x.im) |
(+.f64 (*.f64 #s(literal 1 binary64) x.re) x.im) |
(+.f64 x.re x.im) |
(+.f64 x.im (*.f64 x.re #s(literal 1 binary64))) |
(+.f64 x.im (*.f64 #s(literal 1 binary64) x.re)) |
(+.f64 x.im x.re) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 x.re x.im) #s(literal -2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal -2 binary64))) |
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (+.f64 x.im x.im) #s(literal 3 binary64))) |
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (+.f64 x.re x.re) #s(literal 3 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) |
(*.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(*.f64 x.re (+.f64 x.im x.im)) |
(*.f64 x.im (+.f64 x.re x.re)) |
(pow.f64 (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)) |
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(/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 6 binary64))) |
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(/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 x.re x.im)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x.re x.im)) #s(literal 1 binary64)) (*.f64 x.re x.im)) |
(fma.f64 (sqrt.f64 (*.f64 x.re x.im)) (sqrt.f64 (*.f64 x.re x.im)) (*.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 (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))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) |
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(/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.re x.im)) (*.f64 (-.f64 x.re x.im) x.im)) (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im))) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) |
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) x.im) #s(literal -1 binary64)) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) x.im) (fma.f64 (neg.f64 x.im) x.im (*.f64 (neg.f64 x.re) x.re))) |
(/.f64 (*.f64 x.im (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (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.re x.re (*.f64 x.im x.im))) |
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (fma.f64 (neg.f64 x.im) x.im (*.f64 (neg.f64 x.re) x.re))) |
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (-.f64 x.re x.im)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) x.im)) (-.f64 x.re x.im)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.re x.im)) (*.f64 (-.f64 x.re x.im) x.im))) (-.f64 x.re x.im)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) x.im)) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.re x.im)) (*.f64 (-.f64 x.re x.im) x.im)) (neg.f64 (-.f64 x.re x.im))) |
(/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) x.im) (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im))) |
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(/.f64 (*.f64 (-.f64 x.re x.im) x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))) |
(/.f64 x.im (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 x.re x.re) x.im)) |
(fma.f64 (*.f64 x.re x.re) x.im (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(fma.f64 x.im (*.f64 (neg.f64 x.im) x.im) (*.f64 x.im (*.f64 x.re x.re))) |
(fma.f64 x.im (*.f64 x.re x.re) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im))) |
(+.f64 (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im) (*.f64 (*.f64 x.re x.re) 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 (neg.f64 x.im) x.im)) (*.f64 x.im (*.f64 x.re x.re))) |
(+.f64 (*.f64 x.im (*.f64 x.re x.re)) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im))) |
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(pow.f64 (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (neg.f64 (-.f64 x.re x.im))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (+.f64 x.re x.im)) #s(literal -1 binary64)) |
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#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
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#s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) |
(*.f64 (neg.f64 x.im) x.im) |
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(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) |
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(/.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (neg.f64 x.im) x.im (*.f64 (neg.f64 x.re) x.re))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 18 binary64)) (pow.f64 x.im #s(literal 18 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 6 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (pow.f64 x.re #s(literal 12 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))) |
(/.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 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 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))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (neg.f64 x.re) x.re)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.re x.im)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im)) (+.f64 x.re x.im))) |
(/.f64 (neg.f64 (-.f64 x.re x.im)) (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im))) |
(/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (*.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))))) |
(neg.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.re x.im))) |
(fma.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64)))) (-.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (pow.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64)))) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 x.re x.im)) x.im (*.f64 (-.f64 x.re x.im) x.re)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 x.re x.im)) x.im (*.f64 x.re (-.f64 x.re x.im))) |
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.re)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (-.f64 x.re x.im))) |
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) |
(fma.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64) (*.f64 (-.f64 x.re x.im) x.re)) |
(fma.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64) (*.f64 x.re (-.f64 x.re x.im))) |
(fma.f64 (-.f64 x.re x.im) x.re (*.f64 (-.f64 x.re x.im) x.im)) |
(fma.f64 (-.f64 x.re x.im) x.im (*.f64 (-.f64 x.re x.im) x.re)) |
(fma.f64 (-.f64 x.re x.im) x.im (*.f64 x.re (-.f64 x.re x.im))) |
(fma.f64 (+.f64 x.re x.im) x.re (*.f64 (+.f64 x.re x.im) (neg.f64 x.im))) |
(fma.f64 x.re (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) |
(fma.f64 x.re (+.f64 x.re x.im) (*.f64 (neg.f64 x.im) (+.f64 x.re x.im))) |
(fma.f64 x.re x.re (*.f64 (neg.f64 x.im) x.im)) |
(fma.f64 x.im (*.f64 (-.f64 x.re x.im) #s(literal 1 binary64)) (*.f64 (-.f64 x.re x.im) x.re)) |
(fma.f64 x.im (*.f64 (-.f64 x.re x.im) #s(literal 1 binary64)) (*.f64 x.re (-.f64 x.re x.im))) |
(fma.f64 x.im (neg.f64 x.im) (*.f64 x.re x.re)) |
(fma.f64 x.im (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) |
(fma.f64 x.im (-.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) |
(-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 x.re x.re (*.f64 x.im x.im))) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 x.re x.re (*.f64 x.im x.im)))) |
(-.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 (neg.f64 x.im) x.im (*.f64 (neg.f64 x.re) x.re))) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (neg.f64 x.im) x.im (*.f64 (neg.f64 x.re) x.re)))) |
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.re x.im))) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(exp.f64 (*.f64 (log.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 x.re (+.f64 x.re x.im)) (*.f64 (neg.f64 x.im) (+.f64 x.re x.im))) |
(+.f64 (*.f64 (+.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (neg.f64 x.im))) |
(+.f64 (*.f64 (-.f64 x.re x.im) x.re) (*.f64 (-.f64 x.re x.im) x.im)) |
(+.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) x.im)) (neg.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) x.re))) |
(+.f64 (*.f64 x.re (-.f64 x.re x.im)) (*.f64 (-.f64 x.re x.im) x.im)) |
(+.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))))) |
(+.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 (-.f64 x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.re)) |
(+.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (-.f64 x.re x.im))) |
Compiled 46 727 to 4 321 computations (90.8% saved)
15 alts after pruning (9 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 047 | 8 | 1 055 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 052 | 15 | 1 067 |
| Status | Accuracy | Program |
|---|---|---|
| 91.6% | (+.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) x.im) (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 91.3% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im)) (*.f64 (neg.f64 (-.f64 x.re x.im)) x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 28.6% | (+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 #s(approx (+ (* (neg x.im) x.im) (* x.re x.re)) (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.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)) | |
| 91.6% | (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) | |
| 78.3% | (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im)) (*.f64 (*.f64 (neg.f64 (+.f64 x.re x.im)) (+.f64 x.re x.im)) (*.f64 (-.f64 x.re x.im) x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 91.4% | (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x.re x.im) #s(literal -1/2 binary64))) (pow.f64 (+.f64 x.re x.im) #s(literal -1/2 binary64)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| 57.9% | #s(approx (/ (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2)))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) | |
| ✓ | 90.0% | #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
| 50.5% | #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) 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)) | |
| ✓ | 57.9% | #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
| ✓ | 55.9% | #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))) |
| ✓ | 50.5% | #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.re) x.re) x.im)) |
| ✓ | 56.0% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) |
| 56.0% | #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 (*.f64 x.re x.im) #s(literal 3 binary64)))) | |
| ✓ | 55.9% | #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)))) |
Compiled 1 521 to 482 computations (68.3% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.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.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 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.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 (*.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) x.im) #s(literal 3 binary64))) |
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)) |
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) 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 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) |
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.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 (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 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.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 (*.f64 (neg.f64 (-.f64 x.re x.im)) x.im) (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im)) (*.f64 (*.f64 (neg.f64 (+.f64 x.re x.im)) (+.f64 x.re x.im)) (*.f64 (-.f64 x.re x.im) x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im)) (*.f64 (neg.f64 (-.f64 x.re x.im)) x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 #s(approx (+ (* (neg x.im) x.im) (* x.re x.re)) (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.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)) |
#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 (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) 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.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2)))) (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)) |
(+.f64 (*.f64 (/.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))) 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 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.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 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x.re x.im) #s(literal -1/2 binary64))) (pow.f64 (+.f64 x.re x.im) #s(literal -1/2 binary64)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
| Outputs |
|---|
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
3 calls:
| 11.0ms | x.im |
| 9.0ms | x.re |
| 8.0ms | (+.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 |
|---|---|---|
| 96.7% | 2 | x.re |
| 98.6% | 2 | x.im |
| 98.6% | 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 (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.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.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 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.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 (*.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) x.im) #s(literal 3 binary64))) |
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)) |
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) 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 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) |
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.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 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Outputs |
|---|
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.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 (*.f64 x.re x.im) #s(literal 3 binary64)))) |
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
2 calls:
| 6.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 5.0ms | x.im |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | x.im |
| 98.7% | 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 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.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.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 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.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 (*.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) x.im) #s(literal 3 binary64))) |
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)) |
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) 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 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) |
| Outputs |
|---|
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.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 (*.f64 x.re x.im) #s(literal 3 binary64)))) |
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.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 |
|---|---|---|
| 98.6% | 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 (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.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)))) |
| Outputs |
|---|
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.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 (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
1 calls:
| 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 |
|---|---|---|
| 98.6% | 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)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
| Outputs |
|---|
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
3 calls:
| 3.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 1.0ms | x.im |
| 1.0ms | x.re |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.9% | 1 | x.re |
| 57.9% | 1 | x.im |
| 57.9% | 1 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 21 to 15 computations (28.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 22 to 16 computations (27.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 1.2670563062786385e+54 | 7.889759965314045e+56 |
Compiled 22 to 16 computations (27.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -3.953e-321 | 0.0 |
Compiled 22 to 16 computations (27.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -3.953e-321 | 0.0 |
Compiled 22 to 16 computations (27.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 672 |
| 1 | 94 | 672 |
| 2 | 100 | 672 |
| 3 | 103 | 672 |
| 4 | 104 | 672 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (+.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)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.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 2000000000000000156583080809192487684610720599772233728 binary64)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.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 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.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 -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.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 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.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 -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.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 (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)))) |
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
| Outputs |
|---|
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (+.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)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))) |
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.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 2000000000000000156583080809192487684610720599772233728 binary64)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.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 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal 2000000000000000156583080809192487684610720599772233728 binary64)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) 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 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.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 -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.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 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) 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 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.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 -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.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 (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) 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 (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)))) |
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 54 |
| 0 | 20 | 54 |
| 1 | 79 | 42 |
| 0 | 536 | 41 |
| 0 | 57 | 180 |
| 1 | 182 | 170 |
| 2 | 586 | 170 |
| 3 | 2560 | 170 |
| 4 | 6935 | 170 |
| 0 | 8454 | 170 |
| 0 | 331 | 999 |
| 1 | 1060 | 933 |
| 2 | 3399 | 881 |
| 0 | 8273 | 842 |
| 0 | 43 | 268 |
| 0 | 68 | 240 |
| 1 | 279 | 198 |
| 2 | 1872 | 198 |
| 0 | 8457 | 193 |
| 0 | 277 | 1207 |
| 1 | 949 | 986 |
| 2 | 3531 | 863 |
| 0 | 8357 | 830 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
Compiled 905 to 227 computations (74.9% saved)
(abs x.re)
Compiled 2 442 to 506 computations (79.3% saved)
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