
Time bar (total: 10.6s)
| 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)
| 5.1s | 8 256× | 0 | valid |
ival-sub: 4.1s (84.1% of total)ival-mult: 619.0ms (12.7% of total)ival-add: 144.0ms (3% of total)ival-true: 6.0ms (0.1% of total)ival-assert: 3.0ms (0.1% 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.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 14 | 0 | - | 0 | - | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) |
| 12 | 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.im) |
| 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.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | nan-rescue | 21 | 0 |
| ↳ | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) | overflow | 126 | |
| ↳ | (*.f64 x.re x.re) | overflow | 70 | |
| ↳ | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | overflow | 115 | |
| ↳ | (*.f64 x.im x.im) | overflow | 57 | |
| ↳ | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) | overflow | 63 | |
| ↳ | (*.f64 x.im x.re) | overflow | 27 | |
| ↳ | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | overflow | 27 | |
| ↳ | (*.f64 x.re x.im) | overflow | 27 | |
*.f64 | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) | n*o | 14 | 0 |
-.f64 | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | nan-rescue | 12 | 0 |
| ↳ | (*.f64 x.re x.re) | overflow | 70 | |
| ↳ | (*.f64 x.im x.im) | overflow | 57 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 40 | 0 |
| - | 0 | 216 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 40 | 0 | 0 |
| - | 0 | 0 | 216 |
| number | freq |
|---|---|
| 0 | 216 |
| 1 | 33 |
| 2 | 7 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 98.0ms | 512× | 0 | valid |
Compiled 218 to 48 computations (78% saved)
ival-mult: 20.0ms (72.1% of total)ival-sub: 5.0ms (18% of total)ival-add: 2.0ms (7.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 107 |
| 1 | 106 | 89 |
| 2 | 324 | 85 |
| 3 | 1294 | 55 |
| 4 | 3711 | 55 |
| 5 | 5643 | 55 |
| 6 | 6680 | 55 |
| 7 | 7003 | 55 |
| 8 | 7258 | 55 |
| 9 | 7353 | 55 |
| 10 | 7370 | 55 |
| 0 | 11 | 19 |
| 0 | 20 | 19 |
| 1 | 38 | 17 |
| 2 | 84 | 17 |
| 3 | 240 | 11 |
| 4 | 676 | 11 |
| 5 | 2155 | 11 |
| 6 | 4296 | 11 |
| 7 | 6270 | 11 |
| 8 | 7337 | 11 |
| 9 | 7658 | 11 |
| 10 | 7697 | 11 |
| 11 | 7697 | 11 |
| 0 | 8216 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| Outputs |
|---|
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im) (pow.f64 x.re #s(literal 3 binary64))) |
(abs x.im)
(negabs x.re)
Compiled 19 to 11 computations (42.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.6% | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
Compiled 19 to 11 computations (42.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x.re x.re) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) | |
| cost-diff | 128 | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | |
| cost-diff | 192 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 65 |
| 0 | 20 | 65 |
| 1 | 38 | 59 |
| 2 | 84 | 59 |
| 3 | 240 | 53 |
| 4 | 676 | 53 |
| 5 | 2155 | 53 |
| 6 | 4296 | 53 |
| 7 | 6270 | 53 |
| 8 | 7337 | 53 |
| 9 | 7658 | 53 |
| 10 | 7697 | 53 |
| 11 | 7697 | 53 |
| 0 | 8216 | 52 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 x.re x.re) |
x.re |
(*.f64 x.im x.im) |
x.im |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
| Outputs |
|---|
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im) (pow.f64 x.re #s(literal 3 binary64))) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) |
(*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) |
(*.f64 x.re x.re) |
x.re |
(*.f64 x.im x.im) |
x.im |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.im) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(*.f64 x.im x.re) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) | |
| accuracy | 2.6484271791510294 | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | |
| accuracy | 3.3638191131199338 | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) | |
| accuracy | 4.242187500000001 | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 146.0ms | 256× | 0 | valid |
Compiled 132 to 24 computations (81.8% saved)
ival-add: 75.0ms (68% of total)ival-mult: 33.0ms (29.9% of total)ival-sub: 2.0ms (1.8% 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.re) |
(*.f64 x.re x.re) |
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
| Outputs |
|---|
(* 2 (* x.im x.re)) |
(* -1 (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(* -1 (* (pow x.im 2) x.re)) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(pow x.re 2) |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* 2 (* (pow x.im 2) x.re)) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x.re | @ | inf | ((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
| 2.0ms | x.re | @ | 0 | ((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
| 2.0ms | x.re | @ | -inf | ((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
| 1.0ms | x.im | @ | 0 | ((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
| 1.0ms | x.im | @ | -inf | ((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 190 |
| 1 | 169 | 170 |
| 2 | 544 | 170 |
| 3 | 2210 | 170 |
| 4 | 6085 | 170 |
| 0 | 8211 | 165 |
| 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 2) x.re)) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(pow x.re 2) |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* 2 (* (pow x.im 2) x.re)) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
| 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)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) |
(* -1 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64))) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64))) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64))) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 54 |
| 0 | 20 | 54 |
| 1 | 83 | 42 |
| 0 | 576 | 41 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) |
(*.f64 x.re x.re) |
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
| Outputs |
|---|
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) |
(*.f64 x.im (+.f64 x.re x.re)) |
(*.f64 x.re (+.f64 x.im x.im)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 x.im x.re (*.f64 x.im x.re)) |
(fma.f64 x.re x.im (*.f64 x.im x.re)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (neg.f64 (*.f64 x.im x.re)) (neg.f64 (*.f64 x.im x.re))) |
(+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) |
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) |
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re)))) |
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) |
(/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)) (*.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (*.f64 (neg.f64 x.im) x.im)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) |
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) |
(fma.f64 x.im (neg.f64 x.im) (*.f64 x.re x.re)) |
(fma.f64 x.re x.re (*.f64 (neg.f64 x.im) x.im)) |
(-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 x.im x.im (*.f64 x.re x.re))) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 x.im x.im (*.f64 x.re x.re)))) |
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(+.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 x.re x.re)) |
(+.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) |
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) |
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) |
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) |
(*.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) |
(/.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.im x.im (*.f64 x.re x.re))) |
(/.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) |
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) |
(fma.f64 x.re (*.f64 x.re x.re) (*.f64 x.re (*.f64 (neg.f64 x.im) x.im))) |
(+.f64 (*.f64 (*.f64 x.re x.re) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) |
(+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 (neg.f64 x.im) x.im))) |
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64))) |
(*.f64 x.re x.re) |
(pow.f64 x.re #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64))) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) |
(fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) |
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))) |
(+.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) |
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 x.im)) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) |
(*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) |
(/.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) |
(fma.f64 (*.f64 x.im x.re) x.im (*.f64 (*.f64 x.im x.re) x.im)) |
(fma.f64 x.im (*.f64 x.im x.re) (*.f64 x.im (*.f64 x.im x.re))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) |
(+.f64 (*.f64 (*.f64 x.im x.re) x.im) (*.f64 (*.f64 x.im x.re) x.im)) |
(+.f64 (*.f64 x.im (*.f64 x.im x.re)) (*.f64 x.im (*.f64 x.im x.re))) |
Compiled 2 642 to 355 computations (86.6% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 96 | 10 | 106 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 97 | 10 | 107 |
| Status | Accuracy | Program |
|---|---|---|
| 14.7% | (-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| 36.9% | (-.f64 (*.f64 (/.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))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| ▶ | 30.3% | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
| 61.7% | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (neg.f64 (*.f64 x.im x.re)) (neg.f64 (*.f64 x.im x.re))) x.im)) | |
| ▶ | 84.6% | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) |
| ▶ | 91.6% | (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 14.6% | (-.f64 (*.f64 (*.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))))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| 48.5% | (-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) | |
| ▶ | 81.9% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64)))) |
| ▶ | 43.3% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
Compiled 522 to 306 computations (41.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) | |
| cost-diff | 832 | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) | |
| cost-diff | 13952 | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 x.im x.im) | |
| cost-diff | 0 | (*.f64 (*.f64 x.im x.im) x.re) | |
| cost-diff | 0 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64)))) | |
| cost-diff | 6144 | (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 x.re x.re) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) | |
| cost-diff | 128 | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | |
| cost-diff | 832 | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) | |
| cost-diff | 0 | (*.f64 x.im x.im) | |
| cost-diff | 0 | (*.f64 (*.f64 x.im x.im) x.re) | |
| cost-diff | 0 | (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) | |
| cost-diff | 0 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) | |
| cost-diff | 0 | (+.f64 x.im x.re) | |
| cost-diff | 0 | (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) | |
| cost-diff | 192 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| cost-diff | 832 | (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 326 |
| 0 | 71 | 301 |
| 1 | 131 | 289 |
| 2 | 308 | 289 |
| 3 | 1640 | 259 |
| 4 | 6310 | 259 |
| 0 | 8357 | 259 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) |
(+.f64 x.im x.re) |
x.im |
x.re |
(*.f64 (-.f64 x.re x.im) x.re) |
(-.f64 x.re x.im) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
#s(literal -3 binary64) |
(*.f64 (*.f64 x.im x.im) x.re) |
(*.f64 x.im x.im) |
x.im |
x.re |
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 x.re x.re) |
x.re |
(*.f64 x.im x.im) |
x.im |
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) |
(*.f64 x.re (+.f64 x.im x.im)) |
(+.f64 x.im x.im) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64)))) |
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64))) |
#s(literal -3 binary64) |
(*.f64 (*.f64 x.im x.im) x.re) |
(*.f64 x.im x.im) |
x.im |
x.re |
(pow.f64 x.re #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 x.re x.re) |
x.re |
(*.f64 x.im x.im) |
x.im |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) |
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) |
#s(literal 2 binary64) |
(pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) |
(*.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))) |
#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.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) |
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) |
(*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) |
(+.f64 x.im x.re) |
(+.f64 x.re x.im) |
x.im |
x.re |
(*.f64 (-.f64 x.re x.im) x.re) |
(-.f64 x.re x.im) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x.im 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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) |
#s(literal -3 binary64) |
(*.f64 (*.f64 x.im x.im) x.re) |
(*.f64 x.im x.im) |
x.im |
x.re |
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) |
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) |
(*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(*.f64 x.re x.re) |
x.re |
(*.f64 x.im x.im) |
x.im |
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
(*.f64 x.re (+.f64 x.im x.im)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) |
(+.f64 x.im x.im) |
(*.f64 #s(literal 2 binary64) x.im) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64)))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)) |
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64))) |
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) |
#s(literal -3 binary64) |
(*.f64 (*.f64 x.im x.im) x.re) |
(*.f64 x.im x.im) |
x.im |
x.re |
(pow.f64 x.re #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) |
(*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) |
(*.f64 x.re x.re) |
x.re |
(*.f64 x.im x.im) |
x.im |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) |
(*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im) |
(*.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)) |
#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)) |
(*.f64 x.im x.re) |
(*.f64 x.re x.im) |
#s(literal 3 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)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.6484271791510294 | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | |
| accuracy | 3.3638191131199338 | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) | |
| accuracy | 4.242187500000001 | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) | |
| accuracy | 39.48099522012801 | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) | |
| accuracy | 0.0 | (*.f64 x.im x.im) | |
| accuracy | 0.0 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64)))) | |
| accuracy | 7.2460689799624705 | (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64))) | |
| accuracy | 8.265922305890708 | (*.f64 (*.f64 x.im x.im) x.re) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) | |
| accuracy | 2.6484271791510294 | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | |
| accuracy | 3.3638191131199338 | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) | |
| accuracy | 4.242187500000001 | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) | |
| accuracy | 0.0 | (*.f64 x.im x.im) | |
| accuracy | 0.18359375 | (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) | |
| accuracy | 8.265922305890708 | (*.f64 (*.f64 x.im x.im) x.re) | |
| accuracy | 32.93320288306884 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| accuracy | 0.08984375 | (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) | |
| accuracy | 0.12109375 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) | |
| accuracy | 4.242187500000001 | (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 96.0ms | 256× | 0 | valid |
Compiled 636 to 82 computations (87.1% saved)
ival-mult: 48.0ms (66.6% of total)ival-sub: 7.0ms (9.7% of total)ival-add: 6.0ms (8.3% of total)ival-pow: 5.0ms (6.9% of total)ival-pow2: 4.0ms (5.5% of total)ival-div: 2.0ms (2.8% of total)exact: 1.0ms (1.4% 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.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) |
(+.f64 x.im x.re) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
(*.f64 (*.f64 x.im x.im) x.re) |
(*.f64 x.im x.im) |
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) |
(*.f64 x.re x.re) |
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) |
| Outputs |
|---|
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2)))) |
(* 2 (* x.im x.re)) |
(* -1 (* (pow x.im 2) x.re)) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) |
x.im |
(+ x.im x.re) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* -3 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) x.re) |
(* -1 (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(pow x.re 2) |
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2))) |
(* 2 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (pow x.re 2)) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) |
x.re |
(* x.re (+ 1 (/ x.im x.re))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(pow x.im 2) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))) |
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) |
(* x.im (+ 1 (/ x.re x.im))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re))) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x.re | @ | 0 | ((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (+ (* -3 (* (* x.im x.im) x.re)) (pow x.re 3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2)))) (+ 0 (pow (* x.im x.re) 2)) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (* x.re (+ x.im x.im)) x.im)) |
| 3.0ms | x.re | @ | -inf | ((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (+ (* -3 (* (* x.im x.im) x.re)) (pow x.re 3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2)))) (+ 0 (pow (* x.im x.re) 2)) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (* x.re (+ x.im x.im)) x.im)) |
| 3.0ms | x.re | @ | inf | ((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (+ (* -3 (* (* x.im x.im) x.re)) (pow x.re 3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2)))) (+ 0 (pow (* x.im x.re) 2)) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (* x.re (+ x.im x.im)) x.im)) |
| 2.0ms | x.im | @ | inf | ((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (+ (* -3 (* (* x.im x.im) x.re)) (pow x.re 3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2)))) (+ 0 (pow (* x.im x.re) 2)) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (* x.re (+ x.im x.im)) x.im)) |
| 2.0ms | x.im | @ | -inf | ((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (+ (* -3 (* (* x.im x.im) x.re)) (pow x.re 3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2))) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* (* 2 (pow (* x.im x.re) 3)) x.im) (+ 0 (pow (* x.im x.re) 2)))) (+ 0 (pow (* x.im x.re) 2)) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (* x.re (+ x.im x.im)) x.im)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 658 |
| 1 | 569 | 486 |
| 2 | 1875 | 432 |
| 3 | 6177 | 432 |
| 0 | 8659 | 416 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2)))) |
(* 2 (* x.im x.re)) |
(* -1 (* (pow x.im 2) x.re)) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) |
x.im |
(+ x.im x.re) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* -3 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) x.re) |
(* -1 (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(pow x.re 2) |
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2))) |
(* 2 (* (pow x.im 2) x.re)) |
(* (pow x.im 2) (pow x.re 2)) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) |
x.re |
(* x.re (+ 1 (/ x.im x.re))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(pow x.im 2) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re))) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))) |
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) |
(* x.im (+ 1 (/ x.re x.im))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re))) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
| Outputs |
|---|
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) x.im) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) x.im) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* 2 (* x.im x.re)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) |
(* -1 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (neg.f64 x.re) x.im) x.im) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))) |
(*.f64 (*.f64 (neg.f64 x.re) x.im) x.im) |
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) |
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re) |
x.im |
(+ x.im x.re) |
(+.f64 x.re x.im) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) x.im) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* -1 (pow x.im 2)) |
(*.f64 (neg.f64 x.im) x.im) |
(- (pow x.re 2) (pow x.im 2)) |
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) |
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* 2 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re) |
(* (pow x.im 2) (pow x.re 2)) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) x.im) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) |
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re) |
x.re |
(* x.re (+ 1 (/ x.im x.re))) |
(+.f64 x.re x.im) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) |
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re) |
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) |
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re) |
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) |
(+.f64 x.re x.im) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) |
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) |
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) x.im) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re))) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) x.im) |
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))) |
(*.f64 (*.f64 (neg.f64 x.re) x.im) x.im) |
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) |
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re) |
(* x.im (+ 1 (/ x.re x.im))) |
(+.f64 x.re x.im) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) |
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re))) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) x.im) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))) |
(*.f64 (*.f64 (neg.f64 x.re) x.im) x.im) |
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) |
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re) |
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) |
(+.f64 x.re x.im) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 223 |
| 0 | 71 | 185 |
| 1 | 282 | 157 |
| 0 | 1990 | 152 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) |
(+.f64 x.im x.re) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) |
(*.f64 (*.f64 x.im x.im) x.re) |
(*.f64 x.im x.im) |
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) |
(*.f64 x.re x.re) |
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) |
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 2 binary64))))) |
(*.f64 x.re (-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))) |
(*.f64 x.re (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64))) (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im) (neg.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im) (pow.f64 (*.f64 x.re x.im) #s(literal 6 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (*.f64 x.re #s(literal 2 binary64)) x.im (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) |
(fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) |
(fma.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64))) (*.f64 x.im (pow.f64 (*.f64 x.re x.im) #s(literal -2 binary64))) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (neg.f64 x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (/.f64 (*.f64 x.im x.im) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 x.re x.re) x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (/.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) (/.f64 (*.f64 x.re x.re) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (/.f64 (*.f64 x.im x.im) x.im) (/.f64 (*.f64 x.re x.re) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (/.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (/.f64 (*.f64 x.re x.im) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (/.f64 (*.f64 x.re x.im) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 x.re x.im) x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (/.f64 (*.f64 x.re x.im) x.im) (/.f64 (*.f64 x.re x.im) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 x.im x.im)) (/.f64 x.im (*.f64 x.re x.re)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x.im x.im)) (/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im) (*.f64 x.re x.re)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) (/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im) (*.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (/.f64 x.im (*.f64 x.im x.im)) (/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 x.re x.re)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 x.re x.im)) (/.f64 x.im (*.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (/.f64 x.im (*.f64 x.re x.im)) (/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (*.f64 x.im (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 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (neg.f64 x.im) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (pow.f64 (*.f64 x.re x.im) #s(literal -2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im)) (pow.f64 (*.f64 x.re x.im) #s(literal -2 binary64)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im) (neg.f64 (pow.f64 (*.f64 x.re x.im) #s(literal -2 binary64))) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im) (pow.f64 (*.f64 x.re x.im) #s(literal -2 binary64)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (neg.f64 (*.f64 x.im (pow.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) |
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(neg.f64 (*.f64 #s(literal 2 binary64) x.im)) |
(fma.f64 (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 x.re x.im)) |
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64)) (*.f64 x.re x.im)) |
(fma.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (*.f64 x.re x.im)) |
(fma.f64 (*.f64 x.im x.im) x.re (*.f64 (*.f64 x.im x.im) x.re)) |
(fma.f64 (*.f64 x.re x.im) x.im (*.f64 (*.f64 x.im x.im) x.re)) |
(fma.f64 x.re (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) x.re)) |
(fma.f64 x.re x.im (*.f64 x.re x.im)) |
(fma.f64 x.im (*.f64 x.re x.im) (*.f64 (*.f64 x.im x.im) x.re)) |
(fma.f64 x.im x.re (*.f64 x.re x.im)) |
(-.f64 (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)) (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x.im)) |
(+.f64 (neg.f64 (*.f64 x.re x.im)) (neg.f64 (*.f64 x.re x.im))) |
(+.f64 (*.f64 (*.f64 x.im x.im) x.re) (*.f64 (*.f64 x.im x.im) x.re)) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) |
(+.f64 x.im x.im) |
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im) (neg.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im) (pow.f64 (*.f64 x.re x.im) #s(literal 6 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64))) |
(*.f64 (*.f64 x.re #s(literal 2 binary64)) x.im) |
(*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64))) (*.f64 x.im (pow.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))) |
(*.f64 (neg.f64 x.re) (*.f64 #s(literal 2 binary64) x.im)) |
(*.f64 (/.f64 (*.f64 x.im x.im) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 x.re x.re) x.im)) |
(*.f64 (/.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) (/.f64 (*.f64 x.re x.re) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im))) |
(*.f64 (/.f64 (*.f64 x.im x.im) x.im) (/.f64 (*.f64 x.re x.re) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (/.f64 (*.f64 x.re x.im) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im))) |
(*.f64 (/.f64 (*.f64 x.re x.im) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 x.re x.im) x.im)) |
(*.f64 (/.f64 (*.f64 x.re x.im) x.im) (/.f64 (*.f64 x.re x.im) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 x.im x.im)) (/.f64 x.im (*.f64 x.re x.re))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x.im x.im)) (/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im) (*.f64 x.re x.re))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) (/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im) (*.f64 x.re x.im))) |
(*.f64 (/.f64 x.im (*.f64 x.im x.im)) (/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 x.re x.re))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 x.re x.im)) (/.f64 x.im (*.f64 x.re x.im))) |
(*.f64 (/.f64 x.im (*.f64 x.re x.im)) (/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 x.re x.im))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x.im)) |
(*.f64 (*.f64 x.im (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 (neg.f64 x.im) (*.f64 #s(literal 2 binary64) x.im)) |
(*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal -2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x.im)) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im)) (pow.f64 (*.f64 x.re x.im) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im))) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im) (neg.f64 (pow.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im) (pow.f64 (*.f64 x.re x.im) #s(literal -2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (neg.f64 (*.f64 x.im (pow.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))) |
(*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 x.im (pow.f64 (*.f64 x.re x.im) #s(literal -2 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 (*.f64 x.re x.im) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im) (pow.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) (*.f64 x.im (pow.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) |
(*.f64 #s(literal 2 binary64) x.im) |
(*.f64 (*.f64 x.im x.im) (/.f64 (*.f64 x.re x.re) (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im))) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) (neg.f64 x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) (neg.f64 x.im)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 x.re x.im)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.im) |
(*.f64 (*.f64 x.re x.im) (/.f64 (*.f64 x.re x.im) (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im))) |
(*.f64 (*.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) |
(*.f64 x.re (*.f64 #s(literal 2 binary64) x.im)) |
(*.f64 x.im (+.f64 x.re x.re)) |
(*.f64 x.im #s(literal 2 binary64)) |
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.im)) |
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal -1 binary64)) |
(/.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))) x.im) |
(/.f64 (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im)) |
(/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im) (*.f64 x.im x.im)) (*.f64 x.re x.re)) |
(/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im) (*.f64 x.re x.im)) (*.f64 x.re x.im)) |
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.im) (fma.f64 x.im x.im #s(literal 0 binary64))) |
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.im x.im #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) |
(/.f64 (neg.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 (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im))) (neg.f64 (neg.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im))) (neg.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im) #s(literal 1 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x.im)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im) (neg.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(/.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 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x.im)) |
(/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im) (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.im x.im #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im)) (neg.f64 (neg.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im)) (neg.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.im)) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im)) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im) (neg.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.im) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) |
(/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 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))) |
(neg.f64 (*.f64 #s(literal 2 binary64) x.im)) |
(fma.f64 (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 x.re x.im)) |
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64)) (*.f64 x.re x.im)) |
(fma.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (*.f64 x.re x.im)) |
(fma.f64 (*.f64 x.im x.im) x.re (*.f64 (*.f64 x.im x.im) x.re)) |
(fma.f64 (*.f64 x.re x.im) x.im (*.f64 (*.f64 x.im x.im) x.re)) |
(fma.f64 x.re (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) x.re)) |
(fma.f64 x.re x.im (*.f64 x.re x.im)) |
(fma.f64 x.im (*.f64 x.re x.im) (*.f64 (*.f64 x.im x.im) x.re)) |
(fma.f64 x.im x.re (*.f64 x.re x.im)) |
(-.f64 (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)) (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x.im)) |
(+.f64 (neg.f64 (*.f64 x.re x.im)) (neg.f64 (*.f64 x.re x.im))) |
(+.f64 (*.f64 (*.f64 x.im x.im) x.re) (*.f64 (*.f64 x.im x.im) x.re)) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) |
(+.f64 x.im x.im) |
Compiled 11 531 to 1 215 computations (89.5% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 413 | 9 | 422 |
| Fresh | 5 | 0 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 422 | 10 | 432 |
| Status | Accuracy | Program |
|---|---|---|
| 64.5% | (fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) | |
| 39.7% | (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) x.im)) | |
| ▶ | 90.0% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
| ▶ | 43.4% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)) |
| 43.4% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) | |
| ▶ | 48.4% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))) |
| 48.4% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) | |
| ▶ | 48.5% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
| ✓ | 43.3% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
| ▶ | 64.5% | #s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) |
Compiled 475 to 286 computations (39.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x.re #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 x.im x.im) | |
| cost-diff | 0 | (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) | |
| cost-diff | 0 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)) | |
| cost-diff | 0 | (*.f64 x.re x.im) | |
| cost-diff | 0 | (*.f64 #s(literal -3 binary64) x.im) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im)) | |
| cost-diff | 0 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))) | |
| cost-diff | 0 | (*.f64 x.re x.im) | |
| cost-diff | 0 | (*.f64 (*.f64 x.re x.im) x.im) | |
| cost-diff | 0 | (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im)) | |
| cost-diff | 0 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) | |
| cost-diff | 0 | (*.f64 x.im x.im) | |
| cost-diff | 0 | (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) | |
| cost-diff | 0 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 218 |
| 0 | 47 | 218 |
| 1 | 93 | 208 |
| 2 | 167 | 208 |
| 3 | 390 | 173 |
| 4 | 1131 | 173 |
| 5 | 3330 | 173 |
| 6 | 6056 | 173 |
| 0 | 8015 | 173 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) |
#s(literal -3 binary64) |
(*.f64 x.im x.im) |
x.im |
(*.f64 x.re x.re) |
x.re |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im)) |
#s(literal -3 binary64) |
(*.f64 (*.f64 x.re x.im) x.im) |
(*.f64 x.re x.im) |
x.re |
x.im |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))) |
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im)) |
(*.f64 #s(literal -3 binary64) x.im) |
#s(literal -3 binary64) |
x.im |
(*.f64 x.re x.im) |
x.re |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) |
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) |
(*.f64 x.im x.im) |
x.im |
#s(literal -3 binary64) |
x.re |
#s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) |
(pow.f64 x.re #s(literal 3 binary64)) |
x.re |
#s(literal 3 binary64) |
| Outputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
#s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) |
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) |
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) |
#s(literal -3 binary64) |
(*.f64 x.im x.im) |
x.im |
(*.f64 x.re x.re) |
x.re |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
#s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im)) |
(*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(*.f64 (*.f64 x.re x.im) x.im) |
(*.f64 (*.f64 x.im x.re) x.im) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
x.re |
x.im |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))) |
#s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im)) |
(*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) x.im) |
#s(literal -3 binary64) |
x.im |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
x.re |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)) |
#s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) |
(*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)) |
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) |
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) |
(*.f64 x.im x.im) |
x.im |
#s(literal -3 binary64) |
x.re |
#s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) |
(pow.f64 x.re #s(literal 3 binary64)) |
x.re |
#s(literal 3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 x.re #s(literal 3 binary64)) | |
| accuracy | 22.705824745548462 | #s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) | |
| accuracy | 0.0 | (*.f64 x.im x.im) | |
| accuracy | 0.140625 | (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) | |
| accuracy | 8.278826626033071 | (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) | |
| accuracy | 32.93320288306884 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)) | |
| accuracy | 0.0 | (*.f64 x.re x.im) | |
| accuracy | 0.0 | (*.f64 #s(literal -3 binary64) x.im) | |
| accuracy | 0.21875 | (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im)) | |
| accuracy | 32.93320288306884 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))) | |
| accuracy | 0.0 | (*.f64 x.re x.im) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 x.re x.im) x.im) | |
| accuracy | 0.18359375 | (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im)) | |
| accuracy | 32.93320288306884 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) | |
| accuracy | 0.0 | (*.f64 x.im x.im) | |
| accuracy | 0.0 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) | |
| accuracy | 2.7031146791510294 | (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) | |
| accuracy | 3.359301878914465 | (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
| 82.0ms | 256× | 0 | valid |
Compiled 401 to 65 computations (83.8% saved)
ival-mult: 23.0ms (66.6% of total)ival-sub: 5.0ms (14.5% of total)ival-add: 3.0ms (8.7% of total)ival-pow: 3.0ms (8.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) |
(*.f64 x.im x.im) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im)) |
(*.f64 (*.f64 x.re x.im) x.im) |
(*.f64 x.re x.im) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))) |
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im)) |
(*.f64 #s(literal -3 binary64) x.im) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) |
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) |
#s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) |
(pow.f64 x.re #s(literal 3 binary64)) |
| Outputs |
|---|
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* -3 (* (pow x.im 2) x.re)) |
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2))) |
(* -3 (pow x.im 2)) |
(+ (* -3 (pow x.im 2)) (pow x.re 2)) |
(* (pow x.im 2) x.re) |
(* x.im x.re) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2)))) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(pow x.im 2) |
(* -3 x.im) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3)) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | x.im | @ | inf | ((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 x.im) (* x.re x.im)) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3)) |
| 3.0ms | x.re | @ | -inf | ((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 x.im) (* x.re x.im)) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3)) |
| 2.0ms | x.im | @ | -inf | ((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 x.im) (* x.re x.im)) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3)) |
| 2.0ms | x.re | @ | inf | ((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 x.im) (* x.re x.im)) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3)) |
| 2.0ms | x.re | @ | 0 | ((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 x.im) (* x.re x.im)) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 363 |
| 1 | 405 | 283 |
| 2 | 1332 | 283 |
| 3 | 5452 | 283 |
| 0 | 8452 | 264 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* -3 (* (pow x.im 2) x.re)) |
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2))) |
(* -3 (pow x.im 2)) |
(+ (* -3 (pow x.im 2)) (pow x.re 2)) |
(* (pow x.im 2) x.re) |
(* x.im x.re) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2)))) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(pow x.im 2) |
(* -3 x.im) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3)) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re))) |
| Outputs |
|---|
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re (pow.f64 x.re #s(literal 3 binary64))) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im) |
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re (pow.f64 x.re #s(literal 3 binary64))) |
(* -3 (pow x.im 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
(+ (* -3 (pow x.im 2)) (pow x.re 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) |
(* (pow x.im 2) x.re) |
(*.f64 (*.f64 x.im x.im) x.re) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2)))) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im) |
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2)))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re (pow.f64 x.re #s(literal 3 binary64))) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re (pow.f64 x.re #s(literal 3 binary64))) |
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re (pow.f64 x.re #s(literal 3 binary64))) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) |
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re (pow.f64 x.re #s(literal 3 binary64))) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re (pow.f64 x.re #s(literal 3 binary64))) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re (pow.f64 x.re #s(literal 3 binary64))) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re (pow.f64 x.re #s(literal 3 binary64))) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(* -3 x.im) |
(*.f64 #s(literal -3 binary64) x.im) |
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) |
(pow.f64 x.re #s(literal 3 binary64)) |
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re (pow.f64 x.re #s(literal 3 binary64))) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re (pow.f64 x.re #s(literal 3 binary64))) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re (pow.f64 x.re #s(literal 3 binary64))) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3)) |
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im)) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re))) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im) |
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re (pow.f64 x.re #s(literal 3 binary64))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re))) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im) |
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re (pow.f64 x.re #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 195 |
| 0 | 47 | 195 |
| 1 | 182 | 175 |
| 0 | 1041 | 170 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) |
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) |
(*.f64 x.im x.im) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im)) |
(*.f64 (*.f64 x.re x.im) x.im) |
(*.f64 x.re x.im) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))) |
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im)) |
(*.f64 #s(literal -3 binary64) x.im) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) |
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) |
#s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) |
(pow.f64 x.re #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)) |
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) |
(*.f64 x.re (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))) |
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) x.re) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 x.re (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))) |
(/.f64 (*.f64 x.re (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im (pow.f64 x.re #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re (pow.f64 x.re #s(literal 3 binary64))) |
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re) (pow.f64 x.re #s(literal 3 binary64))) |
(fma.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64))) |
(fma.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64))) |
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))) |
(fma.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64))) |
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im) (pow.f64 x.re #s(literal 3 binary64))) |
(fma.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (pow.f64 x.re #s(literal 3 binary64))) |
(fma.f64 x.re (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) (pow.f64 x.re #s(literal 3 binary64))) |
(fma.f64 x.re (*.f64 x.re x.re) (*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))) |
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)))) |
(*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (-.f64 (*.f64 x.re x.re) (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im)) |
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) |
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) |
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) |
(fma.f64 x.im (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.re)) |
(fma.f64 x.re x.re (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im)) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)))) |
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) (*.f64 x.re x.re)) |
(+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im)) |
(*.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64))) |
(*.f64 x.im x.im) |
(pow.f64 x.im #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 2 binary64))) |
#s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im x.im)) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re) |
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)) |
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)) |
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re)) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)) |
(*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)) |
(*.f64 x.re (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im)) |
(*.f64 (*.f64 x.im x.re) x.im) |
(*.f64 (*.f64 x.im x.im) x.re) |
(*.f64 x.im (*.f64 x.im x.re)) |
(*.f64 x.re (*.f64 x.im x.im)) |
(*.f64 x.im x.re) |
(*.f64 x.re x.im) |
#s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im x.im)) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re) |
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)) |
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)) |
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re)) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)) |
(*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)) |
(*.f64 x.re (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im)) |
(*.f64 #s(literal -3 binary64) x.im) |
(*.f64 x.im #s(literal -3 binary64)) |
#s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im x.im)) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re) |
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)) |
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)) |
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re)) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)) |
(*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)) |
(*.f64 x.re (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im)) |
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) |
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) |
(*.f64 x.im (*.f64 #s(literal -3 binary64) x.im)) |
#s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) |
(*.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64))) |
(*.f64 (*.f64 x.re x.re) x.re) |
(*.f64 x.re (*.f64 x.re x.re)) |
(pow.f64 (exp.f64 (log.f64 x.re)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x.re #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x.re x.re) #s(literal 3/2 binary64)) |
(pow.f64 x.re #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 3 binary64))) |
Compiled 3 183 to 309 computations (90.3% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 98 | 2 | 100 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 0 | 1 |
| Total | 102 | 8 | 110 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.0% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
| ✓ | 43.4% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)) |
| ▶ | 48.4% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)) |
| ▶ | 43.4% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) |
| ▶ | 64.4% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) |
| ▶ | 48.4% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) |
| ✓ | 48.5% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
| ✓ | 64.5% | #s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) |
Compiled 223 to 129 computations (42.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -3 binary64) x.im) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im) | |
| cost-diff | 0 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)) | |
| cost-diff | 0 | (*.f64 x.re #s(literal -3 binary64)) | |
| cost-diff | 0 | (*.f64 x.im x.im) | |
| cost-diff | 0 | (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))) | |
| cost-diff | 0 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) | |
| cost-diff | 0 | (*.f64 x.re x.re) | |
| cost-diff | 0 | #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re) | |
| cost-diff | 0 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) | |
| cost-diff | 0 | (*.f64 x.re x.im) | |
| cost-diff | 0 | (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) | |
| cost-diff | 0 | (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64))) | |
| cost-diff | 0 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 200 |
| 0 | 41 | 200 |
| 1 | 79 | 192 |
| 2 | 133 | 192 |
| 3 | 270 | 168 |
| 4 | 711 | 168 |
| 5 | 2220 | 168 |
| 6 | 4351 | 168 |
| 7 | 6340 | 168 |
| 8 | 7409 | 168 |
| 9 | 7734 | 168 |
| 10 | 7773 | 168 |
| 11 | 7773 | 168 |
| 0 | 8069 | 161 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) |
(*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64))) |
x.im |
(*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) |
(*.f64 x.re x.im) |
x.re |
#s(literal -3 binary64) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) |
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re) |
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) |
(*.f64 x.re x.re) |
x.re |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))) |
(*.f64 x.im x.im) |
x.im |
(*.f64 x.re #s(literal -3 binary64)) |
x.re |
#s(literal -3 binary64) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) 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 |
x.re |
| Outputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))) |
(*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64))) |
(*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)) |
x.im |
(*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
x.re |
#s(literal -3 binary64) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) |
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re) |
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) |
(*.f64 x.re x.re) |
x.re |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))) |
(*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)) |
(*.f64 x.im x.im) |
x.im |
(*.f64 x.re #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) x.re) |
x.re |
#s(literal -3 binary64) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im) |
(*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)) |
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) |
(*.f64 #s(literal -3 binary64) x.im) |
#s(literal -3 binary64) |
x.im |
x.re |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal -3 binary64) x.im) | |
| accuracy | 0.125 | (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im) | |
| accuracy | 0.21484375 | (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) | |
| accuracy | 32.93320288306884 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)) | |
| accuracy | 0.0 | (*.f64 x.re #s(literal -3 binary64)) | |
| accuracy | 0.0 | (*.f64 x.im x.im) | |
| accuracy | 8.290545376033071 | (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))) | |
| accuracy | 32.93320288306884 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) | |
| accuracy | 0.0 | (*.f64 x.re x.re) | |
| accuracy | 0.0 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) | |
| accuracy | 3.359301878914465 | (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re) | |
| accuracy | 25.30454489705169 | #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) | |
| accuracy | 0.0 | (*.f64 x.re x.im) | |
| accuracy | 0.125 | (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64))) | |
| accuracy | 0.2578125 | (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) | |
| accuracy | 32.93320288306884 | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) |
| 87.0ms | 256× | 0 | valid |
Compiled 354 to 55 computations (84.5% saved)
ival-mult: 22.0ms (79.9% of total)ival-sub: 2.0ms (7.3% of total)ival-add: 2.0ms (7.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) |
(*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64))) |
(*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) |
(*.f64 x.re x.im) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) |
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re) |
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) |
(*.f64 x.re x.re) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))) |
(*.f64 x.im x.im) |
(*.f64 x.re #s(literal -3 binary64)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im) |
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) |
(*.f64 #s(literal -3 binary64) x.im) |
| Outputs |
|---|
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* x.im x.re)) |
(* x.im x.re) |
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2))) |
(* -3 (pow x.im 2)) |
(+ (* -3 (pow x.im 2)) (pow x.re 2)) |
(pow x.re 2) |
(* -3 x.re) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(pow x.im 2) |
(* -3 x.im) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x.re | @ | 0 | ((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* x.re x.im) -3)) (* (* x.re x.im) -3) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im)) |
| 2.0ms | x.re | @ | -inf | ((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* x.re x.im) -3)) (* (* x.re x.im) -3) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im)) |
| 2.0ms | x.re | @ | inf | ((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* x.re x.im) -3)) (* (* x.re x.im) -3) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im)) |
| 2.0ms | x.im | @ | -inf | ((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* x.re x.im) -3)) (* (* x.re x.im) -3) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im)) |
| 2.0ms | x.im | @ | inf | ((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* x.re x.im) -3)) (* (* x.re x.im) -3) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 236 |
| 1 | 177 | 186 |
| 2 | 517 | 186 |
| 3 | 2253 | 186 |
| 4 | 7207 | 186 |
| 0 | 8204 | 173 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(* -3 (* (pow x.im 2) x.re)) |
(* -3 (* x.im x.re)) |
(* x.im x.re) |
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2))) |
(* -3 (pow x.im 2)) |
(+ (* -3 (pow x.im 2)) (pow x.re 2)) |
(pow x.re 2) |
(* -3 x.re) |
(pow x.re 3) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(pow x.im 2) |
(* -3 x.im) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3)) |
| Outputs |
|---|
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) |
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) |
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) |
(* -3 (* (pow x.im 2) x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) |
(* -3 (* x.im x.re)) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2))) |
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) |
(* -3 (pow x.im 2)) |
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) |
(+ (* -3 (pow x.im 2)) (pow x.re 2)) |
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(* -3 x.re) |
(*.f64 #s(literal -3 binary64) x.re) |
(pow x.re 3) |
(pow.f64 x.re #s(literal 3 binary64)) |
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) |
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) |
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) |
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))) |
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) |
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) |
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) |
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1))) |
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) |
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) |
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) |
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) |
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(* -3 x.im) |
(*.f64 #s(literal -3 binary64) x.im) |
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) |
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) |
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) |
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) |
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))) |
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3)) |
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 190 |
| 0 | 41 | 190 |
| 1 | 134 | 174 |
| 0 | 763 | 167 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) |
(*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64))) |
(*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) |
(*.f64 x.re x.im) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) |
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re) |
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) |
(*.f64 x.re x.re) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) |
(*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))) |
(*.f64 x.im x.im) |
(*.f64 x.re #s(literal -3 binary64)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)) |
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im) |
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) |
(*.f64 #s(literal -3 binary64) x.im) |
| Outputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im)) |
(*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)) |
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im x.im)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)) |
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)) |
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re)) |
(*.f64 x.im (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))) |
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) |
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) |
(*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) |
(*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) |
(*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) |
(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) |
(*.f64 x.im x.re) |
(*.f64 x.re x.im) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) |
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re) |
(*.f64 x.re #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re))) |
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) |
(*.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))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im)) |
(*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)) |
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im x.im)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)) |
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)) |
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re)) |
(*.f64 x.im (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))) |
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) |
(*.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64))) |
(*.f64 x.im x.im) |
(pow.f64 x.im #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 2 binary64))) |
(*.f64 #s(literal -3 binary64) x.re) |
(*.f64 x.re #s(literal -3 binary64)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im)) |
(*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)) |
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im x.im)) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)) |
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)) |
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re)) |
(*.f64 x.im (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))) |
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) |
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) |
(*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) |
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) |
(*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) |
(*.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)) |
Compiled 1 451 to 150 computations (89.7% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 0 | 48 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 4 | 4 |
| Total | 48 | 8 | 56 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.0% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
| ✓ | 43.4% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)) |
| ✓ | 48.4% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)) |
| ✓ | 43.4% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) |
| ✓ | 64.4% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) |
| ✓ | 48.4% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) |
| ✓ | 48.5% | #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
| ✓ | 64.5% | #s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) |
Compiled 789 to 249 computations (68.4% saved)
| Inputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) |
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) |
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (neg.f64 (*.f64 x.im x.re)) (neg.f64 (*.f64 x.im x.re))) x.im)) |
#s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re) (pow.f64 x.re #s(literal 3 binary64)))) |
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) x.im)) |
(-.f64 (*.f64 (/.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))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (*.f64 (*.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))))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| Outputs |
|---|
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) |
3 calls:
| 42.0ms | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 6.0ms | x.re |
| 6.0ms | x.im |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x.re |
| 97.1% | 2 | x.im |
| 99.8% | 2 | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) |
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) |
| Outputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) |
2 calls:
| 31.0ms | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| 4.0ms | x.re |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | x.re |
| 99.8% | 3 | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) |
| Outputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) |
2 calls:
| 3.0ms | x.re |
| 3.0ms | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 3 | x.re |
| 97.7% | 2 | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
| Outputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) |
3 calls:
| 1.0ms | x.re |
| 1.0ms | x.im |
| 1.0ms | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.4% | 2 | x.re |
| 80.1% | 2 | x.im |
| 92.5% | 2 | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
Compiled 21 to 15 computations (28.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) |
| Outputs |
|---|
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) |
3 calls:
| 56.0ms | x.re |
| 1.0ms | x.im |
| 1.0ms | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.4% | 1 | x.re |
| 64.4% | 1 | x.im |
| 64.4% | 1 | (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) |
Compiled 21 to 15 computations (28.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.344650728157577e+235 | 6.804442721933871e+283 |
Compiled 22 to 16 computations (27.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.344650728157577e+235 | 6.804442721933871e+283 |
| 0.0ms | -8.495242023507096e-153 | -2.2945626862131497e-159 |
Compiled 22 to 16 computations (27.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -8.878503738673984e-285 | -0.0 |
Compiled 22 to 16 computations (27.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -8.878503738673984e-285 | -0.0 |
Compiled 22 to 16 computations (27.3% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 369 |
| 1 | 90 | 355 |
| 2 | 157 | 355 |
| 3 | 335 | 327 |
| 4 | 800 | 327 |
| 5 | 2339 | 327 |
| 6 | 4443 | 327 |
| 7 | 7704 | 327 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 100000000000000005316601966265964903560338945752451009733569729870438915222921655945950042913493049090257216818125120939629504451380536538731692163090204038766991703973342235134497506837628332312354637835291480672112369305703591381565440 binary64)) (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))) |
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) (if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 100000000000000005316601966265964903560338945752451009733569729870438915222921655945950042913493049090257216818125120939629504451380536538731692163090204038766991703973342235134497506837628332312354637835291480672112369305703591381565440 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))) |
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -6696928794914171/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))) |
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -6696928794914171/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 100000000000000005316601966265964903560338945752451009733569729870438915222921655945950042913493049090257216818125120939629504451380536538731692163090204038766991703973342235134497506837628332312354637835291480672112369305703591381565440 binary64)) (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))) |
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) (if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 100000000000000005316601966265964903560338945752451009733569729870438915222921655945950042913493049090257216818125120939629504451380536538731692163090204038766991703973342235134497506837628332312354637835291480672112369305703591381565440 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))) |
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -6696928794914171/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))) |
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -6696928794914171/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))) |
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 363 |
| 1 | 405 | 283 |
| 2 | 1332 | 283 |
| 3 | 5452 | 283 |
| 0 | 8452 | 264 |
| 0 | 173 | 658 |
| 1 | 569 | 486 |
| 2 | 1875 | 432 |
| 3 | 6177 | 432 |
| 0 | 8659 | 416 |
| 0 | 11 | 54 |
| 0 | 20 | 54 |
| 1 | 83 | 42 |
| 0 | 576 | 41 |
| 0 | 56 | 190 |
| 1 | 169 | 170 |
| 2 | 544 | 170 |
| 3 | 2210 | 170 |
| 4 | 6085 | 170 |
| 0 | 8211 | 165 |
| 0 | 45 | 223 |
| 0 | 71 | 185 |
| 1 | 282 | 157 |
| 0 | 1990 | 152 |
| 1× | done |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 664 to 235 computations (64.6% saved)
(abs x.im)
Compiled 1 488 to 392 computations (73.7% saved)
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