
Time bar (total: 6.7s)
| 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 9 to 8 computations (11.1% saved)
| 529.0ms | 8 256× | 0 | valid |
ival-pow: 268.0ms (83.5% of total)ival-sub: 39.0ms (12.2% of total)ival-true: 6.0ms (1.9% of total)exact: 5.0ms (1.6% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 30 | 0 | - | 0 | - | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (pow.f64 x #s(literal 4 binary64)) |
| 0 | 0 | - | 0 | - | (pow.f64 y #s(literal 4 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) | nan-rescue | 30 | 0 |
| ↳ | (pow.f64 x #s(literal 4 binary64)) | overflow | 95 | |
| ↳ | (pow.f64 y #s(literal 4 binary64)) | overflow | 89 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 30 | 0 |
| - | 0 | 226 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 30 | 0 | 0 |
| - | 0 | 0 | 226 |
| number | freq |
|---|---|
| 0 | 226 |
| 1 | 30 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 34.0ms | 512× | 0 | valid |
Compiled 43 to 22 computations (48.8% saved)
ival-pow: 14.0ms (64.8% of total)ival-sub: 6.0ms (27.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 90× | sub-neg |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 48× | lower-*.f64 |
| 48× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 41 |
| 1 | 30 | 41 |
| 2 | 68 | 39 |
| 3 | 121 | 39 |
| 4 | 213 | 39 |
| 5 | 333 | 39 |
| 6 | 376 | 39 |
| 7 | 396 | 39 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 11 | 7 |
| 2 | 16 | 7 |
| 3 | 22 | 7 |
| 4 | 30 | 7 |
| 5 | 45 | 7 |
| 6 | 78 | 7 |
| 7 | 103 | 7 |
| 8 | 145 | 7 |
| 9 | 160 | 7 |
| 10 | 168 | 7 |
| 0 | 168 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| Outputs |
|---|
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.3% | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y #s(literal 4 binary64)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 48× | lower-*.f64 |
| 48× | lower-*.f32 |
| 32× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 11 | 16 |
| 2 | 16 | 16 |
| 3 | 22 | 16 |
| 4 | 30 | 16 |
| 5 | 45 | 16 |
| 6 | 78 | 16 |
| 7 | 103 | 16 |
| 8 | 145 | 16 |
| 9 | 160 | 16 |
| 10 | 168 | 16 |
| 0 | 168 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(pow.f64 y #s(literal 4 binary64)) |
y |
| Outputs |
|---|
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(pow.f64 y #s(literal 4 binary64)) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 y #s(literal 4 binary64)) | |
| accuracy | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 6.691377351622882 | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| 21.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-pow: 7.0ms (80.7% of total)ival-sub: 1.0ms (11.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow x 4) (taylor 0 y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 4)) (taylor inf y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor inf y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor inf y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor inf y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor inf y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor inf y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor inf y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor inf y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 4)) (taylor -inf y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor -inf y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor -inf y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor -inf y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor -inf y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor -inf y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor -inf y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor -inf y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 4)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x 4) (pow y 4)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x 4) (pow y 4)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x 4) (pow y 4)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4)) |
| 1.0ms | y | @ | 0 | ((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4)) |
| 1.0ms | y | @ | inf | ((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4)) |
| 1.0ms | y | @ | -inf | ((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4)) |
| 1.0ms | x | @ | inf | ((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4)) |
| 1× | egg-herbie |
| 19 848× | lower-fma.f64 |
| 19 848× | lower-fma.f32 |
| 4 256× | lower-*.f64 |
| 4 256× | lower-*.f32 |
| 1 584× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 219 |
| 1 | 37 | 219 |
| 2 | 67 | 219 |
| 3 | 168 | 219 |
| 4 | 343 | 219 |
| 5 | 621 | 219 |
| 6 | 2846 | 219 |
| 7 | 5704 | 219 |
| 0 | 8227 | 219 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 4) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(* -1 (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
| Outputs |
|---|
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(* -1 (pow y 4)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(* -1 (pow y 4)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(* -1 (pow y 4)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(- (pow x 4) (pow y 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(- (pow x 4) (pow y 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(- (pow x 4) (pow y 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
| 7 422× | lower-fma.f64 |
| 7 422× | lower-fma.f32 |
| 3 996× | lower-*.f64 |
| 3 996× | lower-*.f32 |
| 3 822× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 36 | 13 |
| 2 | 225 | 13 |
| 3 | 1989 | 13 |
| 0 | 8607 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 y #s(literal 4 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 36 binary64)) (pow.f64 y #s(literal 36 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 24 binary64)))) (fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 16 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 36 binary64)) (pow.f64 y #s(literal 36 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))))))) |
(*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 36 binary64)) (pow.f64 y #s(literal 36 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (pow.f64 y #s(literal 12 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y y (*.f64 x x))) |
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) |
(*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) |
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 36 binary64)) (pow.f64 y #s(literal 36 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (pow.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (pow.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64))))))) |
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))))) (/.f64 (pow.f64 y #s(literal 16 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 24 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64))))) (/.f64 (pow.f64 y #s(literal 24 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 24 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))))) (/.f64 (pow.f64 y #s(literal 24 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 36 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64))))) (/.f64 (pow.f64 y #s(literal 36 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 16 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 16 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 24 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 24 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 24 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))) (/.f64 (/.f64 (pow.f64 y #s(literal 24 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 36 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))) (/.f64 (/.f64 (pow.f64 y #s(literal 36 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64))))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 24 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 24 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 36 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 36 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))) |
(+.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(+.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) y) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 y y) (*.f64 y y)) |
(*.f64 y (pow.f64 y #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 y))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 y)) |
(pow.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 4 binary64)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 y))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) |
Compiled 8 315 to 665 computations (92% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 271 | 5 | 276 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 272 | 5 | 277 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.3% | (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
| ▶ | 13.2% | (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
| ▶ | 99.8% | (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
| ▶ | 58.6% | #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) |
| ▶ | 56.4% | #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
Compiled 98 to 74 computations (24.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y #s(literal 8 binary64)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 8 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | -5504 | (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) | |
| cost-diff | 0 | (pow.f64 y #s(literal 4 binary64)) | |
| cost-diff | 0 | (neg.f64 (pow.f64 y #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (pow.f64 y #s(literal 4 binary64)) | |
| cost-diff | 0 | (neg.f64 (pow.f64 y #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) (-.f64 x y)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 y y (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
| 18 956× | lower-fma.f32 |
| 18 952× | lower-fma.f64 |
| 3 614× | lower-+.f32 |
| 3 610× | lower-+.f64 |
| 3 242× | lower--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 144 |
| 0 | 40 | 144 |
| 1 | 65 | 142 |
| 2 | 128 | 140 |
| 3 | 446 | 140 |
| 4 | 1441 | 140 |
| 5 | 4787 | 140 |
| 0 | 8386 | 140 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(+.f64 x y) |
(-.f64 x y) |
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
(fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 x x) |
x |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) |
(pow.f64 x #s(literal 8 binary64)) |
x |
#s(literal 8 binary64) |
(pow.f64 y #s(literal 8 binary64)) |
y |
(+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))) (+.f64 x y)) |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(+.f64 x y) |
(-.f64 x y) |
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
(fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(*.f64 x x) |
x |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) |
(pow.f64 x #s(literal 8 binary64)) |
x |
#s(literal 8 binary64) |
(pow.f64 y #s(literal 8 binary64)) |
y |
(+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0 | (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 10.031206652434326 | (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) | |
| accuracy | 51.26243315446526 | (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 0 | (pow.f64 y #s(literal 4 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (neg.f64 (pow.f64 y #s(literal 4 binary64))) | |
| accuracy | 4.843732110192356 | (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) | |
| accuracy | 0 | (pow.f64 y #s(literal 4 binary64)) | |
| accuracy | 0 | (neg.f64 (pow.f64 y #s(literal 4 binary64))) | |
| accuracy | 27.923471222886917 | #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) | |
| accuracy | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 26.492280520426366 | #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0 | (*.f64 (+.f64 x y) (-.f64 x y)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (fma.f64 y y (*.f64 x x)) | |
| accuracy | 0.12109375 | (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
| 49.0ms | 256× | 0 | valid |
Compiled 140 to 24 computations (82.9% saved)
ival-pow: 14.0ms (40.6% of total)ival-mult: 10.0ms (29% of total)ival-add: 4.0ms (11.6% of total)ival-sub: 3.0ms (8.7% of total)ival-div: 2.0ms (5.8% of total)ival-neg: 1.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) (patch #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (pow.f64 y #s(literal 4 binary64))) (patch (neg.f64 (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (patch (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 y #s(literal 8 binary64)) (patch (pow.f64 y #s(literal 8 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow x 4) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (* -1 x))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) (patch #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) (patch #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) (patch #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) (patch #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 4)) (taylor 0 y) (#s(alt (neg.f64 (pow.f64 y #s(literal 4 binary64))) (patch (neg.f64 (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 4)) (taylor 0 y) (#s(alt (neg.f64 (pow.f64 y #s(literal 4 binary64))) (patch (neg.f64 (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 4)) (taylor 0 y) (#s(alt (neg.f64 (pow.f64 y #s(literal 4 binary64))) (patch (neg.f64 (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 4)) (taylor 0 y) (#s(alt (neg.f64 (pow.f64 y #s(literal 4 binary64))) (patch (neg.f64 (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 y) (#s(alt (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 8) (taylor 0 y) (#s(alt (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (patch (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 8) (taylor 0 y) (#s(alt (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (patch (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 8)) (pow x 8)) (taylor 0 y) (#s(alt (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (patch (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 8)) (pow x 8)) (taylor 0 y) (#s(alt (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (patch (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 8) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 8 binary64)) (patch (pow.f64 y #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 8) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 8 binary64)) (patch (pow.f64 y #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 8) (+ 1 (* -1 (/ (pow y 8) (pow x 8))))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (patch (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 8) (+ 1 (* -1 (/ (pow y 8) (pow x 8))))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (patch (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 8) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 8) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 8) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 8) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (- (pow x 4) (pow y 4)) (pow x 4) (- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (+ (* (* x x) (* x x)) (neg (pow y 4))) (/ (- (pow x 8) (pow y 8)) (+ (pow y 4) (pow x 4))) (- (pow x 8) (pow y 8)) (pow x 8) (pow y 8) (+ (pow y 4) (pow x 4))) |
| 3.0ms | x | @ | -inf | ((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (- (pow x 4) (pow y 4)) (pow x 4) (- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (+ (* (* x x) (* x x)) (neg (pow y 4))) (/ (- (pow x 8) (pow y 8)) (+ (pow y 4) (pow x 4))) (- (pow x 8) (pow y 8)) (pow x 8) (pow y 8) (+ (pow y 4) (pow x 4))) |
| 2.0ms | x | @ | inf | ((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (- (pow x 4) (pow y 4)) (pow x 4) (- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (+ (* (* x x) (* x x)) (neg (pow y 4))) (/ (- (pow x 8) (pow y 8)) (+ (pow y 4) (pow x 4))) (- (pow x 8) (pow y 8)) (pow x 8) (pow y 8) (+ (pow y 4) (pow x 4))) |
| 2.0ms | x | @ | 0 | ((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (- (pow x 4) (pow y 4)) (pow x 4) (- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (+ (* (* x x) (* x x)) (neg (pow y 4))) (/ (- (pow x 8) (pow y 8)) (+ (pow y 4) (pow x 4))) (- (pow x 8) (pow y 8)) (pow x 8) (pow y 8) (+ (pow y 4) (pow x 4))) |
| 2.0ms | y | @ | 0 | ((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (- (pow x 4) (pow y 4)) (pow x 4) (- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (+ (* (* x x) (* x x)) (neg (pow y 4))) (/ (- (pow x 8) (pow y 8)) (+ (pow y 4) (pow x 4))) (- (pow x 8) (pow y 8)) (pow x 8) (pow y 8) (+ (pow y 4) (pow x 4))) |
| 1× | egg-herbie |
| 24 306× | lower-fma.f64 |
| 24 306× | lower-fma.f32 |
| 5 334× | lower-+.f64 |
| 5 334× | lower-+.f32 |
| 4 246× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 205 | 2196 |
| 1 | 661 | 2083 |
| 2 | 2199 | 2006 |
| 0 | 8204 | 1981 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 4) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(pow x 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(pow x 4) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(pow x 4) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(* -1 (pow y 4)) |
(* -1 (pow y 4)) |
(* -1 (pow y 4)) |
(* -1 (pow y 4)) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow x 4) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(pow x 4) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(pow x 8) |
(pow x 8) |
(+ (* -1 (pow y 8)) (pow x 8)) |
(+ (* -1 (pow y 8)) (pow x 8)) |
(pow y 8) |
(pow y 8) |
(pow y 8) |
(pow y 8) |
(pow x 4) |
(+ (pow x 4) (pow y 4)) |
(+ (pow x 4) (pow y 4)) |
(+ (pow x 4) (pow y 4)) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* -1 (pow y 4)) |
(* -1 (pow y 4)) |
(* -1 (pow y 4)) |
(* -1 (pow y 4)) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* -1 (pow y 8)) |
(* -1 (pow y 8)) |
(* (pow y 8) (- (/ (pow x 8) (pow y 8)) 1)) |
(* (pow y 8) (- (/ (pow x 8) (pow y 8)) 1)) |
(pow y 8) |
(pow y 8) |
(pow y 8) |
(pow y 8) |
(pow y 4) |
(* (pow y 4) (+ 1 (/ (pow x 4) (pow y 4)))) |
(* (pow y 4) (+ 1 (/ (pow x 4) (pow y 4)))) |
(* (pow y 4) (+ 1 (/ (pow x 4) (pow y 4)))) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* -1 (pow y 4)) |
(* -1 (pow y 4)) |
(* -1 (pow y 4)) |
(* -1 (pow y 4)) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* -1 (pow y 8)) |
(* -1 (pow y 8)) |
(* (pow y 8) (- (/ (pow x 8) (pow y 8)) 1)) |
(* (pow y 8) (- (/ (pow x 8) (pow y 8)) 1)) |
(pow y 8) |
(pow y 8) |
(pow y 8) |
(pow y 8) |
(pow y 4) |
(* (pow y 4) (+ 1 (/ (pow x 4) (pow y 4)))) |
(* (pow y 4) (+ 1 (/ (pow x 4) (pow y 4)))) |
(* (pow y 4) (+ 1 (/ (pow x 4) (pow y 4)))) |
(* -1 (pow y 4)) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3)))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3))))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3))))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(* -1 (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* -1 (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(* -1 (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(* -1 (pow y 4)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(* -1 (pow y 8)) |
(* -1 (pow y 8)) |
(- (pow x 8) (pow y 8)) |
(- (pow x 8) (pow y 8)) |
(pow x 8) |
(pow x 8) |
(pow x 8) |
(pow x 8) |
(pow y 4) |
(+ (pow x 4) (pow y 4)) |
(+ (pow x 4) (pow y 4)) |
(+ (pow x 4) (pow y 4)) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(pow x 8) |
(pow x 8) |
(* (pow x 8) (+ 1 (* -1 (/ (pow y 8) (pow x 8))))) |
(* (pow x 8) (+ 1 (* -1 (/ (pow y 8) (pow x 8))))) |
(pow x 8) |
(pow x 8) |
(pow x 8) |
(pow x 8) |
(pow x 4) |
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) |
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) |
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(pow x 8) |
(pow x 8) |
(* (pow x 8) (+ 1 (* -1 (/ (pow y 8) (pow x 8))))) |
(* (pow x 8) (+ 1 (* -1 (/ (pow y 8) (pow x 8))))) |
(pow x 8) |
(pow x 8) |
(pow x 8) |
(pow x 8) |
(pow x 4) |
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) |
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) |
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) |
| Outputs |
|---|
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 2) |
(*.f64 x x) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(*.f64 x x) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* -1 (pow y 4)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* -1 (pow y 4)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* -1 (pow y 4)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* -1 (pow y 4)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(pow y 4) |
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(pow.f64 y #s(literal 4 binary64)) |
(+ (pow x 4) (pow y 4)) |
(+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(+ (pow x 4) (pow y 4)) |
(+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(+ (pow x 4) (pow y 4)) |
(+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(pow x 8) |
(pow.f64 x #s(literal 8 binary64)) |
(pow x 8) |
(pow.f64 x #s(literal 8 binary64)) |
(* (pow x 8) (+ 1 (* -1 (/ (pow y 8) (pow x 8))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1 (* -1 (/ (pow y 8) (pow x 8))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 8 binary64))) |
(pow x 8) |
(pow.f64 x #s(literal 8 binary64)) |
(pow x 8) |
(pow.f64 x #s(literal 8 binary64)) |
(pow x 8) |
(pow.f64 x #s(literal 8 binary64)) |
(pow x 8) |
(pow.f64 x #s(literal 8 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) |
(*.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) |
(*.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) |
(*.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(pow x 8) |
(pow.f64 x #s(literal 8 binary64)) |
(pow x 8) |
(pow.f64 x #s(literal 8 binary64)) |
(* (pow x 8) (+ 1 (* -1 (/ (pow y 8) (pow x 8))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1 (* -1 (/ (pow y 8) (pow x 8))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 8 binary64))) |
(pow x 8) |
(pow.f64 x #s(literal 8 binary64)) |
(pow x 8) |
(pow.f64 x #s(literal 8 binary64)) |
(pow x 8) |
(pow.f64 x #s(literal 8 binary64)) |
(pow x 8) |
(pow.f64 x #s(literal 8 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) |
(*.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) |
(*.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) |
(*.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
| 7 736× | lower-fma.f32 |
| 7 732× | lower-fma.f64 |
| 3 824× | lower-*.f32 |
| 3 818× | lower-*.f64 |
| 3 620× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 109 |
| 0 | 40 | 119 |
| 1 | 172 | 91 |
| 2 | 1196 | 88 |
| 0 | 9547 | 88 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) |
(pow.f64 x #s(literal 8 binary64)) |
(pow.f64 y #s(literal 8 binary64)) |
(+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (*.f64 x y) #s(literal 8 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 16 binary64)) (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (*.f64 x y) #s(literal 8 binary64)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (*.f64 x y) #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64))))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64)) (+.f64 x y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64)) (-.f64 x y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x)))) |
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(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
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(-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 12 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 16 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))))) (/.f64 (pow.f64 y #s(literal 16 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 24 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 16 binary64)) (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (*.f64 x y) #s(literal 8 binary64)))))) (/.f64 (pow.f64 y #s(literal 24 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 16 binary64)) (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (*.f64 x y) #s(literal 8 binary64))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 16 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 16 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 24 binary64)) (-.f64 (pow.f64 x #s(literal 16 binary64)) (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (*.f64 x y) #s(literal 8 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 24 binary64)) (-.f64 (pow.f64 x #s(literal 16 binary64)) (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (*.f64 x y) #s(literal 8 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64)))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))) (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64)))) (pow.f64 y #s(literal 8 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64)))) (pow.f64 y #s(literal 8 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64)))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)) x) (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)) y)) |
(+.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)) y) (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)) x)) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal 8 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 8 binary64)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 8 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal 8 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (neg.f64 y)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 x x)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) |
(+.f64 (*.f64 (-.f64 x y) (*.f64 x (fma.f64 y y (*.f64 x x)))) (*.f64 (-.f64 x y) (*.f64 y (fma.f64 y y (*.f64 x x))))) |
(+.f64 (*.f64 (-.f64 x y) (*.f64 y (fma.f64 y y (*.f64 x x)))) (*.f64 (-.f64 x y) (*.f64 x (fma.f64 y y (*.f64 x x))))) |
(+.f64 (*.f64 (-.f64 x y) (*.f64 (fma.f64 y y (*.f64 x x)) x)) (*.f64 (-.f64 x y) (*.f64 (fma.f64 y y (*.f64 x x)) y))) |
(+.f64 (*.f64 (-.f64 x y) (*.f64 (fma.f64 y y (*.f64 x x)) y)) (*.f64 (-.f64 x y) (*.f64 (fma.f64 y y (*.f64 x x)) x))) |
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y (-.f64 x y)))) |
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x (-.f64 x y)))) |
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x (+.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (neg.f64 y) (+.f64 x y)))) |
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 x y) x)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 x y) y))) |
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 x y) y)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 x y) x))) |
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) x)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (neg.f64 y)))) |
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (neg.f64 y) y))) |
(+.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(+.f64 (*.f64 x (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) (*.f64 (neg.f64 y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))) |
(+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (neg.f64 y)) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) x)) |
(+.f64 (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) x) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (neg.f64 y))) |
(+.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 x x)) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))))) |
(+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(+.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
Compiled 64 430 to 2 904 computations (95.5% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 398 | 9 | 2 407 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 401 | 11 | 2 412 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) |
| 93.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))))) | |
| 97.1% | (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 (-.f64 x y) y (*.f64 (-.f64 x y) x))) | |
| ▶ | 94.6% | (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) |
| ▶ | 99.8% | (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) |
| ▶ | 99.8% | (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) |
| 94.2% | (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y))) | |
| ✓ | 58.6% | #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) |
| 56.3% | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) | |
| ▶ | 58.5% | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) |
| ✓ | 56.4% | #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
Compiled 295 to 173 computations (41.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y y (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) | |
| cost-diff | 832 | (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) | |
| cost-diff | 896 | (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (*.f64 (-.f64 x y) (+.f64 x y)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) (-.f64 x y)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 x x (*.f64 y y)) | |
| cost-diff | -5504 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| cost-diff | 0 | (fma.f64 y y (*.f64 x x)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) | |
| cost-diff | 0 | (-.f64 x y) |
| 15 400× | lower-fma.f32 |
| 15 394× | lower-fma.f64 |
| 3 638× | lower-*.f32 |
| 3 616× | lower-*.f64 |
| 1 936× | lower-+.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 246 |
| 0 | 51 | 239 |
| 1 | 98 | 235 |
| 2 | 245 | 231 |
| 3 | 787 | 231 |
| 4 | 2466 | 222 |
| 5 | 4777 | 197 |
| 0 | 8084 | 197 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) |
(-.f64 x y) |
x |
y |
(*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) |
(+.f64 x y) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(fma.f64 x x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(+.f64 x y) |
(-.f64 x y) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(-.f64 x y) |
x |
y |
(+.f64 x y) |
(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) |
#s(literal 1 binary64) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 x y) |
#s(literal -1 binary64) |
| Outputs |
|---|
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(-.f64 x y) |
x |
y |
(*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) |
(*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 x x) |
x |
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(fma.f64 x x (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
x |
(*.f64 y y) |
y |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(+.f64 x y) |
(+.f64 y x) |
(-.f64 x y) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(-.f64 x y) |
x |
y |
(+.f64 x y) |
(+.f64 y x) |
(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) |
#s(literal 1 binary64) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) |
(*.f64 #s(approx (* (+ x y) (- x y)) (*.f64 (+.f64 y x) (-.f64 x y))) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)) |
#s(approx (* (+ x y) (- x y)) (*.f64 (+.f64 y x) (-.f64 x y))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) |
(fma.f64 (/.f64 x y) x (neg.f64 y)) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -1 binary64)) |
(/.f64 x y) |
#s(literal -1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) | |
| accuracy | 0.12109375 | (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) | |
| accuracy | 2.6626857271231255 | (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) | |
| accuracy | 4.051695596080037 | (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (fma.f64 y y (*.f64 x x)) | |
| accuracy | 0.10775375976844201 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) | |
| accuracy | 0.2422371328237418 | (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) | |
| accuracy | 0 | (*.f64 (+.f64 x y) (-.f64 x y)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.00390625 | (fma.f64 x x (*.f64 y y)) | |
| accuracy | 0.12109375 | (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.08203125 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| accuracy | 26.492280520426366 | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (fma.f64 y y (*.f64 x x)) | |
| accuracy | 0.0703125 | (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) | |
| accuracy | 0.1015625 | (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) |
| 100.0ms | 256× | 0 | valid |
Compiled 227 to 30 computations (86.8% saved)
ival-pow: 29.0ms (45.2% of total)ival-mult: 21.0ms (32.7% of total)ival-add: 6.0ms (9.4% of total)ival-div: 5.0ms (7.8% of total)ival-sub: 3.0ms (4.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x (*.f64 y y)) (patch (fma.f64 x x (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) (patch (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x 2) y) (pow x 3)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* x y) (pow x 2))) (pow x 3)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 x x (*.f64 y y)) (patch (fma.f64 x x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 x x (*.f64 y y)) (patch (fma.f64 x x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 x x (*.f64 y y)) (patch (fma.f64 x x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 x x (*.f64 y y)) (patch (fma.f64 x x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (* -1 x))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (* -1 x))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow y 2) (- (/ (pow y 2) (pow x 6)) (/ 1 (pow x 4)))) (/ 1 (pow x 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (pow y 2)) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (pow y 2)) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (pow y 2)) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((- x y) (* (+ x y) (+ (* y y) (* x x))) (+ x y) (+ (* y y) (* x x)) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (+ (* x x) (* y y)) (* y y) (* (+ x y) (- x y)) (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x))) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (- x y) (* (+ x y) (+ (* y y) (* x x)))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (+ (* (/ x y) (/ x y)) -1)) |
| 2.0ms | y | @ | inf | ((- x y) (* (+ x y) (+ (* y y) (* x x))) (+ x y) (+ (* y y) (* x x)) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (+ (* x x) (* y y)) (* y y) (* (+ x y) (- x y)) (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x))) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (- x y) (* (+ x y) (+ (* y y) (* x x)))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (+ (* (/ x y) (/ x y)) -1)) |
| 2.0ms | x | @ | -inf | ((- x y) (* (+ x y) (+ (* y y) (* x x))) (+ x y) (+ (* y y) (* x x)) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (+ (* x x) (* y y)) (* y y) (* (+ x y) (- x y)) (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x))) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (- x y) (* (+ x y) (+ (* y y) (* x x)))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (+ (* (/ x y) (/ x y)) -1)) |
| 2.0ms | y | @ | -inf | ((- x y) (* (+ x y) (+ (* y y) (* x x))) (+ x y) (+ (* y y) (* x x)) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (+ (* x x) (* y y)) (* y y) (* (+ x y) (- x y)) (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x))) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (- x y) (* (+ x y) (+ (* y y) (* x x)))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (+ (* (/ x y) (/ x y)) -1)) |
| 2.0ms | y | @ | 0 | ((- x y) (* (+ x y) (+ (* y y) (* x x))) (+ x y) (+ (* y y) (* x x)) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (+ (* x x) (* y y)) (* y y) (* (+ x y) (- x y)) (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x))) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (- x y) (* (+ x y) (+ (* y y) (* x x)))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (+ (* (/ x y) (/ x y)) -1)) |
| 1× | egg-herbie |
| 10 122× | lower-fma.f64 |
| 10 122× | lower-fma.f32 |
| 3 412× | lower-*.f64 |
| 3 412× | lower-*.f32 |
| 2 540× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 355 | 3949 |
| 1 | 1102 | 3540 |
| 2 | 3544 | 3240 |
| 0 | 8001 | 3121 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(pow x 3) |
(+ (* (pow x 2) y) (pow x 3)) |
(+ (* y (+ (* x y) (pow x 2))) (pow x 3)) |
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(pow x 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow x 4) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(pow x 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow x 2) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(pow x 2) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(/ 1 (pow x 2)) |
(+ (* -1 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))) |
(+ (* (pow y 2) (- (/ (pow y 2) (pow x 6)) (/ 1 (pow x 4)))) (/ 1 (pow x 2))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))) |
(/ (pow x 2) y) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) y) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) y) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) y) |
(pow x 2) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(pow x 4) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(pow x 4) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(pow x 4) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(pow x 4) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(/ (pow x 2) (pow y 2)) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(pow y 3) |
(* (pow y 3) (+ 1 (/ x y))) |
(* (pow y 3) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(* (pow y 3) (+ 1 (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3)))))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(/ 1 (pow y 2)) |
(/ (+ 1 (* -1 (/ (pow x 2) (pow y 2)))) (pow y 2)) |
(/ (- (+ 1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (* -1 (/ (pow x 6) (pow y 6)))) (+ (* -1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) (pow y 2)) |
(* -1 y) |
(* y (- (/ (pow x 2) (pow y 2)) 1)) |
(* y (- (/ (pow x 2) (pow y 2)) 1)) |
(* y (- (/ (pow x 2) (pow y 2)) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1)) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1)) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1)) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1)) |
-1 |
(- (/ (pow x 2) (pow y 2)) 1) |
(- (/ (pow x 2) (pow y 2)) 1) |
(- (/ (pow x 2) (pow y 2)) 1) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(pow y 3) |
(* -1 (* (pow y 3) (- (* -1 (/ x y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (/ (pow x 2) y)) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)) 1))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(/ 1 (pow y 2)) |
(/ (+ 1 (* -1 (/ (pow x 2) (pow y 2)))) (pow y 2)) |
(/ (- (+ 1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (* -1 (/ (pow x 6) (pow y 6)))) (+ (* -1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) (pow y 2)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1)) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1)) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1)) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1)) |
-1 |
(- (/ (pow x 2) (pow y 2)) 1) |
(- (/ (pow x 2) (pow y 2)) 1) |
(- (/ (pow x 2) (pow y 2)) 1) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(pow y 3) |
(+ (* x (pow y 2)) (pow y 3)) |
(+ (* x (+ (* x y) (pow y 2))) (pow y 3)) |
(+ (* x (+ (* x (+ x y)) (pow y 2))) (pow y 3)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(* -1 (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(/ 1 (pow y 2)) |
(+ (* -1 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) |
(+ (* (pow x 2) (- (/ (pow x 2) (pow y 6)) (/ 1 (pow y 4)))) (/ 1 (pow y 2))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (/ (pow x 2) (pow y 8))) (/ 1 (pow y 6)))) (/ 1 (pow y 4)))) (/ 1 (pow y 2))) |
(* -1 y) |
(+ (* -1 y) (/ (pow x 2) y)) |
(+ (* -1 y) (/ (pow x 2) y)) |
(+ (* -1 y) (/ (pow x 2) y)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(* -1 (pow y 4)) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3)))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3))))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3))))) |
(* -1 (pow y 4)) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3)))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3))))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3))))) |
(* -1 (pow y 4)) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3)))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3))))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3))))) |
(* -1 (pow y 4)) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3)))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3))))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3))))) |
-1 |
(- (/ (pow x 2) (pow y 2)) 1) |
(- (/ (pow x 2) (pow y 2)) 1) |
(- (/ (pow x 2) (pow y 2)) 1) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ y x))) |
(* (pow x 3) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* (pow x 3) (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) (pow x 2)) |
(/ (- (+ 1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (pow y 6) (pow x 6)))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))) (pow x 2)) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) (pow x 2)) |
(/ (- (+ 1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (pow y 6) (pow x 6)))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))) (pow x 2)) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
| Outputs |
|---|
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(+ (* (pow x 2) y) (pow x 3)) |
(*.f64 (*.f64 (+.f64 y x) x) x) |
(+ (* y (+ (* x y) (pow x 2))) (pow x 3)) |
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) x) |
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3)) |
(*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(pow x 2) |
(*.f64 x x) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow x 2) |
(*.f64 x x) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow x 2) |
(*.f64 x x) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(*.f64 x x) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(*.f64 x x) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ (* -1 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))) |
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(+ (* (pow y 2) (- (/ (pow y 2) (pow x 6)) (/ 1 (pow x 4)))) (/ 1 (pow x 2))) |
(fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 6 binary64))) y (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))) |
(fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 6 binary64))) y (-.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) y) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) y) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) y) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) |
(pow x 2) |
(*.f64 x x) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(fma.f64 (neg.f64 y) y (*.f64 x x)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(pow.f64 x #s(literal 4 binary64)) |
(/ (pow x 2) (pow y 2)) |
(/.f64 (/.f64 (*.f64 x x) y) y) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) y) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) y) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(pow y 3) |
(pow.f64 y #s(literal 3 binary64)) |
(* (pow y 3) (+ 1 (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3)))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 y #s(literal 3 binary64))) |
y |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(* -1 (pow y 4)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ (+ 1 (* -1 (/ (pow x 2) (pow y 2)))) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(/ (- (+ 1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) (*.f64 y y)) |
(/ (- (+ 1 (* -1 (/ (pow x 6) (pow y 6)))) (+ (* -1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) (pow y 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 y y)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ (pow x 2) (pow y 2)) 1)) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) |
(* y (- (/ (pow x 2) (pow y 2)) 1)) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) |
(* y (- (/ (pow x 2) (pow y 2)) 1)) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
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(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(/ (pow x 2) (pow y 2)) |
(/.f64 (/.f64 (*.f64 x x) y) y) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x) |
| 6 522× | lower-fma.f32 |
| 6 516× | lower-fma.f64 |
| 3 920× | lower-/.f32 |
| 3 914× | lower-/.f64 |
| 3 588× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 179 |
| 0 | 51 | 165 |
| 1 | 195 | 144 |
| 2 | 1512 | 144 |
| 0 | 8434 | 144 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x y) |
(*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) |
(+.f64 x y) |
(fma.f64 y y (*.f64 x x)) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 x x) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(*.f64 y y) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) |
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) |
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 y) x))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) |
(*.f64 #s(literal 1 binary64) (-.f64 x y)) |
(*.f64 (-.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 y x) x) x) (*.f64 y (*.f64 y (+.f64 y x)))) (*.f64 (+.f64 y x) (+.f64 y x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (-.f64 y x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 y) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 y) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (neg.f64 y) x)) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (+.f64 y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 y) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(/.f64 (-.f64 x y) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (+.f64 y x)))) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 y)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 y)) |
(fma.f64 #s(literal -1 binary64) y x) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 y)) |
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x)))) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (+.f64 y x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 x #s(literal 1 binary64)) y) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(-.f64 x y) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(+.f64 (neg.f64 y) x) |
(+.f64 x (neg.f64 y)) |
(*.f64 (*.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (fma.f64 y y (*.f64 x x)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x)) (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 y x)) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)) (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 y x) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 y (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 y x) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 y (+.f64 y x))) (*.f64 (*.f64 (+.f64 y x) x) x)))) |
(*.f64 (fma.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y (*.f64 y (+.f64 y x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 y x) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 y (+.f64 y x))) (*.f64 (*.f64 (+.f64 y x) x) x)))))) |
(*.f64 (neg.f64 (+.f64 y x)) (neg.f64 (fma.f64 y y (*.f64 x x)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 x y)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y)))) |
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 x y)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (fma.f64 (neg.f64 x) x (*.f64 y y))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (fma.f64 (neg.f64 y) y (*.f64 x x))))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 y y))))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (neg.f64 y) y (*.f64 x x))))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) (-.f64 x y)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)) |
(*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 y x)) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(fma.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 (/.f64 x y))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) y) (*.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 x x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 x y) x) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (neg.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (neg.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 x x) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 x x) (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal -1 binary64)) |
(fma.f64 x (/.f64 (/.f64 x y) y) #s(literal -1 binary64)) |
(fma.f64 x (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) |
(fma.f64 x (pow.f64 (*.f64 y (/.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(expm1.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
Compiled 67 466 to 4 401 computations (93.5% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 465 | 11 | 2 476 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 1 | 2 |
| Total | 2 470 | 17 | 2 487 |
| Status | Accuracy | Program |
|---|---|---|
| 97.4% | (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))) | |
| 71.3% | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) | |
| ▶ | 71.9% | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) |
| 56.1% | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (/ 1 (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y))) | |
| ▶ | 93.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))))) |
| 99.5% | (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 #s(approx (* (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 (/.f64 x y) x (neg.f64 y))) y))) | |
| ✓ | 99.8% | (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) |
| 48.9% | (*.f64 (-.f64 x y) (/.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 y y)) (-.f64 x y) (*.f64 (-.f64 x y) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 x x)))) (*.f64 (-.f64 x y) (-.f64 x y)))) | |
| ▶ | 99.8% | (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) |
| ✓ | 99.8% | (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) |
| 94.2% | (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)))) | |
| 67.2% | (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) | |
| 70.0% | (*.f64 (-.f64 x y) #s(approx (* (+ x y) (+ (* y y) (* x x))) (*.f64 (*.f64 (+.f64 y x) x) x))) | |
| ▶ | 66.7% | (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) |
| ▶ | 56.3% | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
| ✓ | 58.5% | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) |
| ✓ | 56.4% | #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
Compiled 531 to 303 computations (42.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 320 | (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))) | |
| cost-diff | 1792 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (* y y) (* x x)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) | |
| cost-diff | 576 | (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (*.f64 (-.f64 x y) (+.f64 x y)) | |
| cost-diff | 1088 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) y) | |
| cost-diff | 0 | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) | |
| cost-diff | 0 | (neg.f64 (+.f64 y x)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) | |
| cost-diff | 1216 | (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) |
| 6 442× | lower-fma.f32 |
| 6 438× | lower-fma.f64 |
| 3 594× | lower-*.f32 |
| 3 572× | lower-*.f64 |
| 1 932× | lower--.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 354 |
| 0 | 66 | 350 |
| 1 | 136 | 344 |
| 2 | 408 | 326 |
| 3 | 2098 | 322 |
| 4 | 6174 | 318 |
| 0 | 8174 | 318 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) |
(-.f64 x y) |
x |
y |
(/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) |
(neg.f64 (+.f64 y x)) |
(+.f64 y x) |
(/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))) |
#s(literal -1 binary64) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(*.f64 y y) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(-.f64 x y) |
x |
y |
(+.f64 x y) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) |
#s(literal 1 binary64) |
#s(approx (+ (* y y) (* x x)) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) |
#s(approx (+ (* y y) (* x x)) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 x y) |
y |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))))) |
#s(literal 1 binary64) |
(/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))) |
(+.f64 x y) |
x |
y |
(*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))) |
(*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(-.f64 x y) |
| Outputs |
|---|
(*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) |
(*.f64 (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
(-.f64 x y) |
x |
y |
(/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) |
(*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) |
(neg.f64 (+.f64 y x)) |
(-.f64 (neg.f64 x) y) |
(+.f64 y x) |
(/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))) |
#s(literal -1 binary64) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(*.f64 y y) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) |
(*.f64 (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) (+.f64 y x)) (-.f64 x y)) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(-.f64 x y) |
x |
y |
(+.f64 x y) |
(+.f64 y x) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) |
#s(literal 1 binary64) |
#s(approx (+ (* y y) (* x x)) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) |
(*.f64 #s(approx (* (+ x y) (- x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64) (neg.f64 y)) y)) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) |
#s(approx (+ (* y y) (* x x)) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)) |
#s(approx (* (+ x y) (- x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64) (neg.f64 y)) y)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64) (neg.f64 y)) y) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64) (neg.f64 y)) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 x y) |
y |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))))) |
(*.f64 (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))) |
(*.f64 (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (*.f64 (+.f64 y x) (-.f64 x y))) |
(*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) |
(*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(*.f64 (+.f64 y x) (-.f64 x y)) |
(-.f64 x y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06640625 | (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))) | |
| accuracy | 0.1015625 | (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) | |
| accuracy | 0.20511608365890696 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))))) | |
| accuracy | 4.059896655225543 | (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))) | |
| accuracy | 0.12109375 | (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) | |
| accuracy | 2.6626857271231255 | (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) | |
| accuracy | 4.051695596080037 | (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) | |
| accuracy | 26.88274026367049 | #s(approx (+ (* y y) (* x x)) (*.f64 x x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.10775375976844201 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) | |
| accuracy | 0.2422371328237418 | (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) | |
| accuracy | 26.88274026367049 | #s(approx (+ (* y y) (* x x)) (*.f64 x x)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.14681625976844204 | (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) | |
| accuracy | 27.923471222886917 | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) | |
| accuracy | 0.00390625 | (fma.f64 y y (*.f64 x x)) | |
| accuracy | 0.0703125 | (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) | |
| accuracy | 0.109375 | (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) | |
| accuracy | 0.2422371328237418 | (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))) |
| 83.0ms | 256× | 0 | valid |
Compiled 318 to 37 computations (88.4% saved)
ival-mult: 18.0ms (33.2% of total)ival-div: 10.0ms (18.4% of total)ival-add: 10.0ms (18.4% of total)ival-sub: 7.0ms (12.9% of total)ival-pow: 7.0ms (12.9% of total)ival-neg: 2.0ms (3.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) (patch (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (patch (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y y) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))) (patch (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))) (patch (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow x 3) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x 2) y) (pow x 3)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* x y) (pow x 2))) (pow x 3)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) (patch (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) (patch (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) (patch (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) (patch (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 y) x) (taylor 0 y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 y) x) (taylor 0 y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 y) x) (taylor 0 y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (* -1 x))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (pow y 2)) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (pow y 2)) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (pow y 2)) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (patch (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* -1 (/ (pow y 6) (pow x 6)))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | inf | ((/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x)))) (* (- x y) (/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x))))) (- x y) (neg (+ y x)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* y y) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (* (- x y) (+ x y)) (+ x y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (/ 1 (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))))) (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y)))) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))) (/ -1 (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (* (neg y) y) (* y y)) (/ 1 (+ (* y y) (* x x))) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ x y) (+ (* y y) (* x x)))) |
| 4.0ms | x | @ | 0 | ((/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x)))) (* (- x y) (/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x))))) (- x y) (neg (+ y x)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* y y) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (* (- x y) (+ x y)) (+ x y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (/ 1 (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))))) (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y)))) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))) (/ -1 (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (* (neg y) y) (* y y)) (/ 1 (+ (* y y) (* x x))) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ x y) (+ (* y y) (* x x)))) |
| 3.0ms | y | @ | 0 | ((/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x)))) (* (- x y) (/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x))))) (- x y) (neg (+ y x)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* y y) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (* (- x y) (+ x y)) (+ x y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (/ 1 (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))))) (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y)))) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))) (/ -1 (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (* (neg y) y) (* y y)) (/ 1 (+ (* y y) (* x x))) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ x y) (+ (* y y) (* x x)))) |
| 3.0ms | y | @ | -inf | ((/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x)))) (* (- x y) (/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x))))) (- x y) (neg (+ y x)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* y y) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (* (- x y) (+ x y)) (+ x y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (/ 1 (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))))) (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y)))) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))) (/ -1 (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (* (neg y) y) (* y y)) (/ 1 (+ (* y y) (* x x))) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ x y) (+ (* y y) (* x x)))) |
| 3.0ms | x | @ | -inf | ((/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x)))) (* (- x y) (/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x))))) (- x y) (neg (+ y x)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* y y) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (* (- x y) (+ x y)) (+ x y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (/ 1 (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))))) (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y)))) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))) (/ -1 (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (* (neg y) y) (* y y)) (/ 1 (+ (* y y) (* x x))) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ x y) (+ (* y y) (* x x)))) |
| 1× | egg-herbie |
| 7 224× | lower-fma.f64 |
| 7 224× | lower-fma.f32 |
| 3 770× | lower-+.f64 |
| 3 770× | lower-+.f32 |
| 3 282× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 717 | 5286 |
| 1 | 2303 | 4710 |
| 0 | 8709 | 4550 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 3) |
(+ (* (pow x 2) y) (pow x 3)) |
(+ (* y (+ (* x y) (pow x 2))) (pow x 3)) |
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3)) |
(pow x 4) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 x) |
(- (* -1 y) x) |
(- (* -1 y) x) |
(- (* -1 y) x) |
(pow x 4) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(+ (* -1 (pow y 4)) (pow x 4)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow x 4) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(pow x 2) |
(+ (* y (+ x (* -1 x))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(/ (pow x 2) y) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) y) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) y) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) y) |
(pow x 4) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(pow x 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow x 4) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) |
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) |
(/ 1 (pow x 4)) |
(+ (/ 1 (pow x 4)) (/ (pow y 4) (pow x 8))) |
(+ (* (pow y 4) (+ (/ 1 (pow x 8)) (/ (pow y 4) (pow x 12)))) (/ 1 (pow x 4))) |
(+ (* (pow y 4) (+ (* (pow y 4) (+ (/ 1 (pow x 12)) (/ (pow y 4) (pow x 16)))) (/ 1 (pow x 8)))) (/ 1 (pow x 4))) |
(pow x 5) |
(+ (* y (+ (* -1 (pow x 4)) (* 2 (pow x 4)))) (pow x 5)) |
(+ (* y (+ (* -1 (pow x 4)) (+ (* 2 (pow x 4)) (* y (+ (* -2 (pow x 3)) (* 2 (pow x 3))))))) (pow x 5)) |
(+ (* y (+ (* -1 (pow x 4)) (+ (* 2 (pow x 4)) (* y (+ (* -2 (pow x 3)) (+ (* 2 (pow x 3)) (* y (+ (* -2 (pow x 2)) (* 2 (pow x 2)))))))))) (pow x 5)) |
(/ -1 (pow x 2)) |
(- (/ (pow y 2) (pow x 4)) (/ 1 (pow x 2))) |
(- (* (pow y 2) (+ (* -1 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))) |
(- (* (pow y 2) (+ (* (pow y 2) (- (/ (pow y 2) (pow x 8)) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))) |
(pow x 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(* -1 (pow y 4)) |
(* -1 (pow y 4)) |
(* -1 (pow y 4)) |
(* -1 (pow y 4)) |
(/ 1 (pow x 2)) |
(+ (* -1 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))) |
(+ (* (pow y 2) (- (/ (pow y 2) (pow x 6)) (/ 1 (pow x 4)))) (/ 1 (pow x 2))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))) |
(pow x 2) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(pow x 3) |
(+ (* (pow x 2) y) (pow x 3)) |
(+ (* y (+ (* x y) (pow x 2))) (pow x 3)) |
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3)) |
(pow y 3) |
(* (pow y 3) (+ 1 (/ x y))) |
(* (pow y 3) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(* (pow y 3) (+ 1 (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3)))))) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* y (- (* -1 (/ x y)) 1)) |
(* y (- (* -1 (/ x y)) 1)) |
(* y (- (* -1 (/ x y)) 1)) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* -1 y) |
(* y (- (/ (pow x 2) (pow y 2)) 1)) |
(* y (- (/ (pow x 2) (pow y 2)) 1)) |
(* y (- (/ (pow x 2) (pow y 2)) 1)) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1)) |
(/ -1 (pow y 4)) |
(/ (- (* -1 (/ (+ x (* -1 x)) y)) 1) (pow y 4)) |
(/ (- (* -1 (/ (+ (* -1 (pow x 2)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (pow y 2))) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) (pow y 4)) |
(/ (- (* -1 (/ (+ (* -1 (pow x 3)) (+ (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (+ (pow x 2) (pow (+ x (* -1 x)) 2)))) (+ (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))) (pow y 4)) |
(* -1 (pow y 5)) |
(* (pow y 5) (- (+ (* -2 (/ x y)) (/ x y)) 1)) |
(* (pow y 5) (- (+ (* -2 (/ x y)) (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y)))) 1)) |
(* (pow y 5) (- (+ (* -2 (/ x y)) (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -2 (/ (pow x 3) (pow y 3))) (+ (* 2 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ (pow x 3) (pow y 3))) (/ x y)))))) 1)) |
(/ -1 (pow y 2)) |
(/ (- (/ (pow x 2) (pow y 2)) 1) (pow y 2)) |
(/ (- (* -1 (/ (pow x 4) (pow y 4))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) (pow y 2)) |
(/ (- (/ (pow x 6) (pow y 6)) (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 4) (pow y 4))))) (pow y 2)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* -1 (pow y 4)) |
(* -1 (pow y 4)) |
(* -1 (pow y 4)) |
(* -1 (pow y 4)) |
(/ 1 (pow y 2)) |
(/ (+ 1 (* -1 (/ (pow x 2) (pow y 2)))) (pow y 2)) |
(/ (- (+ 1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (* -1 (/ (pow x 6) (pow y 6)))) (+ (* -1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) (pow y 2)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(pow y 3) |
(* (pow y 3) (+ 1 (/ x y))) |
(* (pow y 3) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(* (pow y 3) (+ 1 (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3)))))) |
(pow y 3) |
(* -1 (* (pow y 3) (- (* -1 (/ x y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (/ (pow x 2) y)) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)) 1))) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ (* -1 (+ x (* -1 x))) (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ (* -1 (+ x (* -1 x))) (* -1 (/ (+ (* -1 (+ (* -1 (pow x 2)) (pow x 2))) (+ (* -1 (/ (pow x 3) y)) (/ (pow x 3) y))) y))) y)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 y) |
(* -1 (* y (+ 1 (/ x y)))) |
(* -1 (* y (+ 1 (/ x y)))) |
(* -1 (* y (+ 1 (/ x y)))) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* -1 (pow y 4)) |
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1)) |
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1)) |
(/ -1 (pow y 4)) |
(/ (- (+ (* -1 (/ x y)) (/ x y)) 1) (pow y 4)) |
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) y)) (+ (/ (pow x 2) y) (/ (pow (+ x (* -1 x)) 2) y))) (+ x (* -1 x))) y)) 1) (pow y 4)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 3) y)) (+ (/ (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (+ (pow x 2) (pow (+ x (* -1 x)) 2)))) y) (+ (/ (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2))) y) (/ (pow x 3) y)))) (+ (* -1 (pow x 2)) (+ (pow x 2) (pow (+ x (* -1 x)) 2)))) y)) (+ x (* -1 x))) y)) 1) (pow y 4)) |
(* -1 (pow y 5)) |
(* -1 (* (pow y 5) (+ 1 (* -1 (/ (+ x (* -2 x)) y))))) |
(* -1 (* (pow y 5) (+ 1 (* -1 (/ (+ x (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (* 2 (pow x 2))) y)))) y))))) |
(* -1 (* (pow y 5) (+ 1 (* -1 (/ (+ x (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (+ (* -1 (/ (+ (* -2 (pow x 3)) (* 2 (pow x 3))) y)) (* 2 (pow x 2)))) y)))) y))))) |
(/ -1 (pow y 2)) |
(/ (- (/ (pow x 2) (pow y 2)) 1) (pow y 2)) |
(/ (- (* -1 (/ (pow x 4) (pow y 4))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) (pow y 2)) |
(/ (- (/ (pow x 6) (pow y 6)) (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 4) (pow y 4))))) (pow y 2)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* -1 (pow y 4)) |
(* -1 (pow y 4)) |
(* -1 (pow y 4)) |
(* -1 (pow y 4)) |
(/ 1 (pow y 2)) |
(/ (+ 1 (* -1 (/ (pow x 2) (pow y 2)))) (pow y 2)) |
(/ (- (+ 1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (* -1 (/ (pow x 6) (pow y 6)))) (+ (* -1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) (pow y 2)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) |
(pow y 3) |
(* -1 (* (pow y 3) (- (* -1 (/ x y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (/ (pow x 2) y)) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)) 1))) |
(pow y 3) |
(+ (* x (pow y 2)) (pow y 3)) |
(+ (* x (+ (* x y) (pow y 2))) (pow y 3)) |
(+ (* x (+ (* x (+ x y)) (pow y 2))) (pow y 3)) |
(* -1 (pow y 4)) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3)))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3))))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3))))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(* -1 y) |
(- (* -1 x) y) |
(- (* -1 x) y) |
(- (* -1 x) y) |
(* -1 (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(- (pow x 4) (pow y 4)) |
(* -1 (pow y 4)) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3)))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3))))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3))))) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(* -1 y) |
(+ (* -1 y) (/ (pow x 2) y)) |
(+ (* -1 y) (/ (pow x 2) y)) |
(+ (* -1 y) (/ (pow x 2) y)) |
(* -1 (pow y 4)) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3)))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3))))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3))))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 (pow y 4)) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3)))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3))))) |
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3))))) |
(/ -1 (pow y 4)) |
(- (* -1 (/ (pow x 4) (pow y 8))) (/ 1 (pow y 4))) |
(- (* (pow x 4) (- (* -1 (/ (pow x 4) (pow y 12))) (/ 1 (pow y 8)))) (/ 1 (pow y 4))) |
(- (* (pow x 4) (- (* (pow x 4) (- (* -1 (/ (pow x 4) (pow y 16))) (/ 1 (pow y 12)))) (/ 1 (pow y 8)))) (/ 1 (pow y 4))) |
(* -1 (pow y 5)) |
(+ (* -1 (pow y 5)) (* x (+ (* -2 (pow y 4)) (pow y 4)))) |
(+ (* -1 (pow y 5)) (* x (+ (* -2 (pow y 4)) (+ (* x (+ (* -2 (pow y 3)) (* 2 (pow y 3)))) (pow y 4))))) |
(+ (* -1 (pow y 5)) (* x (+ (* -2 (pow y 4)) (+ (* x (+ (* -2 (pow y 3)) (+ (* 2 (pow y 3)) (* x (+ (* -2 (pow y 2)) (* 2 (pow y 2))))))) (pow y 4))))) |
(/ -1 (pow y 2)) |
(- (/ (pow x 2) (pow y 4)) (/ 1 (pow y 2))) |
(- (* (pow x 2) (+ (* -1 (/ (pow x 2) (pow y 6))) (/ 1 (pow y 4)))) (/ 1 (pow y 2))) |
(- (* (pow x 2) (+ (* (pow x 2) (- (/ (pow x 2) (pow y 8)) (/ 1 (pow y 6)))) (/ 1 (pow y 4)))) (/ 1 (pow y 2))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(/ 1 (pow y 2)) |
(+ (* -1 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) |
(+ (* (pow x 2) (- (/ (pow x 2) (pow y 6)) (/ 1 (pow y 4)))) (/ 1 (pow y 2))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (/ (pow x 2) (pow y 8))) (/ 1 (pow y 6)))) (/ 1 (pow y 4)))) (/ 1 (pow y 2))) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(+ (* -1 (pow y 2)) (pow x 2)) |
(pow y 3) |
(+ (* x (pow y 2)) (pow y 3)) |
(+ (* x (+ (* x y) (pow y 2))) (pow y 3)) |
(+ (* x (+ (* x (+ x y)) (pow y 2))) (pow y 3)) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ y x))) |
(* (pow x 3) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* (pow x 3) (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* -1 (/ y x)) 1)) |
(* x (- (* -1 (/ y x)) 1)) |
(* x (- (* -1 (/ y x)) 1)) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))) |
(/ 1 (pow x 4)) |
(/ (+ 1 (* -1 (/ (+ y (* -1 y)) x))) (pow x 4)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (+ (* -1 (pow (+ y (* -1 y)) 2)) (pow y 2))) (pow x 2)))) (+ (* -1 (/ y x)) (/ y x))) (pow x 4)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (+ (* -1 (pow (+ y (* -1 y)) 2)) (pow y 2))))) (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 3)) (pow y 3)))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) (pow x 4)) |
(pow x 5) |
(* (pow x 5) (+ 1 (+ (* -1 (/ y x)) (* 2 (/ y x))))) |
(* (pow x 5) (+ 1 (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* 2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2)))))))) |
(* (pow x 5) (+ 1 (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -2 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (+ (* 2 (/ y x)) (+ (* 2 (/ (pow y 2) (pow x 2))) (* 2 (/ (pow y 3) (pow x 3)))))))))) |
(/ -1 (pow x 2)) |
(/ (- (/ (pow y 2) (pow x 2)) 1) (pow x 2)) |
(/ (- (* -1 (/ (pow y 4) (pow x 4))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (pow x 2)) |
(/ (- (/ (pow y 6) (pow x 6)) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 4) (pow x 4))))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) (pow x 2)) |
(/ (- (+ 1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (pow y 6) (pow x 6)))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ y x))) |
(* (pow x 3) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* (pow x 3) (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (+ y (* -1 y)) x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)))) x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow y 3)) (pow y 3)) x)) (+ (* -1 (pow y 2)) (pow y 2))) x)))) x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ y x)))) |
(* -1 (* x (+ 1 (/ y x)))) |
(* -1 (* x (+ 1 (/ y x)))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 4) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(/ 1 (pow x 4)) |
(/ (+ 1 (* -1 (/ (+ y (* -1 y)) x))) (pow x 4)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow (+ y (* -1 y)) 2) x))) (* -1 (+ y (* -1 y)))) x))) (pow x 4)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (pow y 2))) x)) (+ (* -1 (/ (+ (* -1 (pow y 3)) (pow y 3)) x)) (/ (* (+ y (* -1 y)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow (+ y (* -1 y)) 2)))) x))) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (* -1 (+ y (* -1 y)))) x))) (pow x 4)) |
(pow x 5) |
(* -1 (* (pow x 5) (- (+ (* -2 (/ y x)) (/ y x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (+ (* -1 (+ y (* -2 y))) (* 2 (/ (pow y 2) x)))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* -1 (+ y (* -2 y))) (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (+ (* -1 (+ (* -2 (pow y 2)) (* 2 (pow y 2)))) (* 2 (/ (pow y 3) x)))) x))) x)) 1))) |
(/ -1 (pow x 2)) |
(/ (- (/ (pow y 2) (pow x 2)) 1) (pow x 2)) |
(/ (- (* -1 (/ (pow y 4) (pow x 4))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (pow x 2)) |
(/ (- (/ (pow y 6) (pow x 6)) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 4) (pow x 4))))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) (pow x 2)) |
(/ (- (+ 1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (pow y 6) (pow x 6)))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1))) |
| Outputs |
|---|
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(+ (* (pow x 2) y) (pow x 3)) |
(*.f64 (*.f64 (+.f64 y x) x) x) |
(+ (* y (+ (* x y) (pow x 2))) (pow x 3)) |
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) x) |
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3)) |
(fma.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) y (pow.f64 x #s(literal 3 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) |
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(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 y (/.f64 y x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 y (/.f64 y x)) (/.f64 y x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1 (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -2 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (+ (* 2 (/ y x)) (+ (* 2 (/ (pow y 2) (pow x 2))) (* 2 (/ (pow y 3) (pow x 3)))))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ (pow y 2) (pow x 2)) 1) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x) |
(/ (- (* -1 (/ (pow y 4) (pow x 4))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x)))) (*.f64 x x)) |
(/ (- (/ (pow y 6) (pow x 6)) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 4) (pow x 4))))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 y x) (/.f64 y x))) #s(literal 1 binary64))) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 x x)) |
(/ (- (+ 1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))) (pow x 2)) |
(/.f64 (+.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 y x) (/.f64 y x))) #s(literal 1 binary64)) (*.f64 x x)) |
(/ (- (+ 1 (* -1 (/ (pow y 6) (pow x 6)))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 x x)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ y x))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (+ y (* -1 y)) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow y 3)) (pow y 3)) x)) (+ (* -1 (pow y 2)) (pow y 2))) x)))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ y x)))) |
(neg.f64 (fma.f64 (/.f64 y x) x x)) |
(* -1 (* x (+ 1 (/ y x)))) |
(neg.f64 (fma.f64 (/.f64 y x) x x)) |
(* -1 (* x (+ 1 (/ y x)))) |
(neg.f64 (fma.f64 (/.f64 y x) x x)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 x x)) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 y x) x)) x) x) |
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 y x) x)) x) x) |
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 y x) x)) x) x) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ 1 (* -1 (/ (+ y (* -1 y)) x))) (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow (+ y (* -1 y)) 2) x))) (* -1 (+ y (* -1 y)))) x))) (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (pow y 2))) x)) (+ (* -1 (/ (+ (* -1 (pow y 3)) (pow y 3)) x)) (/ (* (+ y (* -1 y)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow (+ y (* -1 y)) 2)))) x))) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (* -1 (+ y (* -1 y)))) x))) (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* -1 (* (pow x 5) (- (+ (* -2 (/ y x)) (/ y x)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (+ (* -1 (+ y (* -2 y))) (* 2 (/ (pow y 2) x)))) x)) 1))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -2 binary64) (fma.f64 (*.f64 y (/.f64 y x)) #s(literal 2 binary64) y)) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* -1 (+ y (* -2 y))) (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (+ (* -1 (+ (* -2 (pow y 2)) (* 2 (pow y 2)))) (* 2 (/ (pow y 3) x)))) x))) x)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 2 binary64) #s(literal 0 binary64))) x)) x) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ (pow y 2) (pow x 2)) 1) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x) |
(/ (- (* -1 (/ (pow y 4) (pow x 4))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x)))) (*.f64 x x)) |
(/ (- (/ (pow y 6) (pow x 6)) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 4) (pow x 4))))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 y x) (/.f64 y x))) #s(literal 1 binary64))) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 x x)) |
(/ (- (+ 1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))) (pow x 2)) |
(/.f64 (+.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 y x) (/.f64 y x))) #s(literal 1 binary64)) (*.f64 x x)) |
(/ (- (+ 1 (* -1 (/ (pow y 6) (pow x 6)))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 x x)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
| 4 974× | lower-/.f32 |
| 4 960× | lower-/.f64 |
| 3 600× | lower-fma.f32 |
| 3 596× | lower-fma.f64 |
| 3 102× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 266 |
| 0 | 66 | 259 |
| 1 | 255 | 207 |
| 2 | 2112 | 203 |
| 0 | 8205 | 203 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) |
(*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) |
(-.f64 x y) |
(neg.f64 (+.f64 y x)) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(*.f64 y y) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) |
(*.f64 (-.f64 x y) (+.f64 x y)) |
(+.f64 x y) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) |
#s(approx (+ (* y y) (* x x)) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))))) |
(/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))) |
(*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))) |
(/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) |
(*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) |
| Outputs |
|---|
(*.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) (neg.f64 (+.f64 x y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) |
(*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) |
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(-.f64 (neg.f64 y) x) |
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(+.f64 (neg.f64 x) (neg.f64 y)) |
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(+.f64 (neg.f64 y) (*.f64 x #s(literal -1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 x y)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (*.f64 (neg.f64 y) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 x y) (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 x y)) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x x (*.f64 (neg.f64 y) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x)) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 x y) (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 x y))) |
(/.f64 (+.f64 x y) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 x y)))) |
(/.f64 (neg.f64 (+.f64 x y)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) |
(neg.f64 (*.f64 (+.f64 x y) (neg.f64 (fma.f64 y y (*.f64 x x))))) |
(fma.f64 (*.f64 (+.f64 x y) y) y (*.f64 (*.f64 (+.f64 x y) x) x)) |
(fma.f64 (*.f64 (+.f64 x y) x) x (*.f64 y (*.f64 y (+.f64 x y)))) |
(fma.f64 (+.f64 x y) (*.f64 y y) (*.f64 (*.f64 (+.f64 x y) x) x)) |
(fma.f64 (+.f64 x y) (*.f64 x x) (*.f64 y (*.f64 y (+.f64 x y)))) |
(fma.f64 (*.f64 y y) (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) x) x)) |
(fma.f64 (fma.f64 y y (*.f64 x x)) x (*.f64 (fma.f64 y y (*.f64 x x)) y)) |
(fma.f64 (fma.f64 y y (*.f64 x x)) y (*.f64 (fma.f64 y y (*.f64 x x)) x)) |
(fma.f64 (*.f64 x x) (+.f64 x y) (*.f64 y (*.f64 y (+.f64 x y)))) |
(fma.f64 x (*.f64 x (+.f64 x y)) (*.f64 y (*.f64 y (+.f64 x y)))) |
(fma.f64 x (fma.f64 y y (*.f64 x x)) (*.f64 y (fma.f64 y y (*.f64 x x)))) |
(fma.f64 y (*.f64 y (+.f64 x y)) (*.f64 (*.f64 (+.f64 x y) x) x)) |
(fma.f64 y (fma.f64 y y (*.f64 x x)) (*.f64 x (fma.f64 y y (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) |
(-.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 y (+.f64 x y))) #s(literal 2 binary64)) (-.f64 (*.f64 y (*.f64 y (+.f64 x y))) (*.f64 (*.f64 (+.f64 x y) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x y) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (*.f64 y (+.f64 x y))) (*.f64 (*.f64 (+.f64 x y) x) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (-.f64 x y))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 x y))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 y x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (-.f64 y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (+.f64 x y) (neg.f64 (fma.f64 y y (*.f64 x x))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (neg.f64 (fma.f64 y y (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 x y))) #s(literal -1 binary64))) |
(+.f64 (*.f64 x (fma.f64 y y (*.f64 x x))) (*.f64 y (fma.f64 y y (*.f64 x x)))) |
(+.f64 (*.f64 y (fma.f64 y y (*.f64 x x))) (*.f64 x (fma.f64 y y (*.f64 x x)))) |
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) x) (*.f64 (fma.f64 y y (*.f64 x x)) y)) |
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (fma.f64 y y (*.f64 x x)) x)) |
(+.f64 (*.f64 y (*.f64 y (+.f64 x y))) (*.f64 (*.f64 (+.f64 x y) x) x)) |
(+.f64 (*.f64 (*.f64 (+.f64 x y) x) x) (*.f64 y (*.f64 y (+.f64 x y)))) |
Compiled 76 525 to 6 453 computations (91.6% saved)
18 alts after pruning (12 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 599 | 8 | 2 607 |
| Fresh | 4 | 4 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 2 606 | 18 | 2 624 |
| Status | Accuracy | Program |
|---|---|---|
| 71.3% | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) | |
| 56.1% | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (/ 1 (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y))) | |
| 58.5% | (/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) | |
| 93.8% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))))) | |
| 70.4% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (*.f64 (-.f64 x y) (+.f64 x y))))) | |
| ✓ | 99.8% | (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) |
| 67.1% | (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))) | |
| ✓ | 99.8% | (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) |
| 94.2% | (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)))) | |
| 67.2% | (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) | |
| 70.0% | (*.f64 (-.f64 x y) #s(approx (/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x)))) (*.f64 (*.f64 (+.f64 y x) x) x))) | |
| 57.7% | (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 y y))))) | |
| ✓ | 66.7% | (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) |
| 71.6% | (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 #s(approx (* (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 x (/.f64 x y) (neg.f64 y))) y))) | |
| 28.7% | (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 #s(approx (* (+ (* (/ x y) (/ x y)) -1) y) (neg.f64 y)) y))) | |
| ✓ | 56.3% | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
| ✓ | 58.5% | #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) |
| ✓ | 56.4% | #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
Compiled 812 to 301 computations (62.9% saved)
| Inputs |
|---|
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 #s(approx (* (+ (* (/ x y) (/ x y)) -1) y) (neg.f64 y)) y))) |
(*.f64 (-.f64 x y) #s(approx (* (+ x y) (+ (* y y) (* x x))) (*.f64 (*.f64 (+.f64 y x) x) x))) |
(*.f64 (-.f64 x y) #s(approx (/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x)))) (*.f64 (*.f64 (+.f64 y x) x) x))) |
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) |
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) |
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) |
(*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 (-.f64 x y) y (*.f64 (-.f64 x y) x))) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 #s(approx (* (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 x (/.f64 x y) (neg.f64 y))) y))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) |
(*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))) |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 #s(approx (* (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 (/.f64 x y) x (neg.f64 y))) y))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) |
(*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 y y))))) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y))) |
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)))) |
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (*.f64 (-.f64 x y) (+.f64 x y))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (/ 1 (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y))) |
(*.f64 (-.f64 x y) (/.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 y y)) (-.f64 x y) (*.f64 (-.f64 x y) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 x x)))) (*.f64 (-.f64 x y) (-.f64 x y)))) |
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
| Outputs |
|---|
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) |
5 calls:
| 27.0ms | (pow.f64 y #s(literal 4 binary64)) |
| 14.0ms | y |
| 9.0ms | x |
| 8.0ms | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| 8.0ms | (pow.f64 x #s(literal 4 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| 99.8% | 1 | (pow.f64 x #s(literal 4 binary64)) |
| 99.8% | 1 | (pow.f64 y #s(literal 4 binary64)) |
Compiled 15 to 18 computations (-20% saved)
| Inputs |
|---|
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 #s(approx (* (+ (* (/ x y) (/ x y)) -1) y) (neg.f64 y)) y))) |
(*.f64 (-.f64 x y) #s(approx (* (+ x y) (+ (* y y) (* x x))) (*.f64 (*.f64 (+.f64 y x) x) x))) |
(*.f64 (-.f64 x y) #s(approx (/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x)))) (*.f64 (*.f64 (+.f64 y x) x) x))) |
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) |
| Outputs |
|---|
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
(*.f64 (-.f64 x y) #s(approx (* (+ x y) (+ (* y y) (* x x))) (*.f64 (*.f64 (+.f64 y x) x) x))) |
5 calls:
| 26.0ms | x |
| 3.0ms | y |
| 2.0ms | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| 2.0ms | (pow.f64 y #s(literal 4 binary64)) |
| 2.0ms | (pow.f64 x #s(literal 4 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 3 | x |
| 91.9% | 3 | y |
| 99.3% | 2 | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| 94.9% | 2 | (pow.f64 x #s(literal 4 binary64)) |
| 91.3% | 2 | (pow.f64 y #s(literal 4 binary64)) |
Compiled 15 to 18 computations (-20% saved)
| Inputs |
|---|
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 #s(approx (* (+ (* (/ x y) (/ x y)) -1) y) (neg.f64 y)) y))) |
| Outputs |
|---|
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) |
3 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| 1.0ms | (pow.f64 x #s(literal 4 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.8% | 3 | x |
| 84.5% | 2 | (pow.f64 x #s(literal 4 binary64)) |
| 93.9% | 2 | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
Compiled 11 to 12 computations (-9.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) |
5 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
| 1.0ms | (pow.f64 x #s(literal 4 binary64)) |
| 1.0ms | (pow.f64 y #s(literal 4 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.5% | 1 | x |
| 58.5% | 1 | (pow.f64 x #s(literal 4 binary64)) |
| 58.5% | 1 | y |
| 58.5% | 1 | (pow.f64 y #s(literal 4 binary64)) |
| 58.5% | 1 | (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
Compiled 15 to 18 computations (-20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.83397870084e-313 | 0.0 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.83397870084e-313 | 0.0 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
| 22× | *-commutative-binary64-*.f64 |
| 14× | +-commutative-binary64-+.f64 |
| 12× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 8× | neg-sub0-binary64--.f64-neg.f64 |
| 8× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 119 |
| 1 | 52 | 119 |
| 2 | 62 | 119 |
| 3 | 69 | 119 |
| 4 | 73 | 119 |
| 5 | 74 | 119 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) |
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -80960901323/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) (*.f64 (-.f64 x y) #s(approx (* (+ x y) (+ (* y y) (* x x))) (*.f64 (*.f64 (+.f64 y x) x) x)))) |
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -80960901323/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) |
| Outputs |
|---|
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) |
(*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)) (-.f64 x y)) |
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -80960901323/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) (*.f64 (-.f64 x y) #s(approx (* (+ x y) (+ (* y y) (* x x))) (*.f64 (*.f64 (+.f64 y x) x) x)))) |
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -80960901323/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 (neg.f64 y) y))) (*.f64 #s(approx (* (+ x y) (+ (* y y) (* x x))) (*.f64 (*.f64 (+.f64 y x) x) x)) (-.f64 x y))) |
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -80960901323/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -80960901323/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 (neg.f64 y) y))) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) |
| 19 848× | lower-fma.f64 |
| 19 848× | lower-fma.f32 |
| 10 122× | lower-fma.f64 |
| 10 122× | lower-fma.f32 |
| 7 736× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 355 | 3949 |
| 1 | 1102 | 3540 |
| 2 | 3544 | 3240 |
| 0 | 8001 | 3121 |
| 0 | 17 | 219 |
| 1 | 37 | 219 |
| 2 | 67 | 219 |
| 3 | 168 | 219 |
| 4 | 343 | 219 |
| 5 | 621 | 219 |
| 6 | 2846 | 219 |
| 7 | 5704 | 219 |
| 0 | 8227 | 219 |
| 0 | 24 | 109 |
| 0 | 40 | 119 |
| 1 | 172 | 91 |
| 2 | 1196 | 88 |
| 0 | 9547 | 88 |
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 36 | 13 |
| 2 | 225 | 13 |
| 3 | 1989 | 13 |
| 0 | 8607 | 13 |
| 1× | fuel |
| 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 221 to 118 computations (46.6% saved)
Compiled 174 to 66 computations (62.1% saved)
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