
Time bar (total: 3.5s)
| 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 11 to 11 computations (0% saved)
| 456.0ms | 8 256× | 0 | valid |
ival-div: 118.0ms (45.5% of total)ival-mult: 83.0ms (32% of total)ival-sub: 38.0ms (14.6% of total)exact: 12.0ms (4.6% of total)ival-true: 6.0ms (2.3% of total)ival-assert: 3.0ms (1.2% of total)| 1× | egg-herbie |
| 352× | lower-fma.f64 |
| 352× | lower-fma.f32 |
| 256× | lower-*.f32 |
| 254× | lower-*.f64 |
| 172× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 87 |
| 1 | 76 | 84 |
| 2 | 153 | 81 |
| 3 | 332 | 81 |
| 4 | 616 | 81 |
| 5 | 1057 | 81 |
| 6 | 1210 | 81 |
| 7 | 1234 | 81 |
| 8 | 1234 | 81 |
| 0 | 9 | 9 |
| 0 | 13 | 9 |
| 1 | 18 | 9 |
| 2 | 31 | 9 |
| 3 | 40 | 9 |
| 4 | 64 | 9 |
| 5 | 108 | 9 |
| 6 | 189 | 9 |
| 7 | 312 | 9 |
| 8 | 447 | 9 |
| 9 | 514 | 9 |
| 10 | 549 | 9 |
| 11 | 550 | 9 |
| 0 | 550 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| Outputs |
|---|
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) |
(sort x y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 8 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 x y) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 z #s(literal 8 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 31.0ms | 512× | 0 | valid |
Compiled 78 to 40 computations (48.7% saved)
ival-div: 6.0ms (43.8% of total)ival-mult: 4.0ms (29.2% of total)ival-sub: 2.0ms (14.6% of total)exact: 1.0ms (7.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x y) |
| ✓ | cost-diff | 128 | (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| ✓ | cost-diff | 384 | (/.f64 z #s(literal 8 binary64)) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 x y) #s(literal 2 binary64)) |
| 352× | lower-fma.f64 |
| 352× | lower-fma.f32 |
| 256× | lower-*.f32 |
| 254× | lower-*.f64 |
| 88× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 0 | 13 | 25 |
| 1 | 18 | 25 |
| 2 | 31 | 25 |
| 3 | 40 | 25 |
| 4 | 64 | 25 |
| 5 | 108 | 25 |
| 6 | 189 | 25 |
| 7 | 312 | 25 |
| 8 | 447 | 25 |
| 9 | 514 | 25 |
| 10 | 549 | 25 |
| 11 | 550 | 25 |
| 0 | 550 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
(/.f64 (*.f64 x y) #s(literal 2 binary64)) |
(*.f64 x y) |
x |
y |
#s(literal 2 binary64) |
(/.f64 z #s(literal 8 binary64)) |
z |
#s(literal 8 binary64) |
| Outputs |
|---|
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) |
(/.f64 (*.f64 x y) #s(literal 2 binary64)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 x y) |
x |
y |
#s(literal 2 binary64) |
(/.f64 z #s(literal 8 binary64)) |
(*.f64 z #s(literal 1/8 binary64)) |
z |
#s(literal 8 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 x y) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 z #s(literal 8 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| 16.0ms | 256× | 0 | valid |
Compiled 27 to 11 computations (59.3% saved)
ival-div: 3.0ms (35.5% of total)ival-mult: 3.0ms (35.5% of total)ival-sub: 2.0ms (23.7% 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 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 z) (taylor 0 z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 z) (taylor 0 z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 z) (taylor 0 z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 z) (taylor 0 z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 z) (taylor inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 z) (taylor inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 z) (taylor inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 z) (taylor inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 z) (taylor -inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 z) (taylor -inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 z) (taylor -inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 z) (taylor -inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor 0 x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor 0 y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor 0 z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor inf z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor -inf z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#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 (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (- (/ (* x y) 2) (/ z 8)) |
| 1.0ms | y | @ | 0 | (/ (* x y) 2) |
| 1.0ms | x | @ | 0 | (/ (* x y) 2) |
| 1.0ms | x | @ | inf | (/ (* x y) 2) |
| 1.0ms | y | @ | inf | (/ (* x y) 2) |
| 1× | batch-egg-rewrite |
| 5 312× | lower-fma.f64 |
| 5 312× | lower-fma.f32 |
| 4 784× | lower-*.f32 |
| 4 782× | lower-*.f64 |
| 3 460× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 0 | 13 | 20 |
| 1 | 56 | 20 |
| 2 | 486 | 20 |
| 0 | 8677 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) #s(literal 2 binary64)) |
(/.f64 z #s(literal 8 binary64)) |
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
(*.f64 x y) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y)))) |
(/.f64 x (/.f64 #s(literal 2 binary64) y)) |
(/.f64 (*.f64 x y) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 x y)) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x y))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) y)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1 binary64)) |
(*.f64 x (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 y (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 y (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 y (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (*.f64 x y)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 8 binary64) z)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal -1/8 binary64))) |
(neg.f64 (*.f64 z #s(literal -1/8 binary64))) |
(neg.f64 (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64))) |
(/.f64 z #s(literal 8 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) z)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) z)) |
(/.f64 (neg.f64 z) #s(literal -8 binary64)) |
(pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64)) |
(*.f64 z #s(literal 1/8 binary64)) |
(*.f64 (*.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))) |
(*.f64 #s(literal 1/8 binary64) z) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 z #s(literal -1/8 binary64))) |
(*.f64 (neg.f64 z) #s(literal -1/8 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) |
(+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 8 binary64)) #s(literal 1/16 binary64)) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) (neg.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))))) |
(+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (neg.f64 (/.f64 (*.f64 z (*.f64 #s(literal 1/64 binary64) z)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))) |
(-.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) |
(-.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z #s(literal 1/8 binary64)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 8 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z)))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 z (*.f64 #s(literal 1/64 binary64) z)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal -8 binary64)) #s(literal -16 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal 8 binary64)) z) (/.f64 #s(literal 16 binary64) z)) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 16 binary64) z))) |
(-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x y) #s(literal -8 binary64))) #s(literal 16 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (neg.f64 y) #s(literal 8 binary64))) z) (/.f64 #s(literal -16 binary64) z)) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal -16 binary64) z))) |
(-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) z) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64)))) |
(-.f64 (/.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -8 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (neg.f64 z)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -8 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 z #s(literal 1/8 binary64))))) |
(-.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 0 binary64)) (*.f64 z #s(literal 1/8 binary64))) |
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) |
(fma.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal -1/8 binary64))) |
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) (*.f64 z #s(literal -1/8 binary64))) |
(fma.f64 y (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal -1/8 binary64))) |
(fma.f64 y (*.f64 (neg.f64 x) #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) |
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64))) |
(fma.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal -1/8 binary64))) |
(fma.f64 z #s(literal -1/8 binary64) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 x y) #s(literal 8 binary64)) #s(literal 1/16 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)))) |
(fma.f64 (neg.f64 (*.f64 x y)) #s(literal -1/2 binary64) (*.f64 z #s(literal -1/8 binary64))) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) (neg.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (neg.f64 (/.f64 (*.f64 z (*.f64 #s(literal 1/64 binary64) z)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/8 binary64)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64)) (*.f64 z #s(literal -1/8 binary64))) |
(fma.f64 #s(literal 1/8 binary64) (neg.f64 z) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 z #s(literal -1/8 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/8 binary64)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) (fma.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 1/64 binary64) z)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (/.f64 (*.f64 z (*.f64 #s(literal 1/64 binary64) z)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 z (*.f64 #s(literal 1/64 binary64) z)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 z (*.f64 #s(literal 1/64 binary64) z)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))))) |
(/.f64 (-.f64 (*.f64 z (*.f64 #s(literal 1/64 binary64) z)) (*.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x))) (-.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 8 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (*.f64 x y) #s(literal 8 binary64)) #s(literal 1/16 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)))) (fma.f64 (*.f64 (*.f64 x y) #s(literal 8 binary64)) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z)))))) (*.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))))) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))) (*.f64 (/.f64 (*.f64 z (*.f64 #s(literal 1/64 binary64) z)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 z (*.f64 #s(literal 1/64 binary64) z)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))) (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 z (*.f64 #s(literal 1/64 binary64) z)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/512 binary64))) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (*.f64 (*.f64 z z) #s(literal -1/64 binary64))) #s(literal 1 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) |
(pow.f64 (/.f64 #s(literal 16 binary64) (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 z #s(literal -2 binary64))) #s(literal 1/16 binary64)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z)))))) |
(*.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z)))) (*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) |
(*.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (*.f64 (*.f64 z z) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))) |
(*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))) |
(*.f64 (fma.f64 x (*.f64 y #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) z)) #s(literal -1/16 binary64)) |
(*.f64 (fma.f64 x (*.f64 y (/.f64 #s(literal 8 binary64) z)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) z))) |
(*.f64 (fma.f64 x (*.f64 (neg.f64 y) #s(literal -8 binary64)) (*.f64 z #s(literal -2 binary64))) #s(literal 1/16 binary64)) |
(*.f64 (fma.f64 (neg.f64 y) (*.f64 x (/.f64 #s(literal 8 binary64) z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) z))) |
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x y)) z)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64)))) |
(*.f64 (+.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x y)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -8 binary64)))) |
(*.f64 (+.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 #s(literal -2 binary64) (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)))) |
(*.f64 (fma.f64 x (*.f64 (neg.f64 y) #s(literal 8 binary64)) (*.f64 #s(literal 2 binary64) z)) #s(literal -1/16 binary64)) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/512 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (*.f64 (*.f64 z z) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x y))) |
(neg.f64 (neg.f64 (*.f64 x y))) |
(*.f64 x y) |
(*.f64 x (neg.f64 (neg.f64 y))) |
(*.f64 x (*.f64 y #s(literal 1 binary64))) |
(*.f64 y x) |
(*.f64 y (neg.f64 (neg.f64 x))) |
(*.f64 y (*.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x y))) |
(*.f64 (neg.f64 y) (neg.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 y)) |
(*.f64 (neg.f64 (neg.f64 y)) x) |
(*.f64 (neg.f64 (neg.f64 x)) y) |
(*.f64 (*.f64 #s(literal 1 binary64) x) y) |
(*.f64 (*.f64 #s(literal 1 binary64) y) x) |
| 1× | egg-herbie |
| 4 218× | lower-fma.f64 |
| 4 218× | lower-fma.f32 |
| 3 690× | lower-*.f64 |
| 3 690× | lower-*.f32 |
| 2 036× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 508 |
| 1 | 123 | 508 |
| 2 | 350 | 508 |
| 3 | 861 | 508 |
| 4 | 1961 | 508 |
| 5 | 4019 | 508 |
| 6 | 6382 | 508 |
| 0 | 8114 | 481 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/8 z) |
(* 1/8 z) |
(* 1/8 z) |
(* 1/8 z) |
(* 1/8 z) |
(* 1/8 z) |
(* 1/8 z) |
(* 1/8 z) |
(* 1/8 z) |
(* 1/8 z) |
(* 1/8 z) |
(* 1/8 z) |
(* -1/8 z) |
(- (* 1/2 (* x y)) (* 1/8 z)) |
(- (* 1/2 (* x y)) (* 1/8 z)) |
(- (* 1/2 (* x y)) (* 1/8 z)) |
(* 1/2 (* x y)) |
(* x (+ (* -1/8 (/ z x)) (* 1/2 y))) |
(* x (+ (* -1/8 (/ z x)) (* 1/2 y))) |
(* x (+ (* -1/8 (/ z x)) (* 1/2 y))) |
(* 1/2 (* x y)) |
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) |
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) |
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) |
(* -1/8 z) |
(- (* 1/2 (* x y)) (* 1/8 z)) |
(- (* 1/2 (* x y)) (* 1/8 z)) |
(- (* 1/2 (* x y)) (* 1/8 z)) |
(* 1/2 (* x y)) |
(* y (+ (* -1/8 (/ z y)) (* 1/2 x))) |
(* y (+ (* -1/8 (/ z y)) (* 1/2 x))) |
(* y (+ (* -1/8 (/ z y)) (* 1/2 x))) |
(* 1/2 (* x y)) |
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) |
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) |
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) |
(* 1/2 (* x y)) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(* -1/8 z) |
(* z (- (* 1/2 (/ (* x y) z)) 1/8)) |
(* z (- (* 1/2 (/ (* x y) z)) 1/8)) |
(* z (- (* 1/2 (/ (* x y) z)) 1/8)) |
(* -1/8 z) |
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) |
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) |
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/8 z) |
(*.f64 #s(literal 1/8 binary64) z) |
(* 1/8 z) |
(*.f64 #s(literal 1/8 binary64) z) |
(* 1/8 z) |
(*.f64 #s(literal 1/8 binary64) z) |
(* 1/8 z) |
(*.f64 #s(literal 1/8 binary64) z) |
(* 1/8 z) |
(*.f64 #s(literal 1/8 binary64) z) |
(* 1/8 z) |
(*.f64 #s(literal 1/8 binary64) z) |
(* 1/8 z) |
(*.f64 #s(literal 1/8 binary64) z) |
(* 1/8 z) |
(*.f64 #s(literal 1/8 binary64) z) |
(* 1/8 z) |
(*.f64 #s(literal 1/8 binary64) z) |
(* 1/8 z) |
(*.f64 #s(literal 1/8 binary64) z) |
(* 1/8 z) |
(*.f64 #s(literal 1/8 binary64) z) |
(* 1/8 z) |
(*.f64 #s(literal 1/8 binary64) z) |
(* -1/8 z) |
(*.f64 z #s(literal -1/8 binary64)) |
(- (* 1/2 (* x y)) (* 1/8 z)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(- (* 1/2 (* x y)) (* 1/8 z)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(- (* 1/2 (* x y)) (* 1/8 z)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* x (+ (* -1/8 (/ z x)) (* 1/2 y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* x (+ (* -1/8 (/ z x)) (* 1/2 y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* x (+ (* -1/8 (/ z x)) (* 1/2 y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* -1/8 z) |
(*.f64 z #s(literal -1/8 binary64)) |
(- (* 1/2 (* x y)) (* 1/8 z)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(- (* 1/2 (* x y)) (* 1/8 z)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(- (* 1/2 (* x y)) (* 1/8 z)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* y (+ (* -1/8 (/ z y)) (* 1/2 x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* y (+ (* -1/8 (/ z y)) (* 1/2 x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* y (+ (* -1/8 (/ z y)) (* 1/2 x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* -1/8 z) |
(*.f64 z #s(literal -1/8 binary64)) |
(* z (- (* 1/2 (/ (* x y) z)) 1/8)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* z (- (* 1/2 (/ (* x y) z)) 1/8)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* z (- (* 1/2 (/ (* x y) z)) 1/8)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* -1/8 z) |
(*.f64 z #s(literal -1/8 binary64)) |
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
Compiled 5 156 to 611 computations (88.1% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 314 | 3 | 317 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 315 | 3 | 318 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) |
| ▶ | 51.2% | (*.f64 z #s(literal -1/8 binary64)) |
| ▶ | 50.5% | (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
Compiled 25 to 19 computations (24% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 z #s(literal -1/8 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal -1/8 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
| 28× | lower-*.f32 |
| 20× | lower-*.f64 |
| 16× | lower-fma.f32 |
| 14× | lower-fma.f64 |
| 12× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 0 | 16 | 35 |
| 1 | 25 | 35 |
| 2 | 28 | 35 |
| 0 | 28 | 35 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
#s(literal 1/2 binary64) |
(*.f64 x y) |
x |
y |
(*.f64 z #s(literal -1/8 binary64)) |
z |
#s(literal -1/8 binary64) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) |
(*.f64 y #s(literal 1/2 binary64)) |
y |
#s(literal 1/2 binary64) |
x |
(*.f64 z #s(literal -1/8 binary64)) |
z |
#s(literal -1/8 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
#s(literal 1/2 binary64) |
(*.f64 x y) |
x |
y |
(*.f64 z #s(literal -1/8 binary64)) |
z |
#s(literal -1/8 binary64) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64))) |
(*.f64 y #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
y |
#s(literal 1/2 binary64) |
x |
(*.f64 z #s(literal -1/8 binary64)) |
z |
#s(literal -1/8 binary64) |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal -1/8 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal -1/8 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
| 19.0ms | 256× | 0 | valid |
Compiled 38 to 13 computations (65.8% saved)
ival-mult: 7.0ms (75.8% of total)ival-add: 1.0ms (10.8% 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 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(literal -1/8 binary64)) (patch (*.f64 z #s(literal -1/8 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#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 (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal -1/8 binary64)) (patch (*.f64 z #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal -1/8 binary64)) (patch (*.f64 z #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal -1/8 binary64)) (patch (*.f64 z #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal -1/8 binary64)) (patch (*.f64 z #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor inf z) (#s(alt (*.f64 z #s(literal -1/8 binary64)) (patch (*.f64 z #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor inf z) (#s(alt (*.f64 z #s(literal -1/8 binary64)) (patch (*.f64 z #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor inf z) (#s(alt (*.f64 z #s(literal -1/8 binary64)) (patch (*.f64 z #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor inf z) (#s(alt (*.f64 z #s(literal -1/8 binary64)) (patch (*.f64 z #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal -1/8 binary64)) (patch (*.f64 z #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal -1/8 binary64)) (patch (*.f64 z #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal -1/8 binary64)) (patch (*.f64 z #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal -1/8 binary64)) (patch (*.f64 z #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor 0 x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 z) (taylor -inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (* y 1/2) |
| 0.0ms | y | @ | -inf | (* y 1/2) |
| 0.0ms | z | @ | 0 | (* z -1/8) |
| 0.0ms | y | @ | 0 | (+ (* (* y 1/2) x) (* z -1/8)) |
| 0.0ms | y | @ | 0 | (* y 1/2) |
| 1× | batch-egg-rewrite |
| 14 462× | lower-fma.f32 |
| 14 460× | lower-fma.f64 |
| 5 120× | lower-*.f32 |
| 5 112× | lower-*.f64 |
| 3 620× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 22 |
| 0 | 16 | 22 |
| 1 | 38 | 22 |
| 2 | 212 | 22 |
| 3 | 2149 | 22 |
| 0 | 8285 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 z #s(literal -1/8 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) |
(*.f64 y #s(literal 1/2 binary64)) |
| Outputs |
|---|
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x y) #s(literal 1 binary64))) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))) (exp.f64 (log.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y))) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 (*.f64 x y)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 #s(literal 1/2 binary64)))) |
(*.f64 x y) |
(*.f64 y x) |
(exp.f64 (log.f64 (*.f64 z #s(literal -1/8 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)) |
(*.f64 z #s(literal -1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) z) |
(*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) #s(literal -1/8 binary64)) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 #s(literal -1/8 binary64)))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1/8 binary64))) (exp.f64 (log.f64 z))) |
(+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 z #s(literal -1/8 binary64))) |
(+.f64 (/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y)) (fma.f64 z #s(literal 1/8 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (/.f64 (*.f64 z (*.f64 z #s(literal 1/64 binary64))) (fma.f64 z #s(literal 1/8 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) (*.f64 z #s(literal -1/8 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y)) (fma.f64 z #s(literal 1/8 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (*.f64 z (*.f64 z #s(literal 1/64 binary64))) (fma.f64 z #s(literal 1/8 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z #s(literal 1/8 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 (fma.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) (*.f64 (*.f64 z z) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 z #s(literal 1/8 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))) |
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(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64)) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal -1/134217728 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 z #s(literal 1/8 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/512 binary64)) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/512 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal -1/262144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 z #s(literal 1/8 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal -1/262144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/8 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y))) (*.f64 (*.f64 z (*.f64 z #s(literal 1/64 binary64))) (fma.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) (*.f64 z (*.f64 z #s(literal 1/64 binary64)))))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) (*.f64 z (*.f64 z #s(literal 1/64 binary64)))) (fma.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) (*.f64 (*.f64 z z) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/8 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) (*.f64 z (*.f64 z #s(literal 1/64 binary64)))))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) (*.f64 (*.f64 z z) #s(literal -1/64 binary64))) (fma.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) (*.f64 (*.f64 z z) #s(literal -1/64 binary64)))) (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) (*.f64 z #s(literal -1/8 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/512 binary64))) (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/512 binary64)) (*.f64 (fma.f64 z #s(literal -1/8 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (*.f64 (fma.f64 z #s(literal -1/8 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (fma.f64 z #s(literal -1/8 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (fma.f64 (*.f64 z (-.f64 (*.f64 z #s(literal 1/64 binary64)) (*.f64 (*.f64 x y) #s(literal -1/16 binary64)))) (-.f64 (*.f64 z (-.f64 (*.f64 z #s(literal 1/64 binary64)) (*.f64 (*.f64 x y) #s(literal -1/16 binary64)))) (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y))) (*.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/512 binary64))) (*.f64 (fma.f64 z (*.f64 z #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 z #s(literal 1/8 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))) (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y)) (*.f64 z (-.f64 (*.f64 z #s(literal 1/64 binary64)) (*.f64 (*.f64 x y) #s(literal -1/16 binary64))))))) (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y)) (*.f64 z (-.f64 (*.f64 z #s(literal 1/64 binary64)) (*.f64 (*.f64 x y) #s(literal -1/16 binary64)))))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) (*.f64 (*.f64 z z) #s(literal -1/64 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)))) (fma.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) (*.f64 z (fma.f64 z #s(literal 1/64 binary64) (*.f64 (*.f64 x y) #s(literal -1/16 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 z #s(literal 1/8 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal -1/262144 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y))) (*.f64 (*.f64 z (*.f64 z #s(literal 1/64 binary64))) (fma.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) (*.f64 z (*.f64 z #s(literal 1/64 binary64)))))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 z #s(literal 1/8 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) (*.f64 z (*.f64 z #s(literal 1/64 binary64)))) (fma.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) (*.f64 (*.f64 z z) #s(literal -1/64 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y) (*.f64 z (*.f64 z #s(literal 1/64 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 z (*.f64 z #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 z #s(literal 1/8 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64)) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal -1/134217728 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/512 binary64)) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/512 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 z (*.f64 z #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 z #s(literal 1/8 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal -1/262144 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64))))) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 y #s(literal 1/2 binary64)) |
| 1× | egg-herbie |
| 5 892× | lower-fma.f64 |
| 5 892× | lower-fma.f32 |
| 3 664× | lower-*.f64 |
| 3 664× | lower-*.f32 |
| 2 122× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 544 |
| 1 | 119 | 544 |
| 2 | 351 | 544 |
| 3 | 814 | 544 |
| 4 | 1718 | 544 |
| 5 | 3600 | 544 |
| 6 | 6211 | 544 |
| 0 | 8198 | 517 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1/8 z) |
(* -1/8 z) |
(* -1/8 z) |
(* -1/8 z) |
(* -1/8 z) |
(* -1/8 z) |
(* -1/8 z) |
(* -1/8 z) |
(* -1/8 z) |
(* -1/8 z) |
(* -1/8 z) |
(* -1/8 z) |
(* -1/8 z) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(* 1/2 (* x y)) |
(* y (+ (* -1/8 (/ z y)) (* 1/2 x))) |
(* y (+ (* -1/8 (/ z y)) (* 1/2 x))) |
(* y (+ (* -1/8 (/ z y)) (* 1/2 x))) |
(* 1/2 (* x y)) |
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) |
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) |
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) |
(* -1/8 z) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(* 1/2 (* x y)) |
(* x (+ (* -1/8 (/ z x)) (* 1/2 y))) |
(* x (+ (* -1/8 (/ z x)) (* 1/2 y))) |
(* x (+ (* -1/8 (/ z x)) (* 1/2 y))) |
(* 1/2 (* x y)) |
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) |
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) |
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) |
(* 1/2 (* x y)) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(* -1/8 z) |
(* z (- (* 1/2 (/ (* x y) z)) 1/8)) |
(* z (- (* 1/2 (/ (* x y) z)) 1/8)) |
(* z (- (* 1/2 (/ (* x y) z)) 1/8)) |
(* -1/8 z) |
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) |
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) |
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
| Outputs |
|---|
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* -1/8 z) |
(*.f64 #s(literal -1/8 binary64) z) |
(* -1/8 z) |
(*.f64 #s(literal -1/8 binary64) z) |
(* -1/8 z) |
(*.f64 #s(literal -1/8 binary64) z) |
(* -1/8 z) |
(*.f64 #s(literal -1/8 binary64) z) |
(* -1/8 z) |
(*.f64 #s(literal -1/8 binary64) z) |
(* -1/8 z) |
(*.f64 #s(literal -1/8 binary64) z) |
(* -1/8 z) |
(*.f64 #s(literal -1/8 binary64) z) |
(* -1/8 z) |
(*.f64 #s(literal -1/8 binary64) z) |
(* -1/8 z) |
(*.f64 #s(literal -1/8 binary64) z) |
(* -1/8 z) |
(*.f64 #s(literal -1/8 binary64) z) |
(* -1/8 z) |
(*.f64 #s(literal -1/8 binary64) z) |
(* -1/8 z) |
(*.f64 #s(literal -1/8 binary64) z) |
(* -1/8 z) |
(*.f64 #s(literal -1/8 binary64) z) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* y (+ (* -1/8 (/ z y)) (* 1/2 x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* y (+ (* -1/8 (/ z y)) (* 1/2 x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* y (+ (* -1/8 (/ z y)) (* 1/2 x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* -1/8 z) |
(*.f64 #s(literal -1/8 binary64) z) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* x (+ (* -1/8 (/ z x)) (* 1/2 y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* x (+ (* -1/8 (/ z x)) (* 1/2 y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* x (+ (* -1/8 (/ z x)) (* 1/2 y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* 1/2 (* x y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(+ (* -1/8 z) (* 1/2 (* x y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* -1/8 z) |
(*.f64 #s(literal -1/8 binary64) z) |
(* z (- (* 1/2 (/ (* x y) z)) 1/8)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* z (- (* 1/2 (/ (* x y) z)) 1/8)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* z (- (* 1/2 (/ (* x y) z)) 1/8)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* -1/8 z) |
(*.f64 #s(literal -1/8 binary64) z) |
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z)) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
Compiled 11 476 to 567 computations (95.1% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 336 | 0 | 336 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 0 | 0 |
| Total | 336 | 3 | 339 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) |
| ✓ | 51.2% | (*.f64 z #s(literal -1/8 binary64)) |
| ✓ | 50.5% | (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
Compiled 53 to 34 computations (35.8% saved)
| Inputs |
|---|
(*.f64 z #s(literal -1/8 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) |
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) |
7 calls:
| 28.0ms | (/.f64 (*.f64 x y) #s(literal 2 binary64)) |
| 2.0ms | (/.f64 z #s(literal 8 binary64)) |
| 2.0ms | (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| 100.0% | 1 | (/.f64 (*.f64 x y) #s(literal 2 binary64)) |
| 100.0% | 1 | (*.f64 x y) |
| 100.0% | 1 | (/.f64 z #s(literal 8 binary64)) |
Compiled 44 to 33 computations (25% saved)
| Inputs |
|---|
(*.f64 z #s(literal -1/8 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
(*.f64 z #s(literal -1/8 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x y)) |
7 calls:
| 4.0ms | z |
| 2.0ms | (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| 2.0ms | (/.f64 (*.f64 x y) #s(literal 2 binary64)) |
| 2.0ms | x |
| 2.0ms | (/.f64 z #s(literal 8 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.0% | 3 | x |
| 71.8% | 3 | y |
| 69.0% | 3 | z |
| 62.9% | 3 | (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| 78.2% | 3 | (/.f64 (*.f64 x y) #s(literal 2 binary64)) |
| 78.2% | 3 | (*.f64 x y) |
| 69.0% | 3 | (/.f64 z #s(literal 8 binary64)) |
Compiled 44 to 33 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 z #s(literal -1/8 binary64)) |
| Outputs |
|---|
(*.f64 z #s(literal -1/8 binary64)) |
7 calls:
| 1.0ms | z |
| 1.0ms | (/.f64 z #s(literal 8 binary64)) |
| 1.0ms | (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 1 | (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| 51.2% | 1 | z |
| 51.2% | 1 | (/.f64 z #s(literal 8 binary64)) |
| 51.2% | 1 | y |
| 51.2% | 1 | x |
| 51.2% | 1 | (/.f64 (*.f64 x y) #s(literal 2 binary64)) |
| 51.2% | 1 | (*.f64 x y) |
Compiled 44 to 33 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 7.897377081211908e-24 | 5.49200853466323e-23 |
| 17.0ms | -2.4451808214767534e+27 | -20750716.800807565 |
| 15.0ms | 272× | 0 | valid |
Compiled 253 to 219 computations (13.4% saved)
ival-div: 7.0ms (76.8% of total)ival-sub: 1.0ms (11% 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 |
| 8× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 36 |
| 1 | 20 | 36 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) |
(if (<=.f64 (*.f64 x y) #s(literal -185000000000000000000 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (if (<=.f64 (*.f64 x y) #s(literal 521057374347687/21267647932558653966460912964485513216 binary64)) (*.f64 z #s(literal -1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(*.f64 z #s(literal -1/8 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64))) |
(if (<=.f64 (*.f64 x y) #s(literal -185000000000000000000 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (if (<=.f64 (*.f64 x y) #s(literal 521057374347687/21267647932558653966460912964485513216 binary64)) (*.f64 z #s(literal -1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(if (<=.f64 (*.f64 y x) #s(literal -185000000000000000000 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (if (<=.f64 (*.f64 y x) #s(literal 521057374347687/21267647932558653966460912964485513216 binary64)) (*.f64 z #s(literal -1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) |
(*.f64 z #s(literal -1/8 binary64)) |
| 5 312× | lower-fma.f64 |
| 5 312× | lower-fma.f32 |
| 4 784× | lower-*.f32 |
| 4 782× | lower-*.f64 |
| 4 218× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 508 |
| 1 | 123 | 508 |
| 2 | 350 | 508 |
| 3 | 861 | 508 |
| 4 | 1961 | 508 |
| 5 | 4019 | 508 |
| 6 | 6382 | 508 |
| 0 | 8114 | 481 |
| 0 | 9 | 20 |
| 0 | 13 | 20 |
| 1 | 56 | 20 |
| 2 | 486 | 20 |
| 0 | 8677 | 19 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 70 to 40 computations (42.9% saved)
(sort x y)
Compiled 124 to 66 computations (46.8% saved)
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