
Time bar (total: 7.1s)
| 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)
| 726.0ms | 8 256× | 0 | valid |
ival-mult: 412.0ms (74.5% of total)ival-div: 76.0ms (13.7% of total)ival-sub: 44.0ms (8% of total)exact: 11.0ms (2% of total)ival-true: 6.0ms (1.1% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 16 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 116 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) 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 |
| 25.0ms | 458× | 0 | valid |
| 4.0ms | 24× | 2 | valid |
| 3.0ms | 30× | 1 | valid |
Compiled 71 to 31 computations (56.3% saved)
ival-mult: 7.0ms (41.8% of total)ival-div: 5.0ms (29.8% of total)ival-sub: 3.0ms (17.9% of total)adjust: 1.0ms (6% of total)exact: 1.0ms (6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 476× | distribute-lft-in |
| 416× | distribute-rgt-in |
| 346× | unsub-neg |
| 290× | associate-*r* |
| 228× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 41 |
| 1 | 56 | 37 |
| 2 | 160 | 35 |
| 3 | 528 | 35 |
| 4 | 1538 | 35 |
| 5 | 1779 | 35 |
| 6 | 2006 | 35 |
| 7 | 2103 | 35 |
| 8 | 2137 | 35 |
| 9 | 2149 | 35 |
| 0 | 9 | 7 |
| 0 | 14 | 7 |
| 1 | 21 | 7 |
| 2 | 36 | 7 |
| 3 | 66 | 7 |
| 4 | 88 | 7 |
| 0 | 88 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(negabs y)
Compiled 9 to 9 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) | |
| cost-diff | 128 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) | |
| cost-diff | 704 | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
| 60× | lower-*.f32 |
| 56× | lower-*.f64 |
| 36× | lower-fma.f64 |
| 36× | lower-fma.f32 |
| 26× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 0 | 14 | 21 |
| 1 | 21 | 21 |
| 2 | 36 | 21 |
| 3 | 66 | 21 |
| 4 | 88 | 21 |
| 0 | 88 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
x |
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
#s(literal 16 binary64) |
#s(literal 116 binary64) |
#s(literal 3 binary64) |
y |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
#s(literal 4/29 binary64) |
#s(literal 16 binary64) |
#s(literal 116 binary64) |
#s(literal 3 binary64) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) | |
| accuracy | 0.1171875 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) | |
| accuracy | 0.140625 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 15.0ms | 229× | 0 | valid |
| 2.0ms | 12× | 2 | valid |
| 2.0ms | 15× | 1 | valid |
Compiled 31 to 11 computations (64.5% saved)
ival-mult: 4.0ms (37% of total)ival-sub: 4.0ms (37% of total)ival-div: 2.0ms (18.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) (patch (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt -12/29 (taylor 0 x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 x) 12/29) (taylor 0 x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 x) 12/29) (taylor 0 x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 x) 12/29) (taylor 0 x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -12/29 y) (* 3 (* x y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt -4/29 (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- x 4/29) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- x 4/29) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- x 4/29) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 3 (* 12/29 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 3 (* 12/29 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 3 (* 12/29 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) (patch (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) (patch (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116))) |
| 1.0ms | y | @ | 0 | ((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116))) |
| 1.0ms | x | @ | inf | ((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116))) |
| 1.0ms | y | @ | inf | ((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116))) |
| 1.0ms | x | @ | -inf | ((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116))) |
| 1× | egg-herbie |
| 4 408× | lower-fma.f64 |
| 4 408× | lower-fma.f32 |
| 3 680× | lower-*.f64 |
| 3 680× | lower-*.f32 |
| 2 488× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 242 |
| 1 | 112 | 242 |
| 2 | 290 | 242 |
| 3 | 614 | 242 |
| 4 | 1570 | 242 |
| 5 | 2670 | 242 |
| 6 | 3756 | 242 |
| 7 | 4250 | 242 |
| 8 | 4425 | 242 |
| 9 | 4445 | 242 |
| 10 | 4459 | 242 |
| 11 | 5193 | 242 |
| 12 | 5573 | 242 |
| 13 | 5799 | 242 |
| 14 | 6250 | 242 |
| 15 | 6612 | 242 |
| 16 | 6618 | 242 |
| 17 | 6630 | 242 |
| 18 | 6630 | 242 |
| 0 | 8644 | 212 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
-12/29 |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
-4/29 |
(- x 4/29) |
(- x 4/29) |
(- x 4/29) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* 3 x) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
| Outputs |
|---|
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
| 4 904× | lower-/.f64 |
| 4 904× | lower-/.f32 |
| 4 434× | lower-fma.f64 |
| 4 434× | lower-fma.f32 |
| 4 154× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 0 | 14 | 16 |
| 1 | 35 | 16 |
| 2 | 164 | 16 |
| 3 | 1263 | 16 |
| 0 | 8918 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64)) |
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Outputs |
|---|
#s(literal 4/29 binary64) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (-.f64 #s(literal -4/29 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal -16/841 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -4/29 binary64) x #s(literal -16/841 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 4/29 binary64) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 #s(literal -4/29 binary64) x #s(literal -16/841 binary64))))) (fma.f64 x x (fma.f64 #s(literal -4/29 binary64) x #s(literal -16/841 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -4/29 binary64) x #s(literal -16/841 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (fma.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))))) |
(*.f64 (*.f64 #s(literal -3 binary64) (fma.f64 x x #s(literal -16/841 binary64))) (pow.f64 (-.f64 #s(literal -4/29 binary64) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -3 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 #s(literal -4/29 binary64) x))) |
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (*.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 144/841 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) |
(/.f64 (+.f64 #s(literal -1728/24389 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 144/841 binary64) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (fma.f64 x x #s(literal -16/841 binary64)))) (-.f64 x #s(literal -4/29 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) |
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(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 #s(literal -64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(fma.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) |
(fma.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 #s(literal -4/29 binary64) x)))) (/.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (-.f64 #s(literal -4/29 binary64) x)) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 #s(literal -4/29 binary64) x))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) (/.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (-.f64 #s(literal -4/29 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (-.f64 #s(literal -4/29 binary64) x)))))) (/.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (-.f64 #s(literal -4/29 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (-.f64 #s(literal -4/29 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (-.f64 #s(literal -4/29 binary64) x))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))))) (/.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal -4/29 binary64))) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 64/24389 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x #s(literal -4/29 binary64)) (fma.f64 x x #s(literal 16/841 binary64)))) (/.f64 #s(literal 256/707281 binary64) (*.f64 (-.f64 x #s(literal -4/29 binary64)) (fma.f64 x x #s(literal 16/841 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 x #s(literal -4/29 binary64)) (+.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (-.f64 x #s(literal -4/29 binary64)) (+.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64))))) (/.f64 #s(literal 262144/14507145975869 binary64) (*.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) x)) (-.f64 #s(literal 4/29 binary64) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) (-.f64 #s(literal 4/29 binary64) x)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 16/841 binary64))) (-.f64 x #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (-.f64 x #s(literal -4/29 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 (fma.f64 #s(literal 16/841 binary64) (*.f64 x x) #s(literal 256/707281 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal -4/29 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (fma.f64 x x (*.f64 x #s(literal 4/29 binary64))))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (fma.f64 x x (*.f64 x #s(literal 4/29 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)))) (+.f64 #s(literal 16/841 binary64) (fma.f64 x x (*.f64 x #s(literal 4/29 binary64))))) (/.f64 (/.f64 #s(literal 262144/14507145975869 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)))) (+.f64 #s(literal 16/841 binary64) (fma.f64 x x (*.f64 x #s(literal 4/29 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 16/841 binary64) (fma.f64 x x (*.f64 x #s(literal 4/29 binary64))))) (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (fma.f64 x x (*.f64 x #s(literal 4/29 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal 262144/14507145975869 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 4096/594823321 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(-.f64 (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal -4/29 binary64) x))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 4/29 binary64) x)) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (-.f64 #s(literal -4/29 binary64) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(-.f64 x #s(literal 4/29 binary64)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64)))) (*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -4/29 binary64) x #s(literal -16/841 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (*.f64 x x))))) |
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(literal -16/841 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(literal -16/841 binary64))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)) #s(literal -64/24389 binary64)) (*.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)) #s(literal -64/24389 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -4/29 binary64)) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (/.f64 #s(literal -64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))) |
(+.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal -4/29 binary64) x) |
(+.f64 x #s(literal -4/29 binary64)) |
Compiled 13 714 to 1 811 computations (86.8% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 543 | 10 | 553 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 544 | 10 | 554 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (fma.f64 y #s(literal -12/29 binary64) (*.f64 y (*.f64 #s(literal 3 binary64) x))) | |
| ▶ | 99.6% | (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) |
| 82.7% | (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) | |
| 99.4% | (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) | |
| ▶ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
| ▶ | 99.6% | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| 99.6% | (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) | |
| ▶ | 49.5% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
| ▶ | 52.5% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| 49.5% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
Compiled 148 to 140 computations (5.4% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y #s(literal -4/29 binary64)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 320 | (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))) | |
| cost-diff | 320 | (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 x #s(literal 4/29 binary64)) | |
| cost-diff | 128 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) | |
| cost-diff | 0 | #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) | |
| cost-diff | 0 | (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
| 68× | lower-*.f32 |
| 50× | lower-*.f64 |
| 36× | lower-fma.f32 |
| 32× | lower-fma.f64 |
| 26× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 100 |
| 0 | 38 | 95 |
| 1 | 61 | 89 |
| 2 | 82 | 89 |
| 0 | 82 | 89 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -12/29 binary64) |
y |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
#s(literal -12/29 binary64) |
y |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
y |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) |
#s(literal 3 binary64) |
(*.f64 y x) |
y |
x |
(*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))) |
(*.f64 y #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -12/29 binary64) |
y |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
#s(literal -12/29 binary64) |
y |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
x |
#s(literal 3 binary64) |
y |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) |
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
#s(literal 3 binary64) |
(*.f64 y x) |
y |
x |
(*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))) |
(*.f64 y #s(literal -12/29 binary64)) |
(*.f64 y #s(literal -4/29 binary64)) |
(*.f64 #s(literal -4/29 binary64) y) |
#s(literal -4/29 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.11328125 | (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) | |
| accuracy | 0.11328125 | (*.f64 y #s(literal -4/29 binary64)) | |
| accuracy | 0.34375 | (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.00390625 | (-.f64 x #s(literal 4/29 binary64)) | |
| accuracy | 0.28515625 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 0 | (*.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.140625 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) | |
| accuracy | 32.52480438988152 | #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.140625 | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) | |
| accuracy | 30.43095903131094 | #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) | |
| accuracy | 0 | (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) | |
| accuracy | 0.140625 | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
| 139.0ms | 229× | 0 | valid |
| 7.0ms | 15× | 1 | valid |
| 5.0ms | 12× | 2 | valid |
Compiled 101 to 25 computations (75.2% saved)
ival-add: 96.0ms (72.2% of total)ival-mult: 20.0ms (15% of total)const: 10.0ms (7.5% of total)ival-div: 2.0ms (1.5% of total)ival-sub: 2.0ms (1.5% of total)adjust: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) (patch #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))) (patch (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal -4/29 binary64)) (patch (*.f64 y #s(literal -4/29 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))) (patch (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))) (patch (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))) (patch (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))) (patch (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -4/29 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -4/29 binary64)) (patch (*.f64 y #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -4/29 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -4/29 binary64)) (patch (*.f64 y #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -4/29 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -4/29 binary64)) (patch (*.f64 y #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -4/29 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -4/29 binary64)) (patch (*.f64 y #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor inf y) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) (patch (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (+ (* 3 (* y x)) (* 3 (* y -4/29))) (* 3 (* y -4/29)) (* y x) (* y -4/29)) |
| 4.0ms | y | @ | -inf | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (+ (* 3 (* y x)) (* 3 (* y -4/29))) (* 3 (* y -4/29)) (* y x) (* y -4/29)) |
| 2.0ms | y | @ | inf | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (+ (* 3 (* y x)) (* 3 (* y -4/29))) (* 3 (* y -4/29)) (* y x) (* y -4/29)) |
| 2.0ms | x | @ | -inf | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (+ (* 3 (* y x)) (* 3 (* y -4/29))) (* 3 (* y -4/29)) (* y x) (* y -4/29)) |
| 1.0ms | x | @ | inf | ((* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* x 3) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (+ (* 3 (* y x)) (* 3 (* y -4/29))) (* 3 (* y -4/29)) (* y x) (* y -4/29)) |
| 1× | egg-herbie |
| 4 408× | lower-fma.f64 |
| 4 408× | lower-fma.f32 |
| 3 680× | lower-*.f64 |
| 3 680× | lower-*.f32 |
| 2 488× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 1202 |
| 1 | 132 | 1202 |
| 2 | 352 | 1202 |
| 3 | 683 | 1202 |
| 4 | 1597 | 1202 |
| 5 | 2704 | 1202 |
| 6 | 3794 | 1202 |
| 7 | 4294 | 1202 |
| 8 | 4460 | 1202 |
| 9 | 4480 | 1202 |
| 10 | 4494 | 1202 |
| 11 | 5052 | 1202 |
| 12 | 5352 | 1202 |
| 13 | 5578 | 1202 |
| 14 | 5859 | 1202 |
| 15 | 5863 | 1202 |
| 16 | 5867 | 1202 |
| 17 | 5875 | 1202 |
| 18 | 5875 | 1202 |
| 19 | 7959 | 1202 |
| 0 | 8271 | 1070 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -4/29 y) |
(* -4/29 y) |
(* -4/29 y) |
(* -4/29 y) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -4/29 y) |
(* -4/29 y) |
(* -4/29 y) |
(* -4/29 y) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -4/29 y) |
(* -4/29 y) |
(* -4/29 y) |
(* -4/29 y) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
-12/29 |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
-12/29 |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
-12/29 |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
-4/29 |
(- x 4/29) |
(- x 4/29) |
(- x 4/29) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* 3 x) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* 3 x) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* 3 x) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* 3 (* x y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* 3 (* x y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
| 9 034× | lower-fma.f32 |
| 9 030× | lower-fma.f64 |
| 6 424× | lower-*.f32 |
| 6 406× | lower-*.f64 |
| 2 208× | lower-/.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 83 |
| 0 | 38 | 78 |
| 1 | 101 | 72 |
| 2 | 548 | 72 |
| 3 | 5383 | 72 |
| 0 | 8711 | 72 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(-.f64 x #s(literal 4/29 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) |
(*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))) |
(*.f64 y x) |
(*.f64 y #s(literal -4/29 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) y) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) y) (fma.f64 x x #s(literal -16/841 binary64))) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 #s(literal 4/29 binary64) x))) |
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(fma.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (*.f64 y #s(literal -12/29 binary64))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) (exp.f64 (log.f64 y)) (*.f64 y #s(literal -12/29 binary64))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 y #s(literal -12/29 binary64))) |
(fma.f64 y (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal -12/29 binary64))) |
(fma.f64 y #s(literal -12/29 binary64) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(fma.f64 #s(literal -12/29 binary64) y (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 2 binary64)) (*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))))) |
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 x #s(literal -4/29 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 2 binary64)) (*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal -4/29 binary64) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 y #s(literal -12/29 binary64))) |
(fma.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 3 binary64)))) (*.f64 y #s(literal -12/29 binary64))) |
(fma.f64 x (*.f64 y #s(literal 3 binary64)) (*.f64 y #s(literal -12/29 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x))) (/.f64 (pow.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -4/29 binary64) x)))) |
(-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 x #s(literal -4/29 binary64))))) (/.f64 (pow.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 2 binary64)) (*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 x #s(literal -4/29 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 2 binary64)) (*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))))) |
(+.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 y #s(literal -12/29 binary64))) |
(+.f64 (*.f64 y #s(literal -12/29 binary64)) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 (exp.f64 (log.f64 #s(literal -4/29 binary64))) (exp.f64 (log.f64 (*.f64 y #s(literal 3 binary64))))) |
(*.f64 (exp.f64 (log.f64 #s(literal -12/29 binary64))) (exp.f64 (log.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -12/29 binary64)))) |
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 #s(literal -4/29 binary64) y)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal -4/29 binary64) y))) (exp.f64 (log.f64 #s(literal 3 binary64)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 y #s(literal 3 binary64)))) (exp.f64 (log.f64 #s(literal -4/29 binary64)))) |
(*.f64 (*.f64 #s(literal -4/29 binary64) y) #s(literal 3 binary64)) |
(*.f64 #s(literal -4/29 binary64) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)) |
(*.f64 y #s(literal -12/29 binary64)) |
(*.f64 #s(literal -12/29 binary64) y) |
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal -4/29 binary64) y)) |
(pow.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -12/29 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 y #s(literal -12/29 binary64)))) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 #s(literal -4/29 binary64) y) |
(*.f64 y #s(literal -4/29 binary64)) |
Compiled 17 789 to 1 153 computations (93.5% saved)
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 979 | 4 | 983 |
| Fresh | 2 | 3 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 983 | 10 | 993 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) |
| 82.7% | (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) | |
| 99.4% | (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) | |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
| ▶ | 99.6% | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
| ▶ | 52.4% | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 49.5% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
| ✓ | 52.5% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ▶ | 49.5% | #s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
| ▶ | 49.5% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
Compiled 122 to 119 computations (2.5% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 4/29 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) | |
| cost-diff | 128 | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 3 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) | |
| cost-diff | 0 | (*.f64 y #s(literal -12/29 binary64)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 320 | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) |
| 80× | lower-*.f32 |
| 62× | lower-*.f64 |
| 36× | lower-fma.f32 |
| 34× | lower-fma.f64 |
| 32× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 109 |
| 0 | 43 | 106 |
| 1 | 76 | 104 |
| 2 | 99 | 104 |
| 3 | 101 | 104 |
| 0 | 101 | 100 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) |
(*.f64 y x) |
y |
x |
#s(literal 3 binary64) |
(*.f64 y #s(literal -12/29 binary64)) |
#s(literal -12/29 binary64) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
x |
#s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 x y) |
x |
y |
#s(literal 3 binary64) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
y |
#s(literal 3 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(literal 3 binary64) |
(*.f64 y #s(literal -12/29 binary64)) |
(*.f64 #s(literal -12/29 binary64) y) |
#s(literal -12/29 binary64) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
#s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
y |
#s(literal 3 binary64) |
x |
#s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
#s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 x y) |
x |
y |
#s(literal 3 binary64) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
y |
#s(literal 3 binary64) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(-.f64 x #s(literal 4/29 binary64)) |
x |
#s(literal 4/29 binary64) |
y |
#s(literal 3 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 x #s(literal 4/29 binary64)) | |
| accuracy | 0.06640625 | (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) | |
| accuracy | 0.2734375 | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.28515625 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 30.4098649054607 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.2109375 | (*.f64 (*.f64 x y) #s(literal 3 binary64)) | |
| accuracy | 32.20479362289661 | #s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.23046875 | (*.f64 (*.f64 y #s(literal 3 binary64)) x) | |
| accuracy | 32.20479362289661 | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.08984375 | (*.f64 y #s(literal -12/29 binary64)) | |
| accuracy | 0.11328125 | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) |
| 61.0ms | 256× | 0 | valid |
Compiled 98 to 30 computations (69.4% saved)
ival-mult: 24.0ms (55.5% of total)const: 12.0ms (27.8% of total)ival-div: 2.0ms (4.6% of total)ival-sub: 2.0ms (4.6% of total)ival-add: 2.0ms (4.6% 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 (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal -12/29 binary64)) (patch (*.f64 y #s(literal -12/29 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (patch #s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 4/29 binary64)) (patch (-.f64 x #s(literal 4/29 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -12/29 binary64)) (patch (*.f64 y #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -12/29 binary64)) (patch (*.f64 y #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -12/29 binary64)) (patch (*.f64 y #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -12/29 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -12/29 binary64)) (patch (*.f64 y #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | ((+ (* (* y x) 3) (* y -12/29)) (* y x) (* y -12/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (+ (* 3 (* y x)) (* 3 (* y -4/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29)) |
| 1.0ms | y | @ | inf | ((+ (* (* y x) 3) (* y -12/29)) (* y x) (* y -12/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (+ (* 3 (* y x)) (* 3 (* y -4/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29)) |
| 1.0ms | x | @ | -inf | ((+ (* (* y x) 3) (* y -12/29)) (* y x) (* y -12/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (+ (* 3 (* y x)) (* 3 (* y -4/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29)) |
| 1.0ms | y | @ | 0 | ((+ (* (* y x) 3) (* y -12/29)) (* y x) (* y -12/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (+ (* 3 (* y x)) (* 3 (* y -4/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29)) |
| 1.0ms | x | @ | inf | ((+ (* (* y x) 3) (* y -12/29)) (* y x) (* y -12/29) (* (* (- x (/ 16 116)) 3) y) (* (* y 3) x) (* y 3) (+ (* 3 (* y x)) (* 3 (* y -4/29))) (* (* x y) 3) (* x y) (* (- x 4/29) (* y 3)) (- x 4/29) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29)) |
| 1× | egg-herbie |
| 3 792× | lower-/.f32 |
| 3 792× | lower-/.f64 |
| 2 984× | lower-fma.f64 |
| 2 984× | lower-fma.f32 |
| 2 712× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 1430 |
| 1 | 148 | 1430 |
| 2 | 400 | 1430 |
| 3 | 773 | 1430 |
| 4 | 2078 | 1430 |
| 5 | 3710 | 1430 |
| 6 | 4439 | 1430 |
| 7 | 4628 | 1430 |
| 8 | 4717 | 1430 |
| 9 | 4771 | 1430 |
| 10 | 4823 | 1430 |
| 11 | 5169 | 1430 |
| 12 | 5761 | 1430 |
| 13 | 6083 | 1430 |
| 14 | 6093 | 1430 |
| 15 | 6093 | 1430 |
| 16 | 6093 | 1430 |
| 0 | 8093 | 1325 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* -12/29 y) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
-4/29 |
(- x 4/29) |
(- x 4/29) |
(- x 4/29) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
(+ (* -4/29 y) (* x y)) |
(+ (* -4/29 y) (* x y)) |
-4/29 |
(- x 4/29) |
(- x 4/29) |
(- x 4/29) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x y) |
(* x (+ y (* -4/29 (/ y x)))) |
(* x (+ y (* -4/29 (/ y x)))) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
| Outputs |
|---|
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* y (+ 12/29 (* -3 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(+ (* -4/29 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(+ (* -4/29 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(+ (* -4/29 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
| 8 230× | lower-fma.f32 |
| 8 228× | lower-fma.f64 |
| 5 322× | lower-*.f32 |
| 5 304× | lower-*.f64 |
| 4 218× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 89 |
| 0 | 43 | 86 |
| 1 | 119 | 84 |
| 2 | 642 | 84 |
| 3 | 4980 | 84 |
| 0 | 9152 | 80 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) |
(*.f64 y x) |
(*.f64 y #s(literal -12/29 binary64)) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(*.f64 y #s(literal 3 binary64)) |
#s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 x y) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(-.f64 x #s(literal 4/29 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 #s(literal 4/29 binary64) x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) y) (+.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (fma.f64 x x #s(literal -16/841 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1728/24389 binary64)))) (fma.f64 (*.f64 #s(literal -36/29 binary64) y) (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -36/29 binary64) y) (-.f64 (*.f64 #s(literal -4/29 binary64) y) (*.f64 x y))) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 (*.f64 (*.f64 x y) #s(literal -36/29 binary64)) y))) |
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -36/29 binary64) y) (-.f64 (*.f64 #s(literal -4/29 binary64) y) (*.f64 x y))) #s(literal 3 binary64)))) (fma.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -36/29 binary64) y) (-.f64 (*.f64 #s(literal -4/29 binary64) y) (*.f64 x y))) (-.f64 (*.f64 (*.f64 #s(literal -36/29 binary64) y) (-.f64 (*.f64 #s(literal -4/29 binary64) y) (*.f64 x y))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (fma.f64 x x #s(literal -16/841 binary64))) (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (fma.f64 x x #s(literal -16/841 binary64)))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) (*.f64 #s(literal 3 binary64) y)) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) y) (-.f64 x #s(literal -4/29 binary64)))) |
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(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))) (neg.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))) (neg.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))) |
(fma.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -4/29 binary64) x)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -4/29 binary64) x))))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 x #s(literal -4/29 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))))) |
(-.f64 x #s(literal 4/29 binary64)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 x #s(literal -4/29 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))) (neg.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))) |
(+.f64 #s(literal -4/29 binary64) x) |
(+.f64 x #s(literal -4/29 binary64)) |
Compiled 22 290 to 1 777 computations (92% saved)
11 alts after pruning (3 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 103 | 2 | 1 105 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 104 | 11 | 1 115 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) |
| ▶ | 99.4% | (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
| ▶ | 99.6% | (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
| ✓ | 99.6% | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
| ▶ | 52.3% | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
| ✓ | 52.4% | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 49.5% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
| ✓ | 52.5% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ✓ | 49.5% | #s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
| ✓ | 49.5% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
Compiled 71 to 72 computations (-1.4% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) | |
| cost-diff | 192 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) | |
| cost-diff | 896 | (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 128 | (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) | |
| cost-diff | 192 | (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) | |
| cost-diff | 0 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
| 112× | lower-*.f32 |
| 104× | lower-*.f64 |
| 70× | lower-/.f32 |
| 66× | lower-/.f64 |
| 64× | lower-fma.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 68 |
| 0 | 27 | 68 |
| 1 | 43 | 65 |
| 2 | 72 | 63 |
| 3 | 104 | 63 |
| 4 | 127 | 63 |
| 5 | 129 | 62 |
| 6 | 134 | 62 |
| 7 | 144 | 62 |
| 8 | 157 | 62 |
| 9 | 169 | 62 |
| 10 | 182 | 62 |
| 11 | 191 | 62 |
| 12 | 196 | 62 |
| 0 | 196 | 62 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
y |
#s(literal 3 binary64) |
(*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) |
(fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) |
y |
#s(literal -4/29 binary64) |
(*.f64 x y) |
x |
#s(literal 3 binary64) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
y |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal -12/29 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) |
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
y |
#s(literal 3 binary64) |
(*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
(fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) |
(*.f64 y (-.f64 x #s(literal 4/29 binary64))) |
y |
#s(literal -4/29 binary64) |
(*.f64 x y) |
(*.f64 y x) |
x |
#s(literal 3 binary64) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) |
y |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal -12/29 binary64) |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) | |
| accuracy | 0.1328125 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) | |
| accuracy | 0.34375 | (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.05859375 | (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) | |
| accuracy | 0.2734375 | (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) | |
| accuracy | 0.06640625 | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) | |
| accuracy | 0.2734375 | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) | |
| accuracy | 30.4098649054607 | #s(approx (- x 4/29) #s(literal -4/29 binary64)) |
| 43.0ms | 229× | 0 | valid |
| 4.0ms | 12× | 2 | valid |
| 4.0ms | 15× | 1 | valid |
Compiled 69 to 20 computations (71% saved)
const: 15.0ms (39.2% of total)ival-mult: 13.0ms (34% of total)ival-div: 4.0ms (10.5% of total)ival-add: 3.0ms (7.8% of total)adjust: 1.0ms (2.6% of total)ival-sub: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) (patch (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) (patch (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) (patch (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) (patch (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) (patch (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) #<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 (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 3 x) 12/29)) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y (- x 4/29))) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) (patch (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) (patch (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- x 4/29)) (taylor inf y) (#s(alt (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) (patch (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ y (* -4/29 (/ y x)))) (taylor inf x) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) (patch (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -4/29 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) (patch (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -4/29 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) (patch (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -4/29 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) (patch (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) #<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 (* 3 (* x y)) (taylor inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -12/29 (/ y x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 3 (* 12/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 3 (* 12/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 3 (* 12/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) (patch (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x 4/29) #s(literal -4/29 binary64)) (patch #s(approx (- x 4/29) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) (patch (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) (patch (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) (patch (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) (patch (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) #<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 (* 3 (* x y)) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (+ (* y -4/29) (* x y)) (* (+ (* y -4/29) (* x y)) 3) (* x y) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 2.0ms | y | @ | -inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (+ (* y -4/29) (* x y)) (* (+ (* y -4/29) (* x y)) 3) (* x y) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 2.0ms | x | @ | -inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (+ (* y -4/29) (* x y)) (* (+ (* y -4/29) (* x y)) 3) (* x y) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 1.0ms | y | @ | inf | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (+ (* y -4/29) (* x y)) (* (+ (* y -4/29) (* x y)) 3) (* x y) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 1.0ms | y | @ | 0 | ((* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (+ (* y -4/29) (* x y)) (* (+ (* y -4/29) (* x y)) 3) (* x y) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29)) |
| 1× | egg-herbie |
| 5 836× | lower-fma.f64 |
| 5 836× | lower-fma.f32 |
| 2 426× | lower-*.f64 |
| 2 426× | lower-*.f32 |
| 1 998× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 974 |
| 1 | 292 | 974 |
| 2 | 713 | 974 |
| 3 | 1423 | 974 |
| 4 | 3780 | 966 |
| 5 | 5755 | 966 |
| 0 | 8093 | 888 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* 3 (* y (- x 4/29))) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* y (- x 4/29)) |
(* -1 (* y (+ 4/29 (* -1 x)))) |
(* -1 (* y (+ 4/29 (* -1 x)))) |
(* -1 (* y (+ 4/29 (* -1 x)))) |
(* -1 (* y (+ 4/29 (* -1 x)))) |
(* -3 (* y (+ 4/29 (* -1 x)))) |
(* -3 (* y (+ 4/29 (* -1 x)))) |
(* -3 (* y (+ 4/29 (* -1 x)))) |
(* -3 (* y (+ 4/29 (* -1 x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* y (- (* 3 x) 12/29)) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
(+ (* -4/29 y) (* x y)) |
(+ (* -4/29 y) (* x y)) |
-4/29 |
(- x 4/29) |
(- x 4/29) |
(- x 4/29) |
(* -4/29 y) |
(+ (* -4/29 y) (* x y)) |
(+ (* -4/29 y) (* x y)) |
(+ (* -4/29 y) (* x y)) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -12/29 y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
(+ (* -12/29 y) (* 3 (* x y))) |
-29/12 |
(- (* -841/48 x) 29/12) |
(- (* x (- (* -24389/192 x) 841/48)) 29/12) |
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12) |
-12/29 |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(- (* 3 x) 12/29) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x y) |
(* x (+ y (* -4/29 (/ y x)))) |
(* x (+ y (* -4/29 (/ y x)))) |
(* x (+ y (* -4/29 (/ y x)))) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(* x y) |
(* x (+ y (* -4/29 (/ y x)))) |
(* x (+ y (* -4/29 (/ y x)))) |
(* x (+ y (* -4/29 (/ y x)))) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* x y)) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(/ 1/3 x) |
(/ (+ 1/3 (* 4/87 (/ 1 x))) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x) |
(* 3 x) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(/ 1/3 x) |
(/ (+ 1/3 (* 4/87 (/ 1 x))) x) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) |
(* 3 x) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
| Outputs |
|---|
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* 3 (* y (- x 4/29))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* y (- x 4/29)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -1 (* y (+ 4/29 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -1 (* y (+ 4/29 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -1 (* y (+ 4/29 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -1 (* y (+ 4/29 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -3 (* y (+ 4/29 (* -1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -3 (* y (+ 4/29 (* -1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -3 (* y (+ 4/29 (* -1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -3 (* y (+ 4/29 (* -1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* y (- (* 3 x) 12/29)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(+ (* -4/29 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(+ (* -4/29 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(+ (* -4/29 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
-4/29 |
#s(literal -4/29 binary64) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(- x 4/29) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -4/29 y) |
(*.f64 #s(literal -4/29 binary64) y) |
(+ (* -4/29 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(+ (* -4/29 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(+ (* -4/29 y) (* x y)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* -12/29 y) |
(*.f64 #s(literal -12/29 binary64) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(+ (* -12/29 y) (* 3 (* x y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
-29/12 |
#s(literal -29/12 binary64) |
(- (* -841/48 x) 29/12) |
(fma.f64 #s(literal -841/48 binary64) x #s(literal -29/12 binary64)) |
(- (* x (- (* -24389/192 x) 841/48)) 29/12) |
(fma.f64 (fma.f64 #s(literal -24389/192 binary64) x #s(literal -841/48 binary64)) x #s(literal -29/12 binary64)) |
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -707281/768 binary64) x #s(literal -24389/192 binary64)) x #s(literal -841/48 binary64)) x #s(literal -29/12 binary64)) |
-12/29 |
#s(literal -12/29 binary64) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(- (* 3 x) 12/29) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
x |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x (- 1 (* 4/29 (/ 1 x)))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* x (+ y (* -4/29 (/ y x)))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* 3 (* x y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x (+ (* -12/29 (/ y x)) (* 3 y))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 4/87 (/ 1 x))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 4/87 binary64) x) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x) |
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* x (- 3 (* 12/29 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
x |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4/29 binary64)) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x))))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* 3 (* x y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) x) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 4/87 (/ 1 x))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 4/87 binary64) x) #s(literal 1/3 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(* -1 (* x (- (* 12/29 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
| 5 500× | lower-fma.f32 |
| 5 496× | lower-fma.f64 |
| 4 554× | lower-*.f32 |
| 4 546× | lower-*.f64 |
| 2 534× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 56 |
| 0 | 27 | 56 |
| 1 | 98 | 53 |
| 2 | 594 | 51 |
| 3 | 5604 | 51 |
| 0 | 8226 | 51 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) |
(*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) |
(*.f64 x y) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- x 4/29) #s(literal -4/29 binary64))) y) |
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))) |
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 y (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) #s(approx (- x 4/29) #s(literal -4/29 binary64))))) |
(*.f64 y (*.f64 #s(literal 3 binary64) #s(approx (- x 4/29) #s(literal -4/29 binary64)))) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y)) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 3 binary64) #s(approx (- x 4/29) #s(literal -4/29 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) #s(approx (- x 4/29) #s(literal -4/29 binary64)))) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 3 binary64) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 1 binary64)) |
(*.f64 y (*.f64 #s(literal 1 binary64) #s(approx (- x 4/29) #s(literal -4/29 binary64)))) |
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) |
(/.f64 (*.f64 (neg.f64 y) #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (- x 4/29) #s(literal -4/29 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (pow.f64 y #s(literal -1 binary64))) |
#s(approx (- x 4/29) #s(literal -4/29 binary64)) |
(*.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal 4/29 binary64)) (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (-.f64 (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -4/29 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -4/29 binary64))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 4096/594823321 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -4/29 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -4/29 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -4/29 binary64))) (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (*.f64 (*.f64 y y) (-.f64 #s(literal 16/841 binary64) (*.f64 x x)))) (*.f64 y (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) y) (/.f64 (*.f64 (-.f64 #s(literal -4/29 binary64) x) y) (-.f64 #s(literal -4/29 binary64) x))) |
(*.f64 (*.f64 y (fma.f64 x x #s(literal -16/841 binary64))) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -16/841 binary64))) (pow.f64 (*.f64 y (-.f64 x #s(literal -4/29 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal -4/29 binary64) x) y) #s(literal -1 binary64)) (*.f64 (*.f64 y y) (-.f64 #s(literal 16/841 binary64) (*.f64 x x)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -4/29 binary64)) (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) |
(*.f64 (neg.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 16/841 binary64) (*.f64 x x)))) (pow.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal -4/29 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -4/29 binary64)) (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (pow.f64 (*.f64 (-.f64 #s(literal -4/29 binary64) x) y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -4/29 binary64)) (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -4/29 binary64)) (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -4/29 binary64)) (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -4/29 binary64)) (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -4/29 binary64)) (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x #s(literal 4/29 binary64)))) |
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (/.f64 (*.f64 (-.f64 #s(literal -4/29 binary64) x) y) (*.f64 (-.f64 #s(literal -4/29 binary64) x) y))) |
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) (*.f64 (*.f64 (-.f64 #s(literal -4/29 binary64) x) y) (pow.f64 (*.f64 (-.f64 #s(literal -4/29 binary64) x) y) #s(literal -1 binary64)))) |
(*.f64 y (-.f64 x #s(literal 4/29 binary64))) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y) |
(pow.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y (-.f64 x #s(literal -4/29 binary64))) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -16/841 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal -4/29 binary64) x) y) #s(literal -1 binary64))) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal -4/29 binary64) x) y) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 256/707281 binary64) (fma.f64 #s(literal 16/841 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -4/29 binary64)) (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal -262144/14507145975869 binary64) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -4/29 binary64)) (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 4096/594823321 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal -64/24389 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (neg.f64 y) (-.f64 x #s(literal 4/29 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -4/29 binary64)) (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 16/841 binary64) y) (-.f64 #s(literal -4/29 binary64) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) y) (-.f64 #s(literal -4/29 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 16/841 binary64) y) (-.f64 #s(literal -4/29 binary64) x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) y) (-.f64 #s(literal -4/29 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 16/841 binary64) y) (-.f64 #s(literal -4/29 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) y) (-.f64 #s(literal -4/29 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 16/841 binary64) y) (-.f64 #s(literal -4/29 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) y) (-.f64 #s(literal -4/29 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 16/841 binary64) y) (-.f64 #s(literal -4/29 binary64) x))) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) y) (-.f64 #s(literal -4/29 binary64) x)))))) |
(/.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) y) (-.f64 #s(literal -4/29 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -16/841 binary64)))) (neg.f64 (*.f64 y (-.f64 x #s(literal -4/29 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 16/841 binary64) (*.f64 x x))))) (neg.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal -4/29 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -4/29 binary64)) (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 16/841 binary64))) (*.f64 (-.f64 #s(literal -4/29 binary64) x) y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 256/707281 binary64) (fma.f64 #s(literal 16/841 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal -4/29 binary64) x) y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -4/29 binary64)) (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal -262144/14507145975869 binary64) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 4096/594823321 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal -64/24389 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))))) (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal -4/29 binary64)) (pow.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 2 binary64))))) |
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(/.f64 (-.f64 #s(literal 144/841 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) |
(/.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -2985984/594823321 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1296/841 binary64) #s(literal 20736/707281 binary64))))) |
(/.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -2985984/594823321 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64)))) |
(/.f64 (fma.f64 #s(literal 19683 binary64) (pow.f64 x #s(literal 9 binary64)) #s(literal -5159780352/14507145975869 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 2985984/594823321 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -46656/24389 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) |
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (neg.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))) |
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))) |
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 144/841 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64) #s(literal -12/29 binary64)) |
(fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x) #s(literal -12/29 binary64)) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64) #s(literal -12/29 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)) |
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) |
(fma.f64 x (/.f64 (*.f64 #s(literal 9 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) |
(-.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) #s(literal -12/29 binary64)) |
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -12/29 binary64)) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) #s(literal -12/29 binary64)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) #s(literal -12/29 binary64)) |
(+.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) #s(literal -12/29 binary64)) |
(+.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))) |
(+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64)) |
(+.f64 #s(literal -12/29 binary64) (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))) |
(+.f64 #s(literal -12/29 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))) |
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))) |
(+.f64 #s(literal -12/29 binary64) (neg.f64 (*.f64 #s(literal -3 binary64) x))) |
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)) |
Compiled 13 010 to 1 588 computations (87.8% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 829 | 1 | 830 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 8 | 8 |
| Total | 830 | 11 | 841 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) |
| 52.3% | (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) | |
| ✓ | 99.6% | (*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
| ✓ | 99.6% | (*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
| ✓ | 52.3% | (*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
| ✓ | 52.4% | (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 49.5% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
| ✓ | 52.5% | (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| ✓ | 49.5% | #s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
| ✓ | 49.5% | #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
Compiled 195 to 128 computations (34.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
#s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) |
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) y) #s(literal 3 binary64)) |
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (fma.f64 y #s(literal -4/29 binary64) (*.f64 x y)) #s(literal 3 binary64)) |
(fma.f64 y #s(literal -12/29 binary64) (*.f64 y (*.f64 #s(literal 3 binary64) x))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)))) |
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
5 calls:
| 24.0ms | x |
| 5.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 5.0ms | y |
| 5.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 5.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 99.8% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 99.8% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 23 to 27 computations (-17.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
#s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y) |
5 calls:
| 3.0ms | y |
| 3.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 2.0ms | x |
| 2.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| 2.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | x |
| 57.7% | 3 | y |
| 83.9% | 3 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 98.3% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 98.3% | 3 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 23 to 27 computations (-17.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
#s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) |
3 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 2.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | x |
| 98.3% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 98.3% | 3 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 13 to 16 computations (-23.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
| Outputs |
|---|
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) |
3 calls:
| 15.0ms | x |
| 1.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 1.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | x |
| 98.2% | 3 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 98.2% | 3 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 13 to 16 computations (-23.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| Outputs |
|---|
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
5 calls:
| 1.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 1.0ms | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.5% | 1 | y |
| 52.5% | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y) |
| 52.5% | 1 | x |
| 52.5% | 1 | (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) |
| 52.5% | 1 | (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) |
Compiled 23 to 27 computations (-17.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.13793102722846703 | 28736985000818.43 |
| 0.0ms | -1020656.0712774979 | -0.1437136522822599 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.13793102722846703 | 28736985000818.43 |
| 0.0ms | -1020656.0712774979 | -0.1437136522822599 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.13793102722846703 | 28736985000818.43 |
| 0.0ms | -1020656.0712774979 | -0.1437136522822599 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | egg-herbie |
| 22× | *-commutative-binary64-*.f64 |
| 8× | +-commutative-binary64-+.f64 |
| 8× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 6× | neg-sub0-binary64--.f64-neg.f64 |
| 6× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 178 |
| 1 | 52 | 178 |
| 2 | 61 | 178 |
| 3 | 67 | 178 |
| 4 | 72 | 178 |
| 5 | 74 | 178 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1000000 binary64)) #s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1000000 binary64)) #s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1000000 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y) |
(*.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1000000 binary64)) #s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))) y))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1000000 binary64)) #s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1000000 binary64)) #s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 x y) #s(literal 3 binary64))))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1000000 binary64)) #s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (+ (* 3 (* y x)) (* 3 (* y -4/29))) (*.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1000000 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 y #s(literal 3 binary64)) x)))) |
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) |
| 4 904× | lower-/.f64 |
| 4 904× | lower-/.f32 |
| 4 434× | lower-fma.f64 |
| 4 434× | lower-fma.f32 |
| 4 408× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 242 |
| 1 | 112 | 242 |
| 2 | 290 | 242 |
| 3 | 614 | 242 |
| 4 | 1570 | 242 |
| 5 | 2670 | 242 |
| 6 | 3756 | 242 |
| 7 | 4250 | 242 |
| 8 | 4425 | 242 |
| 9 | 4445 | 242 |
| 10 | 4459 | 242 |
| 11 | 5193 | 242 |
| 12 | 5573 | 242 |
| 13 | 5799 | 242 |
| 14 | 6250 | 242 |
| 15 | 6612 | 242 |
| 16 | 6618 | 242 |
| 17 | 6630 | 242 |
| 18 | 6630 | 242 |
| 0 | 8644 | 212 |
| 0 | 48 | 1202 |
| 1 | 132 | 1202 |
| 2 | 352 | 1202 |
| 3 | 683 | 1202 |
| 4 | 1597 | 1202 |
| 5 | 2704 | 1202 |
| 6 | 3794 | 1202 |
| 7 | 4294 | 1202 |
| 8 | 4460 | 1202 |
| 9 | 4480 | 1202 |
| 10 | 4494 | 1202 |
| 11 | 5052 | 1202 |
| 12 | 5352 | 1202 |
| 13 | 5578 | 1202 |
| 14 | 5859 | 1202 |
| 15 | 5863 | 1202 |
| 16 | 5867 | 1202 |
| 17 | 5875 | 1202 |
| 18 | 5875 | 1202 |
| 19 | 7959 | 1202 |
| 0 | 8271 | 1070 |
| 0 | 9 | 16 |
| 0 | 14 | 16 |
| 1 | 35 | 16 |
| 2 | 164 | 16 |
| 3 | 1263 | 16 |
| 0 | 8918 | 14 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 191 to 107 computations (44% saved)
(negabs y)
Compiled 268 to 118 computations (56% saved)
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