
Time bar (total: 5.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 739.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
ival-mult: 115.0ms (40.6% of total)ival-add: 80.0ms (28.2% of total)ival-div: 75.0ms (26.5% of total)ival-true: 6.0ms (2.1% of total)exact: 4.0ms (1.4% of total)ival-assert: 3.0ms (1.1% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 0 | 0 | - | 0 | - | (*.f64 y x) |
| 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 |
| 27.0ms | 512× | 0 | valid |
Compiled 91 to 42 computations (53.8% saved)
ival-add: 4.0ms (32.3% of total)ival-mult: 4.0ms (32.3% of total)ival-div: 3.0ms (24.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 386× | distribute-rgt-in |
| 336× | sub-neg |
| 268× | unsub-neg |
| 230× | associate-+l- |
| 226× | cancel-sign-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 88 |
| 1 | 88 | 82 |
| 2 | 232 | 81 |
| 3 | 662 | 69 |
| 4 | 1166 | 65 |
| 5 | 1714 | 63 |
| 6 | 2190 | 63 |
| 7 | 2376 | 63 |
| 8 | 2424 | 63 |
| 9 | 2432 | 63 |
| 10 | 2432 | 63 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 17 | 9 |
| 2 | 24 | 9 |
| 3 | 26 | 9 |
| 0 | 26 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| Outputs |
|---|
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
(+.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) | |
| cost-diff | 128 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 24× | lower-+.f32 |
| 20× | lower-+.f64 |
| 12× | lower-fma.f64 |
| 12× | lower-fma.f32 |
| 10× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 0 | 12 | 26 |
| 1 | 17 | 26 |
| 2 | 24 | 26 |
| 3 | 26 | 26 |
| 0 | 26 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 y x) |
y |
z |
| Outputs |
|---|
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
(+.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) |
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
(fma.f64 y x (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 y x) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x #s(literal 2 binary64)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) | |
| accuracy | 0.0078125 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 13.0ms | 256× | 0 | valid |
Compiled 28 to 10 computations (64.3% saved)
ival-div: 2.0ms (33.6% of total)ival-add: 2.0ms (33.6% of total)ival-mult: 2.0ms (33.6% 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 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 1/2 x)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<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 (* x y) (taylor inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 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>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (patch (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) (patch (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 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>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | x | @ | inf | ((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x)) |
| 2.0ms | x | @ | -inf | ((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x)) |
| 1.0ms | y | @ | -inf | ((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x)) |
| 1.0ms | x | @ | 0 | ((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x)) |
| 0.0ms | y | @ | inf | ((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x)) |
| 1× | egg-herbie |
| 6 434× | lower-fma.f64 |
| 6 434× | lower-fma.f32 |
| 2 474× | lower-*.f64 |
| 2 474× | lower-*.f32 |
| 1 356× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 440 |
| 1 | 174 | 440 |
| 2 | 488 | 440 |
| 3 | 1308 | 440 |
| 4 | 3609 | 440 |
| 5 | 6674 | 440 |
| 0 | 8210 | 412 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 1/2 x) (* x y)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
z |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* 1/2 x) |
(+ (* 1/2 x) (* x y)) |
(+ (* 1/2 x) (* x y)) |
(+ (* 1/2 x) (* x y)) |
(+ z (* 1/2 x)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (* 1/2 (/ x y)))) |
(* y (+ x (* 1/2 (/ x y)))) |
(* y (+ x (* 1/2 (/ x y)))) |
(* x y) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
z |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(+ (* 1/2 x) (* x y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
z |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(+ (* 1/2 x) (* x y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(+ (* 1/2 x) (* x y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(+ (* 1/2 x) (* x y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(+ z (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* 1/2 (/ x y)))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* y (+ x (* 1/2 (/ x y)))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* y (+ x (* 1/2 (/ x y)))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
z |
(+ z (* x (+ 1/2 y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (* x (+ 1/2 y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (* x (+ 1/2 y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 (+ y (/ z x)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x (+ 1/2 (+ y (/ z x)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x (+ 1/2 (+ y (/ z x)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (- (* -1 y) 1/2))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (- (* -1 y) 1/2))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (- (* -1 y) 1/2))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (- (* -1 y) 1/2))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (- (* -1 y) 1/2))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
| 7 074× | lower-fma.f64 |
| 7 074× | lower-fma.f32 |
| 4 356× | lower-*.f32 |
| 4 354× | lower-*.f64 |
| 2 578× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 0 | 12 | 22 |
| 1 | 52 | 18 |
| 2 | 452 | 18 |
| 3 | 6077 | 18 |
| 0 | 8040 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
(/.f64 x #s(literal 2 binary64)) |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y x) x) (+.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4 binary64)) (pow.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
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(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 (neg.f64 x) #s(literal -2 binary64)) |
(/.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) y) x) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
Compiled 6 518 to 757 computations (88.4% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 329 | 6 | 335 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 330 | 6 | 336 |
| Status | Accuracy | Program |
|---|---|---|
| 100.0% | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) | |
| ▶ | 100.0% | (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
| ▶ | 71.6% | (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
| ▶ | 66.1% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) |
| ▶ | 63.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
| ▶ | 35.6% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
Compiled 68 to 72 computations (-5.9% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) | |
| cost-diff | 0 | (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) | |
| cost-diff | 0 | (-.f64 y #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 x #s(literal 1/2 binary64) z) | |
| cost-diff | 0 | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) x z) | |
| cost-diff | 192 | (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
| 52× | lower-+.f32 |
| 50× | lower-+.f64 |
| 36× | lower-fma.f32 |
| 30× | lower-fma.f64 |
| 24× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 110 |
| 0 | 30 | 110 |
| 1 | 45 | 110 |
| 2 | 60 | 110 |
| 3 | 62 | 110 |
| 0 | 62 | 104 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
y |
x |
(fma.f64 #s(literal 1/2 binary64) x z) |
#s(literal 1/2 binary64) |
z |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) |
(fma.f64 x #s(literal 1/2 binary64) z) |
x |
#s(literal 1/2 binary64) |
z |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(-.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
x |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
z |
| Outputs |
|---|
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
y |
x |
(fma.f64 #s(literal 1/2 binary64) x z) |
#s(literal 1/2 binary64) |
z |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(fma.f64 #s(literal 1/2 binary64) x z) |
x |
#s(literal 1/2 binary64) |
z |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(-.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
x |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
z |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.00390625 | (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) | |
| accuracy | 32.0095040765115 | #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) | |
| accuracy | 0 | (-.f64 y #s(literal -1/2 binary64)) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) | |
| accuracy | 23.650067536283682 | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) | |
| accuracy | 0 | (fma.f64 x #s(literal 1/2 binary64) z) | |
| accuracy | 21.6840419628263 | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 41.1983195373441 | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) | |
| accuracy | 0 | (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) | |
| accuracy | 0 | (fma.f64 #s(literal 1/2 binary64) x z) |
| 58.0ms | 256× | 0 | valid |
Compiled 93 to 19 computations (79.6% saved)
ival-mult: 37.0ms (80.9% of total)ival-add: 5.0ms (10.9% of total)ival-div: 1.0ms (2.2% of total)ival-sub: 1.0ms (2.2% 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 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/2 binary64) x z) (patch (fma.f64 #s(literal 1/2 binary64) x z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) (patch (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(literal -1/2 binary64)) (patch (-.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) (patch (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 z) (#s(alt (fma.f64 #s(literal 1/2 binary64) x z) (patch (fma.f64 #s(literal 1/2 binary64) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 1/2 x)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 1/2 binary64) x z) (patch (fma.f64 #s(literal 1/2 binary64) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 1/2 x)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 1/2 binary64) x z) (patch (fma.f64 #s(literal 1/2 binary64) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 1/2 x)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 1/2 binary64) x z) (patch (fma.f64 #s(literal 1/2 binary64) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 1/2 x)) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 1/2 x)) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 1/2 x)) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) (patch (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) (patch (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) (patch (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) (patch (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) (patch (fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (fma.f64 #s(literal 1/2 binary64) x z) (patch (fma.f64 #s(literal 1/2 binary64) x z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* 1/2 (/ x z)))) (taylor inf z) (#s(alt (fma.f64 #s(literal 1/2 binary64) x z) (patch (fma.f64 #s(literal 1/2 binary64) x z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* 1/2 (/ x z)))) (taylor inf z) (#s(alt (fma.f64 #s(literal 1/2 binary64) x z) (patch (fma.f64 #s(literal 1/2 binary64) x z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* 1/2 (/ x z)))) (taylor inf z) (#s(alt (fma.f64 #s(literal 1/2 binary64) x z) (patch (fma.f64 #s(literal 1/2 binary64) x z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) z) (patch (fma.f64 x #s(literal 1/2 binary64) z) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (* x 1/2) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x))) |
| 1.0ms | x | @ | inf | ((+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (* x 1/2) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x))) |
| 1.0ms | y | @ | -inf | ((+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (* x 1/2) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x))) |
| 1.0ms | x | @ | 0 | ((+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (* x 1/2) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x))) |
| 1.0ms | y | @ | inf | ((+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (* x 1/2) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x))) |
| 1× | egg-herbie |
| 6 334× | lower-fma.f64 |
| 6 334× | lower-fma.f32 |
| 2 392× | lower-*.f64 |
| 2 392× | lower-*.f32 |
| 1 382× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 1624 |
| 1 | 223 | 1624 |
| 2 | 598 | 1624 |
| 3 | 1758 | 1624 |
| 4 | 3779 | 1624 |
| 5 | 5792 | 1624 |
| 6 | 7244 | 1624 |
| 0 | 8030 | 1448 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 1/2 x) (* x y)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(* 1/2 x) |
(+ z (* 1/2 x)) |
(+ z (* 1/2 x)) |
(+ z (* 1/2 x)) |
(+ (* 1/2 x) (* x y)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ (* 1/2 x) (* x y)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(* 1/2 x) |
(+ z (* 1/2 x)) |
(+ z (* 1/2 x)) |
(+ z (* 1/2 x)) |
(+ (* 1/2 x) (* x y)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ (* 1/2 x) (* x y)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
z |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
z |
(* z (+ 1 (* 1/2 (/ x z)))) |
(* z (+ 1 (* 1/2 (/ x z)))) |
(* z (+ 1 (* 1/2 (/ x z)))) |
z |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
z |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
z |
(* z (+ 1 (* 1/2 (/ x z)))) |
(* z (+ 1 (* 1/2 (/ x z)))) |
(* z (+ 1 (* 1/2 (/ x z)))) |
z |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
z |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
z |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
z |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(+ z (* 1/2 x)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (* 1/2 x)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(+ z (* 1/2 x)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (* 1/2 x)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(* 1/2 x) |
(+ (* 1/2 x) (* x y)) |
(+ (* 1/2 x) (* x y)) |
(+ (* 1/2 x) (* x y)) |
1/2 |
(+ 1/2 y) |
(+ 1/2 y) |
(+ 1/2 y) |
(+ z (* 1/2 x)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(* 1/2 x) |
(+ (* 1/2 x) (* x y)) |
(+ (* 1/2 x) (* x y)) |
(+ (* 1/2 x) (* x y)) |
(* x y) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* x y) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* x y) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* x y) |
(* y (+ x (* 1/2 (/ x y)))) |
(* y (+ x (* 1/2 (/ x y)))) |
(* y (+ x (* 1/2 (/ x y)))) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* x y) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* x y) |
(* y (+ x (* 1/2 (/ x y)))) |
(* y (+ x (* 1/2 (/ x y)))) |
(* y (+ x (* 1/2 (/ x y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
z |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
z |
(+ z (* 1/2 x)) |
(+ z (* 1/2 x)) |
(+ z (* 1/2 x)) |
z |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
z |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
z |
(+ z (* 1/2 x)) |
(+ z (* 1/2 x)) |
(+ z (* 1/2 x)) |
z |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
z |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ z x))) |
(* x (+ 1/2 (/ z x))) |
(* x (+ 1/2 (/ z x))) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ z x))) |
(* x (+ 1/2 (/ z x))) |
(* x (+ 1/2 (/ z x))) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* 1/2 x) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* 1/2 x) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (* -1 y) 1/2))) |
| Outputs |
|---|
(+ (* 1/2 x) (* x y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(+ z (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(+ z (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(+ z (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(+ (* 1/2 x) (* x y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ (* 1/2 x) (* x y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(+ z (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(+ z (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(+ z (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(+ (* 1/2 x) (* x y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ (* 1/2 x) (* x y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
z |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
z |
(* z (+ 1 (* 1/2 (/ x z)))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(* z (+ 1 (* 1/2 (/ x z)))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(* z (+ 1 (* 1/2 (/ x z)))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
z |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
z |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
z |
(* z (+ 1 (* 1/2 (/ x z)))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(* z (+ 1 (* 1/2 (/ x z)))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(* z (+ 1 (* 1/2 (/ x z)))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
z |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
z |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
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(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (- (* -1 y) 1/2))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(* -1 (* x (- (* -1 y) 1/2))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (- (* -1 y) 1/2))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (- (* -1 y) 1/2))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (- (* -1 y) 1/2))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (- (* -1 y) 1/2))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (- (* -1 y) 1/2))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
| 7 048× | lower-fma.f32 |
| 7 042× | lower-fma.f64 |
| 4 190× | lower-/.f64 |
| 4 190× | lower-/.f32 |
| 4 144× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 92 |
| 0 | 30 | 86 |
| 1 | 139 | 82 |
| 2 | 960 | 82 |
| 0 | 8324 | 78 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 #s(literal 1/2 binary64) x z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) |
(fma.f64 x #s(literal 1/2 binary64) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(-.f64 y #s(literal -1/2 binary64)) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x y z)))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 x y)))) |
(*.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x y z)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y (fma.f64 #s(literal 1/2 binary64) x z)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) (-.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) y (fma.f64 #s(literal 1/2 binary64) x z)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z)))))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) (-.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z))) (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z)))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z))))) (+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z)))) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z))))) (+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (fma.f64 x y z) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z))) (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z))) (fma.f64 (/.f64 (*.f64 z z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z))) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z))))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (fma.f64 x y z) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x y z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x y z)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 z z)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (neg.f64 x) y (fma.f64 #s(literal 1/2 binary64) x z)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) (-.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z))) (*.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z)) (*.f64 z z))) (*.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x (neg.f64 z)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z))) (*.f64 (-.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z)) (-.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x z)))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal -2 binary64) x) (*.f64 (fma.f64 x y (neg.f64 z)) #s(literal -1 binary64))) (*.f64 (fma.f64 x y (neg.f64 z)) (/.f64 #s(literal -2 binary64) x))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 x y (neg.f64 z)) #s(literal 1 binary64))) (*.f64 (fma.f64 x y (neg.f64 z)) (/.f64 #s(literal 2 binary64) x))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -2 binary64) (*.f64 (fma.f64 x y (neg.f64 z)) (neg.f64 x))) (*.f64 (fma.f64 x y (neg.f64 z)) #s(literal -2 binary64))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 2 binary64) (*.f64 (fma.f64 x y (neg.f64 z)) x)) (*.f64 (fma.f64 x y (neg.f64 z)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) x) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (*.f64 (neg.f64 x) y) z))) #s(literal -1 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (*.f64 (neg.f64 x) y) z))) (/.f64 #s(literal -2 binary64) x))) |
(/.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (*.f64 (neg.f64 x) y) z))) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (*.f64 (neg.f64 x) y) z))) (/.f64 #s(literal 2 binary64) x))) |
(/.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (*.f64 (neg.f64 x) y) z))) (neg.f64 x))) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (*.f64 (neg.f64 x) y) z))) #s(literal -2 binary64))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (*.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (*.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) #s(literal -1/8 binary64))) (*.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1/4 binary64))) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1/2 binary64))))) |
(/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 y y #s(literal -1/4 binary64))) (-.f64 y #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))) |
(neg.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))) |
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))) |
(-.f64 y #s(literal -1/2 binary64)) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))) |
(+.f64 #s(literal 1/2 binary64) y) |
(+.f64 y #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (*.f64 z z) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) |
(*.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))))) |
(*.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))) (*.f64 (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))) (+.f64 (/.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (fma.f64 (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (*.f64 (/.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z z)))) (neg.f64 (neg.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (*.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (*.f64 z z))) (*.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64))) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.f64 (*.f64 z z) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))) (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z z))) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z z)) (neg.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)))))) |
(fma.f64 #s(literal 1 binary64) z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) |
(fma.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))) (/.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))) |
(+.f64 (/.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) |
(+.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) |
Compiled 10 472 to 1 093 computations (89.6% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 688 | 3 | 691 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 690 | 7 | 697 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
| ▶ | 63.0% | (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | 71.6% | (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
| ✓ | 66.1% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) |
| ✓ | 63.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
| ▶ | 29.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
| ✓ | 35.6% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
Compiled 39 to 44 computations (-12.8% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (- y -1/2) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
| 52× | lower-+.f64 |
| 52× | lower-+.f32 |
| 40× | lower-fma.f32 |
| 36× | lower-fma.f64 |
| 18× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 71 |
| 0 | 27 | 71 |
| 1 | 40 | 71 |
| 2 | 49 | 71 |
| 3 | 54 | 71 |
| 4 | 56 | 71 |
| 0 | 56 | 68 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) |
#s(approx (- y -1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) |
y |
x |
#s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(-.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
x |
z |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) |
#s(approx (- y -1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
y |
x |
#s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(-.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
x |
z |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y #s(literal -1/2 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) | |
| accuracy | 0 | (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) | |
| accuracy | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| accuracy | 30.798009955889512 | #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) | |
| accuracy | 23.650067536283682 | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) | |
| accuracy | 30.87986199187565 | #s(approx (- y -1/2) #s(literal 1/2 binary64)) |
| 29.0ms | 256× | 0 | valid |
Compiled 55 to 19 computations (65.5% saved)
ival-mult: 7.0ms (40.4% of total)ival-add: 6.0ms (34.6% of total)ival-div: 2.0ms (11.5% of total)ival-sub: 2.0ms (11.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- y -1/2) #s(literal 1/2 binary64)) (patch #s(approx (- y -1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(literal -1/2 binary64)) (patch (-.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 x) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 z) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 1/2 x)) (taylor 0 z) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 1/2 x)) (taylor 0 z) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 1/2 x)) (taylor 0 z) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* 1/2 (/ x z)))) (taylor inf z) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* 1/2 (/ x z)))) (taylor inf z) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* 1/2 (/ x z)))) (taylor inf z) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ (* x (+ 1/2 y)) z))) (taylor inf z) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ (* x (+ 1/2 y)) z))) (taylor inf z) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ (* x (+ 1/2 y)) z))) (taylor inf z) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) (taylor -inf z) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1/2 (/ x z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1/2 (/ x z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1/2 (/ x z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))) (taylor -inf z) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))) (taylor -inf z) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))) (taylor -inf z) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 1/2 x)) (taylor 0 y) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 x) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 1/2 x)) (taylor 0 x) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 1/2 x)) (taylor 0 x) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 1/2 x)) (taylor 0 x) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (/ z x))) (taylor inf x) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (/ z x))) (taylor inf x) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (/ z x))) (taylor inf x) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1/2))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) (patch (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) (patch (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* x 1/2) (+ (* (- y -1/2) x) z) (- y -1/2)) |
| 1.0ms | x | @ | inf | ((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* x 1/2) (+ (* (- y -1/2) x) z) (- y -1/2)) |
| 0.0ms | y | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* x 1/2) (+ (* (- y -1/2) x) z) (- y -1/2)) |
| 0.0ms | z | @ | inf | ((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* x 1/2) (+ (* (- y -1/2) x) z) (- y -1/2)) |
| 0.0ms | x | @ | 0 | ((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* x 1/2) (+ (* (- y -1/2) x) z) (- y -1/2)) |
| 1× | egg-herbie |
| 6 552× | lower-fma.f64 |
| 6 552× | lower-fma.f32 |
| 2 372× | lower-*.f64 |
| 2 372× | lower-*.f32 |
| 1 408× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 966 |
| 1 | 270 | 966 |
| 2 | 723 | 966 |
| 3 | 2011 | 966 |
| 4 | 4157 | 966 |
| 5 | 6218 | 966 |
| 6 | 7531 | 966 |
| 0 | 8023 | 864 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 1/2 x) (* x y)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ (* 1/2 x) (* x y)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(* 1/2 x) |
(+ z (* 1/2 x)) |
(+ z (* 1/2 x)) |
(+ z (* 1/2 x)) |
(* x (+ 1/2 y)) |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
z |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
z |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
z |
(* z (+ 1 (* 1/2 (/ x z)))) |
(* z (+ 1 (* 1/2 (/ x z)))) |
(* z (+ 1 (* 1/2 (/ x z)))) |
z |
(* z (+ 1 (/ (* x (+ 1/2 y)) z))) |
(* z (+ 1 (/ (* x (+ 1/2 y)) z))) |
(* z (+ 1 (/ (* x (+ 1/2 y)) z))) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
z |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))) |
(+ z (* 1/2 x)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(* 1/2 x) |
(+ (* 1/2 x) (* x y)) |
(+ (* 1/2 x) (* x y)) |
(+ (* 1/2 x) (* x y)) |
1/2 |
(+ 1/2 y) |
(+ 1/2 y) |
(+ 1/2 y) |
(+ z (* 1/2 x)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (* 1/2 x)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
1/2 |
(+ 1/2 y) |
(+ 1/2 y) |
(+ 1/2 y) |
(* x y) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* x y) |
(* y (+ x (* 1/2 (/ x y)))) |
(* y (+ x (* 1/2 (/ x y)))) |
(* y (+ x (* 1/2 (/ x y)))) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* x y) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* x y) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
z |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
z |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
z |
(+ z (* 1/2 x)) |
(+ z (* 1/2 x)) |
(+ z (* 1/2 x)) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
z |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ z x))) |
(* x (+ 1/2 (/ z x))) |
(* x (+ 1/2 (/ z x))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* 1/2 x) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* x (+ 1/2 y)) |
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))) |
| Outputs |
|---|
(+ (* 1/2 x) (* x y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ (* 1/2 x) (* x y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(+ z (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(+ z (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(+ z (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(+ z (* x (+ 1/2 y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (* x (+ 1/2 y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (* x (+ 1/2 y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
z |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
z |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
z |
(* z (+ 1 (* 1/2 (/ x z)))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(* z (+ 1 (* 1/2 (/ x z)))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(* z (+ 1 (* 1/2 (/ x z)))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
z |
(* z (+ 1 (/ (* x (+ 1/2 y)) z))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (/ (* x (+ 1/2 y)) z))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (/ (* x (+ 1/2 y)) z))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
z |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
z |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
z |
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(+ (* 1/2 x) (* x y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(+ (* 1/2 x) (* x y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(+ (* 1/2 x) (* x y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 y) |
(-.f64 y #s(literal -1/2 binary64)) |
(+ 1/2 y) |
(-.f64 y #s(literal -1/2 binary64)) |
(+ 1/2 y) |
(-.f64 y #s(literal -1/2 binary64)) |
(+ z (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 y) |
(-.f64 y #s(literal -1/2 binary64)) |
(+ 1/2 y) |
(-.f64 y #s(literal -1/2 binary64)) |
(+ 1/2 y) |
(-.f64 y #s(literal -1/2 binary64)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* 1/2 (/ x y)))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* y (+ x (* 1/2 (/ x y)))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* y (+ x (* 1/2 (/ x y)))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(-.f64 y #s(literal -1/2 binary64)) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(-.f64 y #s(literal -1/2 binary64)) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(-.f64 y #s(literal -1/2 binary64)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x y) |
(*.f64 y x) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(-.f64 y #s(literal -1/2 binary64)) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(-.f64 y #s(literal -1/2 binary64)) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(-.f64 y #s(literal -1/2 binary64)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(-.f64 y #s(literal -1/2 binary64)) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(-.f64 y #s(literal -1/2 binary64)) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(-.f64 y #s(literal -1/2 binary64)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(-.f64 y #s(literal -1/2 binary64)) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(-.f64 y #s(literal -1/2 binary64)) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(-.f64 y #s(literal -1/2 binary64)) |
z |
(+ z (* x (+ 1/2 y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (* x (+ 1/2 y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (* x (+ 1/2 y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
z |
(+ z (* x (+ 1/2 y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (* x (+ 1/2 y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (* x (+ 1/2 y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
z |
(+ z (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(+ z (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(+ z (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
z |
(+ z (* x (+ 1/2 y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (* x (+ 1/2 y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (* x (+ 1/2 y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 (+ y (/ z x)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x (+ 1/2 (+ y (/ z x)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x (+ 1/2 (+ y (/ z x)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 (+ y (/ z x)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x (+ 1/2 (+ y (/ z x)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x (+ 1/2 (+ y (/ z x)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (/ z x))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(* x (+ 1/2 (/ z x))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(* x (+ 1/2 (/ z x))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 (+ y (/ z x)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x (+ 1/2 (+ y (/ z x)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x (+ 1/2 (+ y (/ z x)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (- (* -1 y) 1/2))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (- (* -1 y) 1/2))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
| 12 994× | lower-fma.f32 |
| 12 990× | lower-fma.f64 |
| 5 638× | lower-*.f32 |
| 5 634× | lower-*.f64 |
| 3 354× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 62 |
| 0 | 27 | 62 |
| 1 | 124 | 59 |
| 2 | 951 | 59 |
| 0 | 8584 | 57 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) |
#s(approx (- y -1/2) #s(literal 1/2 binary64)) |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(-.f64 y #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) |
(*.f64 x #s(approx (- y -1/2) #s(literal 1/2 binary64))) |
#s(approx (- y -1/2) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (fma.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (fma.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))))))) |
(*.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (/.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) (-.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))))) (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) y) x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))))) |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 x y #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (/.f64 (pow.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))))) |
(+.f64 #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) |
(+.f64 (*.f64 y x) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (neg.f64 x) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 (neg.f64 x) #s(literal -2 binary64)) |
(/.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)))) |
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(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))) |
(-.f64 y #s(literal -1/2 binary64)) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))) |
(+.f64 #s(literal 1/2 binary64) y) |
(+.f64 y #s(literal 1/2 binary64)) |
Compiled 6 331 to 710 computations (88.8% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 401 | 0 | 401 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 4 | 4 |
| Total | 401 | 7 | 408 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
| ✓ | 63.0% | (fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | 71.6% | (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
| ✓ | 66.1% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) |
| ✓ | 63.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
| ✓ | 29.7% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
| ✓ | 35.6% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
Compiled 100 to 73 computations (27% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| Outputs |
|---|
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
5 calls:
| 5.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 100.0% | 1 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
5 calls:
| 6.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 5.0ms | x |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 100.0% | 1 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
| Outputs |
|---|
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
5 calls:
| 3.0ms | y |
| 2.0ms | z |
| 2.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 2.0ms | x |
| 2.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 4 | x |
| 99.1% | 3 | y |
| 87.2% | 3 | z |
| 83.8% | 5 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 89.6% | 4 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
2 calls:
| 4.0ms | y |
| 2.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 3 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 87.5% | 3 | y |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
5 calls:
| 2.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 2.0ms | x |
| 2.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.4% | 5 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 47.3% | 5 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 37.3% | 2 | z |
| 39.8% | 2 | x |
| 62.1% | 3 | y |
Compiled 19 to 24 computations (-26.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
5 calls:
| 2.0ms | y |
| 1.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 1.0ms | z |
| 1.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.6% | 1 | z |
| 35.6% | 1 | x |
| 35.6% | 1 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 35.6% | 1 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 35.6% | 1 | y |
Compiled 19 to 24 computations (-26.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 0.1254477055715591 | 0.5112121209599322 |
| 12.0ms | -3774967976956551.5 | -885321986146.6566 |
| 12.0ms | 224× | 0 | valid |
Compiled 166 to 210 computations (-26.5% saved)
ival-add: 2.0ms (38% of total)ival-div: 1.0ms (19% of total)ival-mult: 1.0ms (19% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 2.312141683742158e+77 | 2.3348873929905506e+82 |
| 12.0ms | -2.4873126016586657e+48 | -3.119081117558314e+45 |
| 14.0ms | 272× | 0 | valid |
Compiled 165 to 235 computations (-42.4% saved)
ival-div: 3.0ms (38.6% of total)ival-add: 3.0ms (38.6% of total)ival-mult: 2.0ms (25.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.1254477055715591 | 0.5112121209599322 |
| 1.0ms | -3774967976956551.5 | -885321986146.6566 |
Compiled 138 to 210 computations (-52.2% saved)
| 1× | egg-herbie |
| 4× | *-commutative-binary64-*.f64 |
| 4× | +-commutative-binary64-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 173 |
| 1 | 41 | 173 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
(if (<=.f64 y #s(literal -900000000000 binary64)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z))) |
(if (<=.f64 y #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 76000000000000004759276622263432531574737070662882069264859595889362223220391936 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)))) |
(if (<=.f64 y #s(literal -900000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| Outputs |
|---|
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
(if (<=.f64 y #s(literal -900000000000 binary64)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z))) |
(if (<=.f64 y #s(literal -900000000000 binary64)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))) |
(if (<=.f64 y #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 76000000000000004759276622263432531574737070662882069264859595889362223220391936 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)))) |
(if (<=.f64 y #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y)) (if (<=.f64 y #s(literal 76000000000000004759276622263432531574737070662882069264859595889362223220391936 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y)))) |
(if (<=.f64 y #s(literal -900000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)))) |
(if (<=.f64 y #s(literal -900000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y)) |
| 7 074× | lower-fma.f64 |
| 7 074× | lower-fma.f32 |
| 6 434× | lower-fma.f64 |
| 6 434× | lower-fma.f32 |
| 6 334× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 440 |
| 1 | 174 | 440 |
| 2 | 488 | 440 |
| 3 | 1308 | 440 |
| 4 | 3609 | 440 |
| 5 | 6674 | 440 |
| 0 | 8210 | 412 |
| 0 | 72 | 1624 |
| 1 | 223 | 1624 |
| 2 | 598 | 1624 |
| 3 | 1758 | 1624 |
| 4 | 3779 | 1624 |
| 5 | 5792 | 1624 |
| 6 | 7244 | 1624 |
| 0 | 8030 | 1448 |
| 0 | 8 | 22 |
| 0 | 12 | 22 |
| 1 | 52 | 18 |
| 2 | 452 | 18 |
| 3 | 6077 | 18 |
| 0 | 8040 | 17 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 146 to 91 computations (37.7% saved)
Compiled 186 to 76 computations (59.1% saved)
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