
Time bar (total: 4.0s)
| 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)
| 731.0ms | 8 256× | 0 | valid |
ival-add: 128.0ms (40.8% of total)ival-div: 117.0ms (37.3% of total)ival-mult: 54.0ms (17.2% of total)ival-true: 6.0ms (1.9% of total)exact: 5.0ms (1.6% of total)ival-assert: 4.0ms (1.3% 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 |
| 139.0ms | 512× | 0 | valid |
Compiled 68 to 28 computations (58.8% saved)
ival-add: 5.0ms (39.6% of total)ival-mult: 4.0ms (31.7% of total)ival-div: 3.0ms (23.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 193× | distribute-rgt-in |
| 168× | sub-neg |
| 134× | unsub-neg |
| 115× | associate-+l- |
| 113× | 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) |
(fma.f64 y x (+.f64 z (/.f64 x #s(literal 2 binary64)))) |
Compiled 12 to 8 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
Compiled 12 to 8 computations (33.3% 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)) |
| 12× | lower-+.f32 |
| 10× | lower-+.f64 |
| 6× | lower-fma.f64 |
| 6× | lower-fma.f32 |
| 5× | +-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) |
(fma.f64 y x (+.f64 z (/.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 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.015625 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 17.0ms | 256× | 0 | valid |
Compiled 28 to 10 computations (64.3% saved)
ival-div: 2.0ms (33.3% of total)ival-add: 2.0ms (33.3% of total)ival-mult: 2.0ms (33.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(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 (* 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 (* 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 (* -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 (* 1/2 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 (* 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 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 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 (* 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 (* 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 (+ 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 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 (+.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 (+ (* 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 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 (* 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 (* 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 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 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 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 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 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 (* 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>) () ())) ()) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+ (/ x 2) (* y x)) |
| 1.0ms | x | @ | -inf | (/ x 2) |
| 1.0ms | x | @ | 0 | (+ (/ x 2) (* y x)) |
| 1.0ms | x | @ | -inf | (+ (/ x 2) (* y x)) |
| 0.0ms | y | @ | 0 | (+ (/ x 2) (* y x)) |
| 1× | egg-herbie |
| 3 217× | lower-fma.f64 |
| 3 217× | lower-fma.f32 |
| 1 237× | lower-*.f64 |
| 1 237× | lower-*.f32 |
| 678× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 440 |
| 1 | 174 | 440 |
| 2 | 488 | 440 |
| 3 | 1310 | 440 |
| 4 | 3612 | 440 |
| 5 | 6659 | 440 |
| 0 | 8189 | 412 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)) |
(* x (+ 1/2 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))) |
(* 1/2 x) |
(+ (* 1/2 x) (* x y)) |
(+ (* 1/2 x) (* x y)) |
(+ (* 1/2 x) (* x y)) |
(* x y) |
(* y (+ x (* 1/2 (/ x y)))) |
(* y (+ x (* 1/2 (/ x y)))) |
(* y (+ x (* 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))) |
(* 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))) |
(+ z (* 1/2 x)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 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) |
(* -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))))) |
(+ (* 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) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(* 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)) |
(*.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) 1/2))) |
(*.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) |
(* 1/2 x) |
(*.f64 #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 x) (* x y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) 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) |
(* -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) |
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) |
(* -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) |
(+ z (* 1/2 x)) |
(fma.f64 #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) (* x 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) |
(* 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) |
(+ (* 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 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 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) |
(* 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) |
(* 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) |
(* 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) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
| 3 537× | lower-fma.f64 |
| 3 537× | lower-fma.f32 |
| 2 178× | lower-*.f32 |
| 2 177× | lower-*.f64 |
| 1 289× | 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 (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) y) (+.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x))))) (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 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x))) (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/64 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)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 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)) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/2 binary64) y))) |
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(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y x z)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) x) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))))) |
(fma.f64 (fma.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) z) |
(fma.f64 (fma.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) z) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) z) |
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (fma.f64 y x z)) |
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))))) |
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) z) |
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) z) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (fma.f64 y x z)) |
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z) |
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y x z)) |
(fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x z)) |
(-.f64 (+.f64 z (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) x) (+.f64 #s(literal 1/2 binary64) y)) (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) z)) (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) z))) |
(-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)))) (/.f64 (*.f64 z z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) z)) |
(-.f64 (fma.f64 y x z) (*.f64 #s(literal -1/2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))) #s(literal -1 binary64))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 y x)) |
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))))) |
(+.f64 (fma.f64 y x z) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z) |
(+.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x z)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y x z)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.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 (*.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) (/.f64 #s(literal 1 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 1/2 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 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 7 883 to 738 computations (90.6% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 330 | 5 | 335 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 331 | 5 | 336 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
| ▶ | 76.2% | (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
| ▶ | 66.1% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ▶ | 59.6% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
| ▶ | 36.4% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
Compiled 84 to 52 computations (38.1% 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 #s(literal 1/2 binary64) x z) | |
| cost-diff | 0 | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) | |
| cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
| 26× | lower-+.f32 |
| 24× | lower-+.f64 |
| 18× | lower-fma.f32 |
| 16× | lower-fma.f64 |
| 9× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 108 |
| 0 | 30 | 108 |
| 1 | 44 | 108 |
| 2 | 53 | 108 |
| 3 | 59 | 108 |
| 0 | 59 | 103 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
(+.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
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 #s(literal 1/2 binary64) x z)) |
(fma.f64 #s(literal 1/2 binary64) x z) |
#s(literal 1/2 binary64) |
x |
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 (+.f64 #s(literal 1/2 binary64) y) x z) |
(fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) |
(+.f64 #s(literal 1/2 binary64) y) |
(-.f64 y #s(literal -1/2 binary64)) |
#s(literal 1/2 binary64) |
y |
x |
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 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 x #s(literal 1/2 binary64) z)) |
(fma.f64 #s(literal 1/2 binary64) x z) |
(fma.f64 x #s(literal 1/2 binary64) z) |
#s(literal 1/2 binary64) |
x |
z |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (-.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(*.f64 x (-.f64 y #s(literal -1/2 binary64))) |
(-.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 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 30.985562029024106 | #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) | |
| accuracy | 0 | (-.f64 y #s(literal -1/2 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) | |
| accuracy | 25.837549855623575 | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) | |
| accuracy | 0 | (fma.f64 #s(literal 1/2 binary64) x z) | |
| accuracy | 21.69083219704038 | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 40.70824435101868 | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) | |
| accuracy | 0 | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) | |
| accuracy | 0 | (+.f64 #s(literal 1/2 binary64) y) |
| 28.0ms | 256× | 0 | valid |
Compiled 89 to 19 computations (78.7% saved)
ival-mult: 7.0ms (44.7% of total)ival-add: 6.0ms (38.3% of total)ival-div: 2.0ms (12.8% of total)ival-sub: 1.0ms (6.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1/2 binary64) y) (patch (+.f64 #s(literal 1/2 binary64) y) #<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 #s(literal 1/2 binary64) x z)) (patch #s(approx (+ (+ (/ x 2) (* y x)) z) (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 (-.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 (+ z (* 1/2 x)) (taylor 0 y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 x) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x (+ 1/2 y))) (taylor 0 x) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 y)) (taylor inf x) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1/2 (+ y (/ z x)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1/2 y)) (taylor 0 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 (* x (+ 1/2 y)) (taylor 0 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 (* x (+ 1/2 y)) (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 (* x (+ 1/2 y)) (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 (* x (+ 1/2 y)) (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 (* x (+ 1/2 y)) (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>) () ())) ()) |
#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 (* 1/2 x) (taylor 0 y) (#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 (+ (* 1/2 x) (* x y)) (taylor 0 y) (#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 (+ (* 1/2 x) (* x y)) (taylor 0 y) (#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 (+ (* 1/2 x) (* x y)) (taylor 0 y) (#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 (* x y) (taylor inf y) (#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 (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#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 (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#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 (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#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 (* x y) (taylor -inf y) (#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 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#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 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#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 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) (patch #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (+ (+ (/ x 2) (* y x)) z) |
| 0.0ms | x | @ | -inf | (+ (* (+ 1/2 y) x) z) |
| 0.0ms | y | @ | inf | (+ (* (+ 1/2 y) x) z) |
| 0.0ms | y | @ | 0 | (+ (* (+ 1/2 y) x) z) |
| 0.0ms | y | @ | -inf | (+ (* (+ 1/2 y) x) z) |
| 1× | egg-herbie |
| 3 276× | lower-fma.f64 |
| 3 276× | lower-fma.f32 |
| 1 186× | lower-*.f64 |
| 1 186× | lower-*.f32 |
| 701× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 1552 |
| 1 | 270 | 1552 |
| 2 | 722 | 1552 |
| 3 | 2021 | 1552 |
| 4 | 4163 | 1552 |
| 5 | 6226 | 1552 |
| 6 | 7538 | 1552 |
| 0 | 8037 | 1394 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ z (* 1/2 x)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 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) |
(* -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))))) |
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)) |
(* -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))))) |
(* x (+ 1/2 y)) |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
(+ z (* x (+ 1/2 y))) |
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 (/ (* x (+ 1/2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))) |
1/2 |
(+ 1/2 y) |
(+ 1/2 y) |
(+ 1/2 y) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 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 (/ 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))) |
(+ z (* 1/2 x)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 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) |
(* -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))))) |
(+ (* 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))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
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)))) |
(* -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))) |
(+ z (* 1/2 x)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 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) |
(* -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))))) |
(+ (* 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))) |
z |
(+ z (* 1/2 x)) |
(+ z (* 1/2 x)) |
(+ z (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (/ z x))) |
(* x (+ 1/2 (/ z x))) |
(* x (+ 1/2 (/ z x))) |
(* 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) |
(+ z (* 1/2 x)) |
(+ z (* 1/2 x)) |
(+ z (* 1/2 x)) |
z |
(* z (+ 1 (* 1/2 (/ x z)))) |
(* z (+ 1 (* 1/2 (/ x z)))) |
(* z (+ 1 (* 1/2 (/ x z)))) |
z |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
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)))) |
(* -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))) |
(+ z (* 1/2 x)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 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) |
(* -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))))) |
(+ (* 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)) |
(* 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) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ 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)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
1/2 |
(+ 1/2 y) |
(+ 1/2 y) |
(+ 1/2 y) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 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 (/ 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))) |
(+ z (* 1/2 x)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 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) |
(* -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))))) |
(+ (* 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))) |
(* 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)) |
(* x (+ 1/2 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))) |
(* 1/2 x) |
(+ (* 1/2 x) (* x y)) |
(+ (* 1/2 x) (* x y)) |
(+ (* 1/2 x) (* x y)) |
(* x y) |
(* y (+ x (* 1/2 (/ x y)))) |
(* y (+ x (* 1/2 (/ x y)))) |
(* y (+ x (* 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))))) |
| Outputs |
|---|
(+ 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) |
(* 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) |
(* -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) |
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) |
(* -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) |
(* 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 (/ (* 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))) |
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(* 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) |
(* -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) |
(+ (* 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) |
(* 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)) |
(*.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) 1/2))) |
(*.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) |
(* 1/2 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) |
(* 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) |
(* -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) |
| 4 670× | lower-fma.f32 |
| 4 668× | lower-fma.f64 |
| 2 393× | lower-*.f32 |
| 2 391× | lower-*.f64 |
| 1 832× | lower-/.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 90 |
| 0 | 30 | 90 |
| 1 | 139 | 77 |
| 2 | 1042 | 77 |
| 0 | 8722 | 77 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
(+.f64 #s(literal 1/2 binary64) y) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (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 (-.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 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z))) |
(*.f64 (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (-.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (fma.f64 x y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64))))))) |
(*.f64 (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (neg.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (-.f64 y #s(literal -1/2 binary64))) x (*.f64 z (-.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64))))))))) |
(*.f64 (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z)) |
(*.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))))) |
(*.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (-.f64 y #s(literal -1/2 binary64))) x (*.f64 z (-.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64)))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (*.f64 x (-.f64 y #s(literal -1/2 binary64)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (/.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (*.f64 x (-.f64 y #s(literal -1/2 binary64)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))))) (+.f64 (/.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (*.f64 x (-.f64 y #s(literal -1/2 binary64)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (*.f64 y y) x) x)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) z) (*.f64 x y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z))) (-.f64 (*.f64 x y) (fma.f64 x #s(literal 1/2 binary64) z))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (*.f64 x (-.f64 y #s(literal -1/2 binary64)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (*.f64 x (-.f64 y #s(literal -1/2 binary64)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (/.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (*.f64 x (-.f64 y #s(literal -1/2 binary64)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (fma.f64 (/.f64 (*.f64 z z) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (*.f64 (/.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (*.f64 x (-.f64 y #s(literal -1/2 binary64)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (fma.f64 x y z) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))) (fma.f64 (fma.f64 x y z) (fma.f64 x y z) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) x) x) (*.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) x) y)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (*.f64 x y))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) x) y (pow.f64 (fma.f64 x #s(literal 1/2 binary64) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) x (-.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z)) (*.f64 (*.f64 x y) (fma.f64 x #s(literal 1/2 binary64) z))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z))) (neg.f64 (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (-.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64)))))) (neg.f64 (-.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (fma.f64 x y z)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) (neg.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (-.f64 y #s(literal -1/2 binary64))) x (*.f64 z (-.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) (*.f64 x (-.f64 y #s(literal -1/2 binary64)))) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z))) (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) (*.f64 z z))) (*.f64 (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) (fma.f64 x (-.f64 y #s(literal -1/2 binary64)) (neg.f64 z)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 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 (fma.f64 x y z) (fma.f64 x y (neg.f64 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 (fma.f64 x y z) (fma.f64 x y (neg.f64 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 (fma.f64 x y z) (fma.f64 x y (neg.f64 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 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) x) y (*.f64 (*.f64 z z) z)) (/.f64 #s(literal -2 binary64) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) (/.f64 #s(literal -2 binary64) x))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) x) y (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) (/.f64 #s(literal 2 binary64) x))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) x) y (*.f64 (*.f64 z z) z)) #s(literal -2 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) (neg.f64 x))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) #s(literal -2 binary64))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) x) y (*.f64 (*.f64 z z) z)) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) x)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x y (neg.f64 z)) (*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))))) (*.f64 (/.f64 #s(literal -2 binary64) x) (fma.f64 x y (neg.f64 z)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) (*.f64 (/.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) x) y (*.f64 (*.f64 z z) z)))) (*.f64 (/.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z)) (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))))) (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 x y (neg.f64 z)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))) (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) x) y (*.f64 (*.f64 z z) z)))) (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 z (-.f64 z (*.f64 x y)))))) |
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 x y (neg.f64 z)) (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))))) (*.f64 #s(literal -2 binary64) (fma.f64 x y (neg.f64 z)))) |
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(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y #s(literal 1/4 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #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 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/8 binary64))) (*.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64))) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #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 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) y)) |
(/.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 #s(literal 1 binary64) (-.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1/4 binary64)) (-.f64 y #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) y))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64))) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #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 #s(literal 1/4 binary64) (*.f64 y y)) (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)))) |
(fma.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #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 #s(literal 1/2 binary64) y)))) |
(+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)))) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(+.f64 y #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) y) |
(*.f64 (*.f64 (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))))) |
(*.f64 (*.f64 (neg.f64 (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))))))) |
(*.f64 (*.f64 (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) |
(*.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))))) |
(*.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))))) |
(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 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.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 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.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 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.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 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (/.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.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 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.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 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))))) (neg.f64 (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))) (neg.f64 (neg.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z)))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.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 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (neg.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z))) (neg.f64 (fma.f64 z z (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z))) (neg.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))))) |
(/.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 (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) 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 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))))) |
(/.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 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))) (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))) |
(/.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z)) (fma.f64 z z (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))) |
(/.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z)) (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z))) (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))))) |
(neg.f64 (/.f64 (*.f64 (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)) (neg.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) (*.f64 (*.f64 z z) z)) (neg.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))))))) |
(fma.f64 #s(literal 1 binary64) z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) |
(fma.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (/.f64 #s(literal 1 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 (/.f64 (*.f64 z z) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)))) (/.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))))) |
(-.f64 (/.f64 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.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 (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) #s(approx (+ (/ x 2) (* y x)) (*.f64 x y))) (-.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 10 748 to 894 computations (91.7% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 685 | 1 | 686 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 685 | 6 | 691 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
| ✓ | 76.2% | (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
| ✓ | 66.1% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ✓ | 59.6% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
| ▶ | 26.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
| ✓ | 36.4% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
Compiled 50 to 31 computations (38% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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)) |
| 14× | lower-+.f64 |
| 14× | lower-+.f32 |
| 6× | lower-fma.f64 |
| 6× | lower-fma.f32 |
| 6× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 31 |
| 0 | 15 | 31 |
| 1 | 23 | 31 |
| 2 | 31 | 31 |
| 3 | 33 | 31 |
| 0 | 33 | 30 |
| 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 |
| 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 |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) | |
| accuracy | 25.837549855623575 | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) | |
| accuracy | 31.63383558372437 | #s(approx (- y -1/2) #s(literal 1/2 binary64)) |
| 17.0ms | 256× | 0 | valid |
Compiled 21 to 14 computations (33.3% saved)
ival-mult: 3.0ms (29.7% of total)ival-div: 2.0ms (19.8% of total)ival-sub: 2.0ms (19.8% of total)ival-add: 2.0ms (19.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #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>) () ()) |
| Outputs |
|---|
#s(alt z (taylor 0 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 (+ z (* x (+ 1/2 y))) (taylor 0 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 (+ z (* x (+ 1/2 y))) (taylor 0 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 (+ z (* x (+ 1/2 y))) (taylor 0 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 #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 (* -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 (+ 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>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (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>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (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>) () ())) ()) |
#s(alt (+ z (+ (* 1/2 x) (* x y))) (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>) () ())) ()) |
#s(alt (* x y) (taylor inf 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>) () ())) ()) |
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf 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>) () ())) ()) |
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf 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>) () ())) ()) |
#s(alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) (taylor inf 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>) () ())) ()) |
#s(alt (* x y) (taylor -inf 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>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf 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>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf 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>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) (taylor -inf 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>) () ())) ()) |
#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 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 #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 (* 1/2 x) (taylor 0 y) (#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 (+ (* 1/2 x) (* x y)) (taylor 0 y) (#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 (+ (* 1/2 x) (* x y)) (taylor 0 y) (#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 (+ (* 1/2 x) (* x y)) (taylor 0 y) (#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 y) (taylor inf y) (#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 (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#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 (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#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 (* y (+ x (* 1/2 (/ x y)))) (taylor inf y) (#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 y) (taylor -inf y) (#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 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#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 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#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 (* y (+ (* -1 x) (* -1/2 (/ x y))))) (taylor -inf y) (#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 0 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 0 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 0 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 0 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 (*.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 (*.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 1/2 (taylor 0 y) (#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 (+ 1/2 y) (taylor 0 y) (#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 (+ 1/2 y) (taylor 0 y) (#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 (+ 1/2 y) (taylor 0 y) (#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 y (taylor inf y) (#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 (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor inf y) (#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 (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor inf y) (#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 (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor inf y) (#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 y (taylor -inf y) (#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 (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor -inf y) (#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 (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor -inf y) (#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 (* y (+ 1 (* 1/2 (/ 1 y)))) (taylor -inf y) (#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>) () ())) ()) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+ (+ (/ x 2) (* y x)) z) |
| 0.0ms | x | @ | -inf | (+ (+ (/ x 2) (* y x)) z) |
| 0.0ms | x | @ | inf | (+ (+ (/ x 2) (* y x)) z) |
| 0.0ms | y | @ | -inf | (+ (+ (/ x 2) (* y x)) z) |
| 0.0ms | z | @ | -inf | (+ (+ (/ x 2) (* y x)) z) |
| 1× | egg-herbie |
| 3 841× | lower-fma.f64 |
| 3 841× | lower-fma.f32 |
| 1 536× | lower-*.f64 |
| 1 536× | lower-*.f32 |
| 687× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 362 |
| 1 | 189 | 362 |
| 2 | 515 | 362 |
| 3 | 1568 | 362 |
| 4 | 3482 | 362 |
| 5 | 6314 | 362 |
| 0 | 8424 | 334 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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)))) |
(* -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))) |
(+ z (* 1/2 x)) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ z (+ (* 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) |
(* -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))))) |
(+ (* 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)) |
(* 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) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ 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)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 y)) |
1/2 |
(+ 1/2 y) |
(+ 1/2 y) |
(+ 1/2 y) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
| Outputs |
|---|
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) |
(* -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) |
(+ z (* 1/2 x)) |
(fma.f64 #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) (* x 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) |
(* 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) |
(+ (* 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 #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 x) (* x y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) 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) |
(* -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 (+ 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)) |
(*.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)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 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)) |
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)) |
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)) |
| 3 802× | lower-fma.f64 |
| 3 802× | lower-fma.f32 |
| 2 174× | lower-*.f32 |
| 2 173× | lower-*.f64 |
| 1 541× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 29 |
| 0 | 15 | 29 |
| 1 | 71 | 27 |
| 2 | 561 | 27 |
| 3 | 6887 | 27 |
| 0 | 8161 | 26 |
| 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)) |
| 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)) |
Compiled 473 to 12 computations (97.5% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 71 | 0 | 71 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 71 | 6 | 77 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
| ✓ | 76.2% | (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
| ✓ | 66.1% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ✓ | 59.6% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
| ✓ | 26.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
| ✓ | 36.4% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
Compiled 94 to 48 computations (48.9% 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 #s(literal 1/2 binary64) x 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) |
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| Outputs |
|---|
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
5 calls:
| 5.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 3.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| 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 34 to 24 computations (29.4% 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 #s(literal 1/2 binary64) x 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 #s(literal 1/2 binary64) x z)) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
5 calls:
| 5.0ms | 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) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.9% | 3 | x |
| 99.7% | 3 | y |
| 89.8% | 3 | z |
| 76.2% | 1 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 87.4% | 3 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
Compiled 34 to 24 computations (29.4% 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 #s(literal 1/2 binary64) x 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 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
4 calls:
| 2.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.4% | 3 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 82.7% | 3 | z |
| 81.1% | 3 | x |
| 86.0% | 3 | y |
Compiled 22 to 16 computations (27.3% 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 #s(literal 1/2 binary64) x z)) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
2 calls:
| 5.0ms | y |
| 2.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.0% | 3 | y |
| 78.7% | 3 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
Compiled 14 to 10 computations (28.6% 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 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 2.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.4% | 1 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 36.4% | 1 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 40.8% | 3 | x |
| 36.4% | 1 | z |
| 59.3% | 3 | y |
Compiled 34 to 24 computations (29.4% 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)) |
3 calls:
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.4% | 1 | z |
| 36.4% | 1 | x |
| 36.4% | 1 | y |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.0170891793790402e-13 | 0.1599896348086063 |
| 12.0ms | -925130.1129979505 | -76.48996641071872 |
| 15.0ms | 288× | 0 | valid |
Compiled 357 to 230 computations (35.6% saved)
ival-mult: 4.0ms (44.6% of total)ival-add: 3.0ms (33.4% of total)ival-div: 2.0ms (22.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.123820834175422e+110 | 1.77851547153107e+128 |
| 0.0ms | -6.808363983140668e+47 | -1.0881963276550137e+47 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 3462911133283.988 | 3.0574417918771013e+25 |
| 13.0ms | -102513579982241460.0 | -4231043189097730.0 |
| 12.0ms | 272× | 0 | valid |
Compiled 304 to 201 computations (33.9% saved)
ival-div: 2.0ms (32% of total)ival-add: 2.0ms (32% of total)ival-mult: 2.0ms (32% 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 | 1.0170891793790402e-13 | 0.1599896348086063 |
| 20.0ms | -76.48996641071872 | -0.0001098116838800515 |
| 15.0ms | 144× | 0 | valid |
Compiled 338 to 223 computations (34% saved)
ival-mult: 9.0ms (78.4% of total)ival-div: 1.0ms (8.7% of total)ival-add: 1.0ms (8.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 230 |
| 1 | 56 | 230 |
| 2 | 61 | 230 |
| 3 | 63 | 230 |
| 4 | 64 | 230 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
(if (<=.f64 y #s(literal -78 binary64)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 5620492334958379/36028797018963968 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z))) |
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)))) |
(if (<=.f64 y #s(literal -6200000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 2200000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #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 y x)) (if (<=.f64 y #s(literal 5620492334958379/36028797018963968 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 (+.f64 #s(literal 1/2 binary64) y) x z) |
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z) |
(if (<=.f64 y #s(literal -78 binary64)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 5620492334958379/36028797018963968 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z))) |
(if (<=.f64 y #s(literal -78 binary64)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z) (if (<=.f64 y #s(literal 5620492334958379/36028797018963968 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z))) |
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)))) |
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y)) #s(literal -500000000000000021922921522538098677317023825920 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y)) #s(literal 499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)))) |
(if (<=.f64 y #s(literal -6200000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 2200000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)))) |
(if (<=.f64 y #s(literal -6200000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y)) (if (<=.f64 y #s(literal 2200000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #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 y x)) (if (<=.f64 y #s(literal 5620492334958379/36028797018963968 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 -1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y)) (if (<=.f64 y #s(literal 5620492334958379/36028797018963968 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)) |
| 3 537× | lower-fma.f64 |
| 3 537× | lower-fma.f32 |
| 3 276× | lower-fma.f64 |
| 3 276× | lower-fma.f32 |
| 3 217× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 1552 |
| 1 | 270 | 1552 |
| 2 | 722 | 1552 |
| 3 | 2021 | 1552 |
| 4 | 4163 | 1552 |
| 5 | 6226 | 1552 |
| 6 | 7538 | 1552 |
| 0 | 8037 | 1394 |
| 0 | 57 | 440 |
| 1 | 174 | 440 |
| 2 | 488 | 440 |
| 3 | 1310 | 440 |
| 4 | 3612 | 440 |
| 5 | 6659 | 440 |
| 0 | 8189 | 412 |
| 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 205 to 97 computations (52.7% saved)
Compiled 258 to 90 computations (65.1% saved)
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