
Time bar (total: 7.3s)
| 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 17 to 10 computations (41.2% saved)
| 414.0ms | 8 256× | 0 | valid |
ival-mult: 122.0ms (51.1% of total)ival-add: 107.0ms (44.8% of total)ival-true: 7.0ms (2.9% of total)ival-assert: 3.0ms (1.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 5 | 0 | - | 0 | - | (+.f64 (*.f64 x y) (*.f64 z z)) |
| 1 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 1 | 0 | - | 0 | - | (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (*.f64 x y) (*.f64 z z)) | nan-rescue | 5 | 0 |
| ↳ | (*.f64 x y) | overflow | 34 | |
| ↳ | (*.f64 z z) | overflow | 61 | |
+.f64 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) | nan-rescue | 1 | 0 |
| ↳ | (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) | overflow | 87 | |
| ↳ | (+.f64 (*.f64 x y) (*.f64 z z)) | overflow | 87 | |
| ↳ | (*.f64 x y) | overflow | 34 | |
| ↳ | (*.f64 z z) | overflow | 122 | |
| ↳ | (*.f64 z z) | overflow | 61 | |
+.f64 | (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) | nan-rescue | 1 | 0 |
| ↳ | (+.f64 (*.f64 x y) (*.f64 z z)) | overflow | 87 | |
| ↳ | (*.f64 x y) | overflow | 34 | |
| ↳ | (*.f64 z z) | overflow | 61 | |
| ↳ | (*.f64 z z) | overflow | 61 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5 | 0 |
| - | 0 | 251 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5 | 0 | 0 |
| - | 0 | 0 | 251 |
| number | freq |
|---|---|
| 0 | 251 |
| 1 | 4 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 512× | 0 | valid |
Compiled 103 to 28 computations (72.8% saved)
ival-mult: 11.0ms (60.4% of total)ival-add: 6.0ms (32.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 726× | unsub-neg |
| 312× | sub-neg |
| 286× | associate-+l- |
| 256× | cancel-sign-sub |
| 210× | distribute-lft-neg-out |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 142 |
| 1 | 104 | 120 |
| 2 | 235 | 82 |
| 3 | 602 | 81 |
| 4 | 1131 | 81 |
| 5 | 1497 | 81 |
| 6 | 2068 | 81 |
| 7 | 2586 | 81 |
| 8 | 2644 | 81 |
| 9 | 2644 | 81 |
| 0 | 8 | 15 |
| 0 | 13 | 15 |
| 1 | 20 | 13 |
| 2 | 30 | 9 |
| 3 | 42 | 9 |
| 4 | 50 | 9 |
| 5 | 53 | 9 |
| 0 | 53 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(abs z)
(sort x y)
Compiled 15 to 8 computations (46.7% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.9% | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
Compiled 15 to 8 computations (46.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 128 | (+.f64 (*.f64 x y) (*.f64 z z)) | |
| cost-diff | 192 | (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) | |
| cost-diff | 512 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 58× | lower-fma.f64 |
| 58× | lower-fma.f32 |
| 36× | lower-+.f32 |
| 30× | lower-+.f64 |
| 30× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 42 |
| 0 | 13 | 42 |
| 1 | 20 | 38 |
| 2 | 30 | 34 |
| 3 | 42 | 34 |
| 4 | 50 | 34 |
| 5 | 53 | 34 |
| 0 | 53 | 31 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) |
(+.f64 (*.f64 x y) (*.f64 z z)) |
(*.f64 x y) |
x |
y |
(*.f64 z z) |
z |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 #s(literal 2 binary64) (*.f64 z z) (*.f64 y x)) |
(+.f64 (*.f64 x y) (*.f64 z z)) |
(fma.f64 z z (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 z z) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.2539041858302058 | (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) | |
| accuracy | 0.3593729358302058 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) | |
| accuracy | 1.054685435830206 | (+.f64 (*.f64 x y) (*.f64 z z)) |
| 120.0ms | 256× | 0 | valid |
Compiled 44 to 10 computations (77.3% saved)
ival-mult: 7.0ms (69.6% of total)ival-add: 3.0ms (29.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow z 2)) (taylor inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow z 2)) (taylor -inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* 2 (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* 2 (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* 2 (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (pow z 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (pow z 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (pow z 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y)) |
| 1.0ms | y | @ | 0 | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y)) |
| 1.0ms | y | @ | -inf | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y)) |
| 1.0ms | z | @ | inf | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y)) |
| 1.0ms | y | @ | inf | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y)) |
| 1× | egg-herbie |
| 8 096× | lower-fma.f64 |
| 8 096× | lower-fma.f32 |
| 3 860× | lower-*.f64 |
| 3 860× | lower-*.f32 |
| 940× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 844 |
| 1 | 244 | 844 |
| 2 | 750 | 844 |
| 3 | 2131 | 844 |
| 4 | 5841 | 844 |
| 0 | 8161 | 763 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(* x y) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 2 (pow z 2)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 2 (pow z 2)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 2 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 2 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 2 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.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) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (pow z 2) y))) |
(fma.f64 z z (*.f64 y x)) |
(* y (+ x (/ (pow z 2) y))) |
(fma.f64 z z (*.f64 y x)) |
(* y (+ x (/ (pow z 2) y))) |
(fma.f64 z z (*.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) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 2 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.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 (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.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) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
| 10 458× | lower-fma.f64 |
| 10 458× | lower-fma.f32 |
| 4 638× | lower-*.f32 |
| 4 634× | lower-*.f64 |
| 3 250× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 36 |
| 0 | 13 | 36 |
| 1 | 55 | 32 |
| 2 | 517 | 26 |
| 3 | 7580 | 26 |
| 0 | 8184 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) |
(+.f64 (*.f64 x y) (*.f64 z z)) |
(*.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 y x)) z) (neg.f64 z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 z z (*.f64 y x)) z) (neg.f64 z)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (neg.f64 (fma.f64 z z (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 y x)) z) (neg.f64 z)) (-.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 y x)) z) (neg.f64 z)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 z z)))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (*.f64 y x))))) |
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) |
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(*.f64 (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (fma.f64 z z (*.f64 y x)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 z z (*.f64 y x)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) (fma.f64 (neg.f64 z) z (*.f64 y x)))) |
(*.f64 (fma.f64 z z (*.f64 y x)) (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (pow.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) #s(literal -1 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (pow.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 8 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (pow.f64 z #s(literal 18 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))) (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z z) (*.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 z z) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z z) (*.f64 y x)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) (+.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 8 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (pow.f64 z #s(literal 18 binary64))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (*.f64 y x))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 z z (*.f64 y x)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 z z (*.f64 y x)) z) z (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x)) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 y x)) |
(fma.f64 (*.f64 (*.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(fma.f64 z z (*.f64 y x)) |
(fma.f64 (*.f64 y x) (/.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(fma.f64 y (/.f64 (*.f64 (*.f64 x x) y) (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(fma.f64 y x (*.f64 z z)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(fma.f64 x y (*.f64 z z)) |
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 z z) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(+.f64 (*.f64 z z) (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 z z)) |
(*.f64 y x) |
(*.f64 x y) |
Compiled 11 480 to 1 016 computations (91.1% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 448 | 8 | 456 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 449 | 8 | 457 |
| Status | Accuracy | Program |
|---|---|---|
| 98.4% | (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) | |
| ▶ | 99.1% | (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
| ▶ | 97.9% | (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
| ▶ | 97.8% | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) |
| ▶ | 76.4% | (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
| 98.3% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))) | |
| 53.4% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) | |
| ▶ | 52.9% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
Compiled 144 to 120 computations (16.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) | |
| cost-diff | 192 | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) | |
| cost-diff | 512 | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) | |
| cost-diff | 128 | (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 z z)) | |
| cost-diff | 0 | (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
| 136× | lower-fma.f32 |
| 130× | lower-fma.f64 |
| 82× | lower-*.f32 |
| 76× | lower-*.f64 |
| 40× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 171 |
| 0 | 36 | 150 |
| 1 | 59 | 145 |
| 2 | 83 | 141 |
| 3 | 105 | 141 |
| 4 | 120 | 141 |
| 5 | 127 | 141 |
| 6 | 128 | 141 |
| 0 | 128 | 137 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
y |
x |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(*.f64 z z) |
z |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
(*.f64 y x) |
y |
x |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) |
(fma.f64 z z (*.f64 y x)) |
z |
(*.f64 y x) |
y |
x |
(*.f64 z z) |
| Outputs |
|---|
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
(fma.f64 x y (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
y |
x |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(*.f64 z z) |
z |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(fma.f64 x y (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 x y (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) |
(fma.f64 #s(literal 2 binary64) (*.f64 z z) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) |
(fma.f64 z z (*.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x y))) |
(fma.f64 z z (*.f64 y x)) |
(fma.f64 z z (*.f64 x y)) |
z |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(*.f64 z z) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2539041858302058 | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) | |
| accuracy | 0.3593729358302058 | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) | |
| accuracy | 0.5275578660341044 | (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) | |
| accuracy | 1.0038952404222408 | (fma.f64 z z (*.f64 y x)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 1.136716685830206 | (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.3593729358302058 | (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) | |
| accuracy | 30.16653600367759 | #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 30.171774902161697 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0.21484375 | (*.f64 #s(literal 3 binary64) (*.f64 z z)) | |
| accuracy | 0.5039007452111204 | (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
| 175.0ms | 256× | 0 | valid |
Compiled 168 to 21 computations (87.5% saved)
ival-add: 149.0ms (93.8% of total)ival-mult: 6.0ms (3.8% of total)ival-div: 3.0ms (1.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (+ (* -1 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.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 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ (pow z 2) (* x (pow y 2))) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow y 3))) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (/ (pow z 4) (pow y 3))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | ((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* 3 (* z z)) (* y x)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (+ (* z z) (* y x))) (+ (* z z) (* y x))) |
| 1.0ms | z | @ | 0 | ((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* 3 (* z z)) (* y x)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (+ (* z z) (* y x))) (+ (* z z) (* y x))) |
| 1.0ms | z | @ | -inf | ((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* 3 (* z z)) (* y x)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (+ (* z z) (* y x))) (+ (* z z) (* y x))) |
| 1.0ms | x | @ | -inf | ((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* 3 (* z z)) (* y x)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (+ (* z z) (* y x))) (+ (* z z) (* y x))) |
| 1.0ms | y | @ | -inf | ((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* 3 (* z z)) (* y x)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (+ (* z z) (* y x))) (+ (* z z) (* y x))) |
| 1× | egg-herbie |
| 11 550× | lower-fma.f64 |
| 11 550× | lower-fma.f32 |
| 5 828× | lower-*.f64 |
| 5 828× | lower-*.f32 |
| 3 484× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 249 | 3786 |
| 1 | 780 | 3754 |
| 2 | 2323 | 3714 |
| 3 | 7969 | 3702 |
| 0 | 9164 | 3446 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(* x y) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(/ 1 (pow z 2)) |
(/ (+ 1 (* -1 (/ (* x y) (pow z 2)))) (pow z 2)) |
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2))) (pow z 2)) |
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(/ 1 (pow z 2)) |
(/ (+ 1 (* -1 (/ (* x y) (pow z 2)))) (pow z 2)) |
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2))) (pow z 2)) |
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 2 (pow z 2)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 2 (pow z 2)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(/ 1 (pow z 2)) |
(+ (* -1 (/ (* x y) (pow z 4))) (/ 1 (pow z 2))) |
(+ (* y (- (/ (* (pow x 2) y) (pow z 6)) (/ x (pow z 4)))) (/ 1 (pow z 2))) |
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 8))) (* -1 (/ (pow x 2) (pow z 6))))) (/ x (pow z 4)))) (/ 1 (pow z 2))) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* x y) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(/ 1 (* x y)) |
(/ (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y) |
(/ (- (+ (/ 1 x) (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y))) y) |
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y)))) y) |
(* x y) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* x y) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* x y) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(/ 1 (* x y)) |
(* -1 (/ (- (/ (pow z 2) (* (pow x 2) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* (pow x 3) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* (pow x 4) y)) (/ (pow z 4) (pow x 3))) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y)) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 2 (pow z 2)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 2 (pow z 2)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(/ 1 (pow z 2)) |
(+ (* -1 (/ (* x y) (pow z 4))) (/ 1 (pow z 2))) |
(+ (* x (- (/ (* x (pow y 2)) (pow z 6)) (/ y (pow z 4)))) (/ 1 (pow z 2))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 8))) (* -1 (/ (pow y 2) (pow z 6))))) (/ y (pow z 4)))) (/ 1 (pow z 2))) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* x y) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(/ 1 (* x y)) |
(/ (+ (* -1 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x) |
(/ (- (+ (/ 1 y) (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2)))) x) |
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2))))) x) |
(* x y) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x y) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* x y) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(/ 1 (* x y)) |
(* -1 (/ (- (/ (pow z 2) (* x (pow y 2))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow y 3))) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (/ (pow z 4) (pow y 3))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x)) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) |
(/.f64 (fma.f64 (/.f64 z (*.f64 y x)) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) |
(+ (* (pow z 2) (- (/ (pow z 2) (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 z (*.f64 y x)) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (*.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))))) (/.f64 (fma.f64 (/.f64 z (*.f64 y x)) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 3 binary64)) (*.f64 z z)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
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(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64) y) x) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64) y) x) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64) y) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(*.f64 (fma.f64 (/.f64 z x) z y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(*.f64 (fma.f64 (/.f64 z x) z y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(*.f64 (fma.f64 (/.f64 z x) z y) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64) y) x) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64) y) x) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64) y) x) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(* -1 (/ (- (/ (pow z 2) (* x (pow y 2))) (/ 1 y)) x)) |
(/.f64 (fma.f64 (/.f64 z (*.f64 y x)) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow y 3))) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) (/.f64 z y) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (/ (pow z 4) (pow y 3))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 (/.f64 z y) (/.f64 z y) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) x)) x)) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(*.f64 (fma.f64 (/.f64 z x) z y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(*.f64 (fma.f64 (/.f64 z x) z y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(*.f64 (fma.f64 (/.f64 z x) z y) x) |
| 6 320× | lower-fma.f32 |
| 6 314× | lower-fma.f64 |
| 5 156× | lower-*.f32 |
| 5 150× | lower-*.f64 |
| 3 994× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 136 |
| 0 | 36 | 121 |
| 1 | 178 | 114 |
| 2 | 1310 | 114 |
| 0 | 8312 | 108 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
(*.f64 z z) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) |
(fma.f64 z z (*.f64 y x)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (fma.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y))) (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y))) (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (*.f64 (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) (*.f64 (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y))) (*.f64 (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y)) |
(fma.f64 z (*.f64 z #s(literal 3 binary64)) (*.f64 x y)) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y)) |
(fma.f64 x y (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(fma.f64 y x (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)))) |
(+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(*.f64 z (*.f64 z #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z))) |
(*.f64 z z) |
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (-.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (*.f64 z z)) #s(literal -1 binary64))) |
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(pow.f64 (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 x y) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (*.f64 (*.f64 z z) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 z z) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (*.f64 (*.f64 z z) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 x y) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (*.f64 (*.f64 x y) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 #s(literal 1 binary64) (*.f64 z z)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 #s(literal 1 binary64) (*.f64 x y)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (fma.f64 x y (*.f64 (neg.f64 z) z)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (neg.f64 (fma.f64 z z (*.f64 (neg.f64 x) y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 x y (*.f64 (neg.f64 z) z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 z z (*.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))) (*.f64 (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (fma.f64 x y (*.f64 (neg.f64 z) z)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) (*.f64 (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 z z (*.f64 (neg.f64 x) y)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (neg.f64 z) z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 x y (*.f64 (neg.f64 z) z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (neg.f64 x) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x y (*.f64 (neg.f64 z) z))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 z z (*.f64 (neg.f64 x) y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (neg.f64 z) z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 (neg.f64 z) z))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (neg.f64 x) y)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 z z (*.f64 (neg.f64 x) y))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 z z (*.f64 x y))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x y (*.f64 (neg.f64 z) z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z z (*.f64 (neg.f64 x) y)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z z (*.f64 x y)))) |
(/.f64 (fma.f64 z z (*.f64 x y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (*.f64 (neg.f64 z) z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (neg.f64 x) y)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (fma.f64 z z (*.f64 x y)))) |
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 x y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 #s(literal 1 binary64) (*.f64 z z))) |
(fma.f64 #s(literal 1 binary64) (*.f64 z z) (*.f64 #s(literal 1 binary64) (*.f64 x y))) |
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 z z) #s(literal 1 binary64))) |
(fma.f64 (*.f64 z z) #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal 1 binary64))) |
(fma.f64 z z (*.f64 x y)) |
(fma.f64 x y (*.f64 z z)) |
(fma.f64 y x (*.f64 z z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (neg.f64 z) z)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (neg.f64 z) z))))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (neg.f64 x) y)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (neg.f64 x) y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z)))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z z (*.f64 x y)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z z (*.f64 x y))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 z z (*.f64 x y)))) |
(+.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 z z) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (*.f64 (*.f64 x y) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 #s(literal 1 binary64) (*.f64 z z))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 #s(literal 1 binary64) (*.f64 x y))) |
(+.f64 (*.f64 x y) (*.f64 z z)) |
(+.f64 (*.f64 z z) (*.f64 x y)) |
Compiled 28 511 to 2 224 computations (92.2% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 148 | 5 | 1 153 |
| Fresh | 3 | 0 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 154 | 7 | 1 161 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.4% | (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) |
| ▶ | 76.8% | (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
| ▶ | 99.1% | (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
| ✓ | 97.9% | (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
| ▶ | 93.6% | (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) |
| ▶ | 53.4% | #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
| ✓ | 52.9% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
Compiled 110 to 86 computations (21.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) | |
| cost-diff | 128 | (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) | |
| cost-diff | 192 | (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 z x) z y) x) | |
| cost-diff | -128 | (+.f64 z z) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (fma.f64 z z (*.f64 x y)) | |
| cost-diff | 384 | (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) | |
| cost-diff | 0 | (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 (*.f64 z z) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 z #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 z #s(literal 3 binary64)) z) | |
| cost-diff | 0 | (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
| 11 746× | lower-fma.f32 |
| 11 736× | lower-fma.f64 |
| 6 580× | lower-*.f32 |
| 6 568× | lower-*.f64 |
| 2 164× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 215 |
| 0 | 53 | 181 |
| 1 | 91 | 181 |
| 2 | 118 | 178 |
| 3 | 148 | 178 |
| 4 | 176 | 172 |
| 5 | 254 | 172 |
| 6 | 467 | 172 |
| 7 | 1510 | 172 |
| 8 | 2588 | 172 |
| 9 | 3084 | 172 |
| 10 | 3867 | 172 |
| 11 | 4130 | 172 |
| 12 | 4430 | 172 |
| 13 | 4864 | 172 |
| 14 | 5787 | 172 |
| 15 | 6395 | 172 |
| 0 | 8714 | 168 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
y |
x |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(*.f64 z z) |
z |
#s(literal 3 binary64) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
z |
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) |
z |
(+.f64 z z) |
(fma.f64 z z (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) |
(+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) |
#s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) |
(*.f64 (fma.f64 (/.f64 z x) z y) x) |
(fma.f64 (/.f64 z x) z y) |
(/.f64 z x) |
z |
x |
y |
(*.f64 z z) |
| Outputs |
|---|
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(fma.f64 x y (*.f64 (*.f64 #s(literal 3 binary64) z) z)) |
y |
x |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(*.f64 (*.f64 #s(literal 3 binary64) z) z) |
(*.f64 z #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) z) |
z |
#s(literal 3 binary64) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) z) |
(*.f64 z z) |
z |
#s(literal 3 binary64) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
z |
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) |
(fma.f64 x y (*.f64 (*.f64 #s(literal 3 binary64) z) z)) |
z |
(+.f64 z z) |
(*.f64 #s(literal 2 binary64) z) |
(fma.f64 z z (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 #s(literal 2 binary64) (*.f64 z z) #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (fma.f64 z z (*.f64 x y)))) |
(+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) |
(fma.f64 z z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (fma.f64 z z (*.f64 x y)))) |
#s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) |
#s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (fma.f64 z z (*.f64 x y))) |
(*.f64 (fma.f64 (/.f64 z x) z y) x) |
(fma.f64 z z (*.f64 x y)) |
(fma.f64 (/.f64 z x) z y) |
(/.f64 z x) |
z |
x |
y |
(*.f64 z z) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06640625 | (fma.f64 (/.f64 z x) z y) | |
| accuracy | 0.2539041858302058 | (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) | |
| accuracy | 0.3593729358302058 | (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) | |
| accuracy | 3.8123156212925995 | (*.f64 (fma.f64 (/.f64 z x) z y) x) | |
| accuracy | 0 | (+.f64 z z) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.03515625 | (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) | |
| accuracy | 1.0038952404222408 | (fma.f64 z z (*.f64 x y)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.0390625 | (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) | |
| accuracy | 30.16653600367759 | #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0.21484375 | (*.f64 (*.f64 z z) #s(literal 3 binary64)) | |
| accuracy | 29.744402172397848 | #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) | |
| accuracy | 0 | (*.f64 z #s(literal 3 binary64)) | |
| accuracy | 0.14453125 | (*.f64 (*.f64 z #s(literal 3 binary64)) z) | |
| accuracy | 0.5039007452111204 | (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
| 210.0ms | 256× | 0 | valid |
Compiled 183 to 30 computations (83.6% saved)
ival-mult: 153.0ms (89.8% of total)ival-add: 11.0ms (6.5% of total)ival-div: 5.0ms (2.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z z) #s(literal 3 binary64)) (patch (*.f64 (*.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) (patch (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z z (*.f64 x y)) (patch (fma.f64 z z (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (patch (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) #s(literal 3 binary64)) (patch (*.f64 (*.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) #s(literal 3 binary64)) (patch (*.f64 (*.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) #s(literal 3 binary64)) (patch (*.f64 (*.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) #s(literal 3 binary64)) (patch (*.f64 (*.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) (patch (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) (patch (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) (patch (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) (patch (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z z (*.f64 x y)) (patch (fma.f64 z z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (*.f64 x y)) (patch (fma.f64 z z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (*.f64 x y)) (patch (fma.f64 z z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (*.f64 x y)) (patch (fma.f64 z z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) (patch (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) (patch (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) (patch (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) (patch (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 z z (*.f64 x y)) (patch (fma.f64 z z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (*.f64 x y)) (patch (fma.f64 z z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (*.f64 x y)) (patch (fma.f64 z z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (*.f64 x y)) (patch (fma.f64 z z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (patch (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (patch (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (patch (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (patch (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (/ (pow z 2) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (/ (pow z 2) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (/ (pow z 2) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | z | @ | -inf | ((+ (* y x) (* (* z 3) z)) (* (* z 3) z) (* z 3) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (* x y) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (+ z z) (* (+ (* (/ z x) z) y) x) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y)) |
| 2.0ms | z | @ | 0 | ((+ (* y x) (* (* z 3) z)) (* (* z 3) z) (* z 3) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (* x y) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (+ z z) (* (+ (* (/ z x) z) y) x) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y)) |
| 2.0ms | z | @ | inf | ((+ (* y x) (* (* z 3) z)) (* (* z 3) z) (* z 3) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (* x y) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (+ z z) (* (+ (* (/ z x) z) y) x) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y)) |
| 1.0ms | x | @ | -inf | ((+ (* y x) (* (* z 3) z)) (* (* z 3) z) (* z 3) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (* x y) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (+ z z) (* (+ (* (/ z x) z) y) x) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y)) |
| 1.0ms | y | @ | 0 | ((+ (* y x) (* (* z 3) z)) (* (* z 3) z) (* z 3) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (* x y) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (+ z z) (* (+ (* (/ z x) z) y) x) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y)) |
| 1× | egg-herbie |
| 8 094× | lower-fma.f64 |
| 8 094× | lower-fma.f32 |
| 3 804× | lower-*.f64 |
| 3 804× | lower-*.f32 |
| 1 056× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 3114 |
| 1 | 341 | 3114 |
| 2 | 1018 | 3114 |
| 3 | 3433 | 3114 |
| 4 | 6488 | 3114 |
| 0 | 8100 | 2817 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* x y) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(* x y) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
y |
(+ y (/ (pow z 2) x)) |
(+ y (/ (pow z 2) x)) |
(+ y (/ (pow z 2) x)) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(/ (pow z 2) x) |
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2)))) |
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2)))) |
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(/ (pow z 2) x) |
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2)))) |
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2)))) |
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2)))) |
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 2 (pow z 2)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 2 (pow z 2)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(/ (pow z 2) x) |
(+ y (/ (pow z 2) x)) |
(+ y (/ (pow z 2) x)) |
(+ y (/ (pow z 2) x)) |
(* x y) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* x y) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
y |
(* y (+ 1 (/ (pow z 2) (* x y)))) |
(* y (+ 1 (/ (pow z 2) (* x y)))) |
(* y (+ 1 (/ (pow z 2) (* x y)))) |
(* x y) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
y |
(* -1 (* y (- (* -1 (/ (pow z 2) (* x y))) 1))) |
(* -1 (* y (- (* -1 (/ (pow z 2) (* x y))) 1))) |
(* -1 (* y (- (* -1 (/ (pow z 2) (* x y))) 1))) |
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 2 (pow z 2)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 2 (pow z 2)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (* x y)) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(/ (pow z 2) x) |
(/ (+ (* x y) (pow z 2)) x) |
(/ (+ (* x y) (pow z 2)) x) |
(/ (+ (* x y) (pow z 2)) x) |
(* x y) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x y) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
y |
(+ y (/ (pow z 2) x)) |
(+ y (/ (pow z 2) x)) |
(+ y (/ (pow z 2) x)) |
(* x y) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
y |
(+ y (/ (pow z 2) x)) |
(+ y (/ (pow z 2) x)) |
(+ y (/ (pow z 2) x)) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
y |
(+ y (/ (pow z 2) x)) |
(fma.f64 (/.f64 z x) z y) |
(+ y (/ (pow z 2) x)) |
(fma.f64 (/.f64 z x) z y) |
(+ y (/ (pow z 2) x)) |
(fma.f64 (/.f64 z x) z y) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
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(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.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) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 y x)) |
y |
(* -1 (* y (- (* -1 (/ (pow z 2) (* x y))) 1))) |
(fma.f64 (/.f64 z x) z y) |
(* -1 (* y (- (* -1 (/ (pow z 2) (* x y))) 1))) |
(fma.f64 (/.f64 z x) z y) |
(* -1 (* y (- (* -1 (/ (pow z 2) (* x y))) 1))) |
(fma.f64 (/.f64 z x) z y) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 2 (pow z 2)) |
(*.f64 (*.f64 #s(literal 2 binary64) z) z) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 2 (pow z 2)) |
(*.f64 (*.f64 #s(literal 2 binary64) z) z) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (+ (* x y) (pow z 2)) x) |
(/.f64 (fma.f64 z z (*.f64 y x)) x) |
(/ (+ (* x y) (pow z 2)) x) |
(/.f64 (fma.f64 z z (*.f64 y x)) x) |
(/ (+ (* x y) (pow z 2)) x) |
(/.f64 (fma.f64 z z (*.f64 y x)) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.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 (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
y |
(+ y (/ (pow z 2) x)) |
(fma.f64 (/.f64 z x) z y) |
(+ y (/ (pow z 2) x)) |
(fma.f64 (/.f64 z x) z y) |
(+ y (/ (pow z 2) x)) |
(fma.f64 (/.f64 z x) z y) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.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) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
y |
(+ y (/ (pow z 2) x)) |
(fma.f64 (/.f64 z x) z y) |
(+ y (/ (pow z 2) x)) |
(fma.f64 (/.f64 z x) z y) |
(+ y (/ (pow z 2) x)) |
(fma.f64 (/.f64 z x) z y) |
| 8 806× | lower-fma.f32 |
| 8 796× | lower-fma.f64 |
| 3 840× | lower-/.f32 |
| 3 838× | lower-/.f64 |
| 3 648× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 191 |
| 0 | 53 | 162 |
| 1 | 265 | 154 |
| 2 | 1970 | 154 |
| 0 | 8248 | 148 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(*.f64 z #s(literal 3 binary64)) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(*.f64 z z) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) |
(*.f64 x y) |
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) |
(fma.f64 z z (*.f64 x y)) |
(+.f64 z z) |
(*.f64 (fma.f64 (/.f64 z x) z y) x) |
(+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) |
(+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) |
#s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) |
(fma.f64 (/.f64 z x) z y) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) #s(literal -1 binary64))) |
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(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 z x) z) y) (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 z x) z) y) (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 z x) y) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) x) y) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (pow.f64 z #s(literal -1 binary64))) y) |
(fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) y) |
(fma.f64 (/.f64 z x) z y) |
(fma.f64 (*.f64 z z) (pow.f64 x #s(literal -1 binary64)) y) |
(fma.f64 z (/.f64 z x) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (/.f64 z x) z))) (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 y (*.f64 (/.f64 z x) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z x) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 z x) z) y))) |
(+.f64 (*.f64 (/.f64 z x) z) y) |
(+.f64 y (*.f64 (/.f64 z x) z)) |
Compiled 19 070 to 1 544 computations (91.9% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 015 | 4 | 1 019 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 018 | 8 | 1 026 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.1% | (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) |
| ▶ | 53.5% | (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) |
| ▶ | 77.4% | (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) |
| ✓ | 76.8% | (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
| ✓ | 99.1% | (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
| ✓ | 53.4% | #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
| ▶ | 53.4% | #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
| ✓ | 52.9% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
Compiled 63 to 56 computations (11.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 z x) z y) x) | |
| cost-diff | -128 | (+.f64 z z) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (+ (* z z) (* x y)) (*.f64 z z)) | |
| cost-diff | 0 | (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) | |
| cost-diff | -128 | (+.f64 z z) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* z z) (* x y)) (*.f64 y x)) | |
| cost-diff | 0 | (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) | |
| cost-diff | 0 | (*.f64 z #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 z #s(literal 3 binary64)) z) | |
| cost-diff | 0 | #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
| 12 162× | lower-fma.f32 |
| 12 154× | lower-fma.f64 |
| 6 580× | lower-*.f32 |
| 6 568× | lower-*.f64 |
| 2 164× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 174 |
| 0 | 46 | 160 |
| 1 | 76 | 160 |
| 2 | 114 | 156 |
| 3 | 152 | 156 |
| 4 | 182 | 153 |
| 5 | 257 | 153 |
| 6 | 472 | 153 |
| 7 | 1496 | 153 |
| 8 | 2552 | 153 |
| 9 | 3051 | 153 |
| 10 | 3829 | 153 |
| 11 | 4094 | 153 |
| 12 | 4394 | 153 |
| 13 | 4866 | 153 |
| 14 | 5815 | 153 |
| 15 | 6407 | 153 |
| 0 | 8711 | 143 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) |
z |
(+.f64 z z) |
#s(approx (+ (* z z) (* x y)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) |
z |
(+.f64 z z) |
#s(approx (+ (* z z) (* x y)) (*.f64 z z)) |
(*.f64 z z) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
#s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) |
(*.f64 (fma.f64 (/.f64 z x) z y) x) |
(fma.f64 (/.f64 z x) z y) |
(/.f64 z x) |
x |
y |
| Outputs |
|---|
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(*.f64 (*.f64 #s(literal 3 binary64) z) z) |
(*.f64 z #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) z) |
z |
#s(literal 3 binary64) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) |
(fma.f64 #s(literal 2 binary64) (*.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))) |
z |
(+.f64 z z) |
(*.f64 #s(literal 2 binary64) z) |
#s(approx (+ (* z z) (* x y)) (*.f64 y x)) |
#s(approx (+ (* z z) (* x y)) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) |
(fma.f64 #s(literal 2 binary64) (*.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) |
z |
(+.f64 z z) |
(*.f64 #s(literal 2 binary64) z) |
#s(approx (+ (* z z) (* x y)) (*.f64 z z)) |
(*.f64 z z) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) |
(fma.f64 #s(literal 2 binary64) (*.f64 z z) #s(approx (+ (* z z) (* x y)) (fma.f64 x y (*.f64 z z)))) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
#s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) |
#s(approx (+ (* z z) (* x y)) (fma.f64 x y (*.f64 z z))) |
(*.f64 (fma.f64 (/.f64 z x) z y) x) |
(fma.f64 x y (*.f64 z z)) |
(fma.f64 (/.f64 z x) z y) |
(/.f64 z x) |
x |
y |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) | |
| accuracy | 0.03515625 | (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) | |
| accuracy | 0.06640625 | (fma.f64 (/.f64 z x) z y) | |
| accuracy | 3.8123156212925995 | (*.f64 (fma.f64 (/.f64 z x) z y) x) | |
| accuracy | 0 | (+.f64 z z) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0.03515625 | (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) | |
| accuracy | 29.74534565195326 | #s(approx (+ (* z z) (* x y)) (*.f64 z z)) | |
| accuracy | 0 | (+.f64 z z) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.03515625 | (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) | |
| accuracy | 30.157525686121364 | #s(approx (+ (* z z) (* x y)) (*.f64 y x)) | |
| accuracy | 0 | (*.f64 z #s(literal 3 binary64)) | |
| accuracy | 0.14453125 | (*.f64 (*.f64 z #s(literal 3 binary64)) z) | |
| accuracy | 29.744402172397848 | #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
| 55.0ms | 256× | 0 | valid |
Compiled 141 to 29 computations (79.4% saved)
ival-add: 19.0ms (45.8% of total)ival-mult: 17.0ms (41% of total)ival-div: 5.0ms (12.1% 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 (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z z) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* z z) (* x y)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z z) (* x y)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* x y)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) z) (patch (*.f64 #s(literal 2 binary64) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* z z) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* z z) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* z z) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* z z) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* x y)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* x y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* x y)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* x y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* x y)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* x y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (/ (pow z 2) x)) (taylor inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (/ (pow z 2) x)) (taylor inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (/ (pow z 2) x)) (taylor inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* z z) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* z z) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* z z) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* z z) (* x y)) (*.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 (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* x y)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* x y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* x y)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* x y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* x y)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* x y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* x y)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* x y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (/ (pow z 2) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (/ (pow z 2) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (/ (pow z 2) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | ((+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* y x) (+ z z) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* z z) (* (+ (* (/ z x) z) y) x) (+ (* (* 2 z) z) (/ 1 (/ 1 (+ (* z z) (* y x))))) (* 2 z) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y)) |
| 2.0ms | z | @ | inf | ((+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* y x) (+ z z) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* z z) (* (+ (* (/ z x) z) y) x) (+ (* (* 2 z) z) (/ 1 (/ 1 (+ (* z z) (* y x))))) (* 2 z) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y)) |
| 1.0ms | z | @ | 0 | ((+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* y x) (+ z z) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* z z) (* (+ (* (/ z x) z) y) x) (+ (* (* 2 z) z) (/ 1 (/ 1 (+ (* z z) (* y x))))) (* 2 z) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y)) |
| 1.0ms | x | @ | -inf | ((+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* y x) (+ z z) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* z z) (* (+ (* (/ z x) z) y) x) (+ (* (* 2 z) z) (/ 1 (/ 1 (+ (* z z) (* y x))))) (* 2 z) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y)) |
| 1.0ms | y | @ | -inf | ((+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* y x) (+ z z) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* z z) (* (+ (* (/ z x) z) y) x) (+ (* (* 2 z) z) (/ 1 (/ 1 (+ (* z z) (* y x))))) (* 2 z) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y)) |
| 1× | egg-herbie |
| 6 826× | lower-fma.f64 |
| 6 826× | lower-fma.f32 |
| 3 256× | lower-*.f64 |
| 3 256× | lower-*.f32 |
| 1 288× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 2472 |
| 1 | 229 | 2472 |
| 2 | 688 | 2472 |
| 3 | 2477 | 2472 |
| 4 | 5704 | 2472 |
| 0 | 8079 | 2229 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* x y) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* x y) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* x y) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
y |
(+ y (/ (pow z 2) x)) |
(+ y (/ (pow z 2) x)) |
(+ y (/ (pow z 2) x)) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(/ (pow z 2) x) |
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2)))) |
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2)))) |
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 (pow z 2)) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(/ (pow z 2) x) |
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2)))) |
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2)))) |
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2)))) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(/ (pow z 2) x) |
(+ y (/ (pow z 2) x)) |
(+ y (/ (pow z 2) x)) |
(+ y (/ (pow z 2) x)) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* x y) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* x y) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* x y) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (/ (pow z 2) y))) |
y |
(* y (+ 1 (/ (pow z 2) (* x y)))) |
(* y (+ 1 (/ (pow z 2) (* x y)))) |
(* y (+ 1 (/ (pow z 2) (* x y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
y |
(* -1 (* y (- (* -1 (/ (pow z 2) (* x y))) 1))) |
(* -1 (* y (- (* -1 (/ (pow z 2) (* x y))) 1))) |
(* -1 (* y (- (* -1 (/ (pow z 2) (* x y))) 1))) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(+ (* x y) (pow z 2)) |
(/ (pow z 2) x) |
(/ (+ (* x y) (pow z 2)) x) |
(/ (+ (* x y) (pow z 2)) x) |
(/ (+ (* x y) (pow z 2)) x) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x y) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x y) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (/ (pow z 2) x))) |
y |
(+ y (/ (pow z 2) x)) |
(+ y (/ (pow z 2) x)) |
(+ y (/ (pow z 2) x)) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
y |
(+ y (/ (pow z 2) x)) |
(+ y (/ (pow z 2) x)) |
(+ y (/ (pow z 2) x)) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
y |
(+ y (/ (pow z 2) x)) |
(fma.f64 (/.f64 z x) z y) |
(+ y (/ (pow z 2) x)) |
(fma.f64 (/.f64 z x) z y) |
(+ y (/ (pow z 2) x)) |
(fma.f64 (/.f64 z x) z y) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 3 (pow z 2)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
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(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(/ (pow z 2) x) |
(/.f64 (*.f64 z z) x) |
(/ (+ (* x y) (pow z 2)) x) |
(/.f64 (fma.f64 z z (*.f64 y x)) x) |
(/ (+ (* x y) (pow z 2)) x) |
(/.f64 (fma.f64 z z (*.f64 y x)) x) |
(/ (+ (* x y) (pow z 2)) x) |
(/.f64 (fma.f64 z z (*.f64 y x)) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.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 (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
y |
(+ y (/ (pow z 2) x)) |
(fma.f64 (/.f64 z x) z y) |
(+ y (/ (pow z 2) x)) |
(fma.f64 (/.f64 z x) z y) |
(+ y (/ (pow z 2) x)) |
(fma.f64 (/.f64 z x) z y) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.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) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
y |
(+ y (/ (pow z 2) x)) |
(fma.f64 (/.f64 z x) z y) |
(+ y (/ (pow z 2) x)) |
(fma.f64 (/.f64 z x) z y) |
(+ y (/ (pow z 2) x)) |
(fma.f64 (/.f64 z x) z y) |
| 8 516× | lower-fma.f32 |
| 8 508× | lower-fma.f64 |
| 4 750× | lower-*.f32 |
| 4 738× | lower-*.f64 |
| 4 088× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 158 |
| 0 | 46 | 144 |
| 1 | 203 | 139 |
| 2 | 1431 | 139 |
| 0 | 8624 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(*.f64 z #s(literal 3 binary64)) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) |
#s(approx (+ (* z z) (* x y)) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 z z) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) |
#s(approx (+ (* z z) (* x y)) (*.f64 z z)) |
(*.f64 z z) |
(*.f64 (fma.f64 (/.f64 z x) z y) x) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) |
(*.f64 #s(literal 2 binary64) z) |
#s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) |
(fma.f64 (/.f64 z x) z y) |
| Outputs |
|---|
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) z) |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(*.f64 z (*.f64 #s(literal 3 binary64) z)) |
(*.f64 #s(literal 3 binary64) z) |
(*.f64 z #s(literal 3 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (-.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (-.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) (/.f64 (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) (/.f64 (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 z z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (+.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 z z)) (+.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (+.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 z z)) (*.f64 z z))))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 z z #s(approx (+ (* z z) (* x y)) (*.f64 x y))) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 z z #s(approx (+ (* z z) (* x y)) (*.f64 x y))) (fma.f64 z z #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) (*.f64 (*.f64 z z) (fma.f64 z z #s(approx (+ (* z z) (* x y)) (*.f64 x y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (-.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))) (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (-.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) |
(/.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (-.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (-.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (-.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 3 binary64))))) |
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (fma.f64 z z #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(approx (+ (* z z) (* x y)) (*.f64 x y))) |
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(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (-.f64 (*.f64 (/.f64 z x) z) y) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 z x) z) y) (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z x) z) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 z x) z) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z x) z) y)) (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z x) z) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 z x) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 z x) z) y)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z x) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 z x) z) y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (/.f64 z x) z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 z x) z) y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z x) z) y)) (*.f64 (-.f64 (*.f64 (/.f64 z x) z) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 (/.f64 z x) z) y) (-.f64 (*.f64 (/.f64 z x) z) y))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))) (-.f64 y (*.f64 (/.f64 z x) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 (/.f64 z x) z) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 z x) z) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 (/.f64 z x) z) y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 z x) z) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 z x) z) y) (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 z x) z) y) (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) x) y) |
(fma.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 z x) y) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (pow.f64 z #s(literal -1 binary64))) y) |
(fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) y) |
(fma.f64 (/.f64 z x) z y) |
(fma.f64 (*.f64 z z) (pow.f64 x #s(literal -1 binary64)) y) |
(fma.f64 z (/.f64 z x) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (/.f64 z x) z))) (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 y (*.f64 (/.f64 z x) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z x) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 z x) z) y))) |
(+.f64 (*.f64 (/.f64 z x) z) y) |
(+.f64 y (*.f64 (/.f64 z x) z)) |
Compiled 13 519 to 1 044 computations (92.3% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 850 | 1 | 851 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 4 | 4 |
| Total | 851 | 8 | 859 |
| Status | Accuracy | Program |
|---|---|---|
| 94.1% | (fma.f64 (+.f64 z z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) | |
| ✓ | 53.5% | (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) |
| ✓ | 77.4% | (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) |
| ✓ | 76.8% | (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
| ✓ | 99.1% | (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
| ✓ | 53.4% | #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
| ✓ | 53.4% | #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
| ✓ | 52.9% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
Compiled 251 to 106 computations (57.8% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) |
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 (+.f64 z z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) |
(+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) |
| Outputs |
|---|
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
6 calls:
| 11.0ms | x |
| 8.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 6.0ms | y |
| 6.0ms | z |
| 6.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | y |
| 99.1% | 1 | z |
| 99.1% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 99.1% | 1 | (*.f64 x y) |
| 99.1% | 1 | (*.f64 z z) |
Compiled 24 to 25 computations (-4.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
| Outputs |
|---|
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
6 calls:
| 8.0ms | z |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 4.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | y |
| 99.1% | 1 | z |
| 99.1% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 99.1% | 1 | (*.f64 x y) |
| 99.1% | 1 | (*.f64 z z) |
Compiled 24 to 25 computations (-4.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))) |
6 calls:
| 6.0ms | x |
| 6.0ms | (*.f64 x y) |
| 4.0ms | y |
| 4.0ms | z |
| 4.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | x |
| 98.3% | 1 | y |
| 98.3% | 1 | z |
| 98.3% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 98.3% | 1 | (*.f64 x y) |
| 98.3% | 1 | (*.f64 z z) |
Compiled 24 to 25 computations (-4.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) |
| Outputs |
|---|
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) |
6 calls:
| 10.0ms | x |
| 3.0ms | y |
| 3.0ms | z |
| 3.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 3.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.3% | 3 | x |
| 82.0% | 3 | y |
| 86.6% | 2 | z |
| 77.4% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 84.3% | 3 | (*.f64 x y) |
| 86.6% | 2 | (*.f64 z z) |
Compiled 24 to 25 computations (-4.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) |
| Outputs |
|---|
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
2 calls:
| 3.0ms | z |
| 3.0ms | (*.f64 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.5% | 2 | z |
| 86.5% | 2 | (*.f64 z z) |
Compiled 4 to 7 computations (-75% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) |
| Outputs |
|---|
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
2 calls:
| 3.0ms | z |
| 2.0ms | (*.f64 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.3% | 2 | z |
| 86.3% | 2 | (*.f64 z z) |
Compiled 4 to 7 computations (-75% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
2 calls:
| 2.0ms | z |
| 2.0ms | (*.f64 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.4% | 2 | z |
| 85.4% | 2 | (*.f64 z z) |
Compiled 4 to 7 computations (-75% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
2 calls:
| 5.0ms | z |
| 1.0ms | (*.f64 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.3% | 2 | z |
| 85.3% | 2 | (*.f64 z z) |
Compiled 4 to 7 computations (-75% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
6 calls:
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 x y) |
| 1.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.9% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 52.9% | 1 | y |
| 52.9% | 1 | x |
| 52.9% | 1 | (*.f64 x y) |
| 52.9% | 1 | z |
| 52.9% | 1 | (*.f64 z z) |
Compiled 24 to 25 computations (-4.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1815030418135915e+20 | 1.9294892490572007e+27 |
Compiled 14 to 14 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1815030418135915e+20 | 1.9294892490572007e+27 |
Compiled 14 to 14 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1815030418135915e+20 | 1.9294892490572007e+27 |
Compiled 14 to 14 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1815030418135915e+20 | 1.9294892490572007e+27 |
Compiled 14 to 14 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.1815030418135915e+20 | 1.9294892490572007e+27 |
| 5.0ms | 125× | 0 | valid |
| 1.0ms | 7× | 2 | valid |
| 1.0ms | 9× | 1 | valid |
| 0.0ms | 3× | 3 | valid |
Compiled 86 to 131 computations (-52.3% saved)
ival-add: 2.0ms (47.8% of total)adjust: 1.0ms (23.9% of total)ival-mult: 1.0ms (23.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 8× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 289 |
| 1 | 54 | 289 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))) |
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z)))) |
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))) |
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))) |
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))) |
(if (<=.f64 (*.f64 z z) #s(literal 1220000000000000054693724160 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
| Outputs |
|---|
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z)) |
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
(fma.f64 y x (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 x y))) |
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z)))) |
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z)))) |
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))) |
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))) #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))) |
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))) |
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))) |
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))) |
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y)) #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))) |
(if (<=.f64 (*.f64 z z) #s(literal 1220000000000000054693724160 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))) |
(if (<=.f64 (*.f64 z z) #s(literal 1220000000000000054693724160 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y)) |
| 11 550× | lower-fma.f64 |
| 11 550× | lower-fma.f32 |
| 10 458× | lower-fma.f64 |
| 10 458× | lower-fma.f32 |
| 8 096× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 249 | 3786 |
| 1 | 780 | 3754 |
| 2 | 2323 | 3714 |
| 3 | 7969 | 3702 |
| 0 | 9164 | 3446 |
| 0 | 99 | 3114 |
| 1 | 341 | 3114 |
| 2 | 1018 | 3114 |
| 3 | 3433 | 3114 |
| 4 | 6488 | 3114 |
| 0 | 8100 | 2817 |
| 0 | 70 | 844 |
| 1 | 244 | 844 |
| 2 | 750 | 844 |
| 3 | 2131 | 844 |
| 4 | 5841 | 844 |
| 0 | 8161 | 763 |
| 0 | 23 | 136 |
| 0 | 36 | 121 |
| 1 | 178 | 114 |
| 2 | 1310 | 114 |
| 0 | 8312 | 108 |
| 0 | 8 | 36 |
| 0 | 13 | 36 |
| 1 | 55 | 32 |
| 2 | 517 | 26 |
| 3 | 7580 | 26 |
| 0 | 8184 | 23 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 870 to 352 computations (59.5% saved)
(sort x y)
(abs z)
Compiled 458 to 236 computations (48.5% saved)
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