
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 9 to 9 computations (0% saved)
| 438.0ms | 8 256× | 0 | valid |
ival-mult: 167.0ms (75.9% of total)ival-sub: 40.0ms (18.2% of total)ival-true: 6.0ms (2.7% of total)exact: 5.0ms (2.3% of total)ival-assert: 3.0ms (1.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 30.0ms | 512× | 0 | valid |
Compiled 52 to 25 computations (51.9% saved)
ival-mult: 7.0ms (69.7% of total)ival-sub: 2.0ms (19.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 304× | lower-fma.f64 |
| 304× | lower-fma.f32 |
| 224× | lower-*.f32 |
| 220× | lower-*.f64 |
| 174× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 69 |
| 1 | 69 | 63 |
| 2 | 165 | 63 |
| 3 | 407 | 63 |
| 4 | 772 | 63 |
| 5 | 970 | 63 |
| 6 | 1030 | 63 |
| 7 | 1030 | 63 |
| 0 | 7 | 7 |
| 0 | 10 | 7 |
| 1 | 16 | 7 |
| 2 | 28 | 7 |
| 3 | 36 | 7 |
| 4 | 63 | 7 |
| 5 | 106 | 7 |
| 6 | 190 | 7 |
| 7 | 312 | 7 |
| 8 | 404 | 7 |
| 9 | 429 | 7 |
| 10 | 437 | 7 |
| 0 | 437 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| Outputs |
|---|
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
(sort x y)
Compiled 10 to 7 computations (30% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 304× | lower-fma.f64 |
| 304× | lower-fma.f32 |
| 224× | lower-*.f32 |
| 220× | lower-*.f64 |
| 98× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 0 | 10 | 19 |
| 1 | 16 | 19 |
| 2 | 28 | 19 |
| 3 | 36 | 19 |
| 4 | 63 | 19 |
| 5 | 106 | 19 |
| 6 | 190 | 19 |
| 7 | 312 | 19 |
| 8 | 404 | 19 |
| 9 | 429 | 19 |
| 10 | 437 | 19 |
| 0 | 437 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
y |
z |
| Outputs |
|---|
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
y |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.0078125 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) | |
| accuracy | 0.17578125 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 12.0ms | 256× | 0 | valid |
Compiled 21 to 9 computations (57.1% saved)
ival-mult: 3.0ms (59.7% of total)ival-sub: 1.0ms (19.9% 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 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* x 3) |
| 1.0ms | y | @ | inf | (- (* (* x 3) y) z) |
| 0.0ms | x | @ | 0 | (- (* (* x 3) y) z) |
| 0.0ms | x | @ | inf | (- (* (* x 3) y) z) |
| 0.0ms | y | @ | 0 | (* (* x 3) y) |
| 1× | egg-herbie |
| 3 582× | lower-fma.f64 |
| 3 582× | lower-fma.f32 |
| 2 750× | lower-*.f64 |
| 2 750× | lower-*.f32 |
| 1 560× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 378 |
| 1 | 118 | 378 |
| 2 | 331 | 378 |
| 3 | 833 | 378 |
| 4 | 2352 | 378 |
| 5 | 4041 | 378 |
| 6 | 5990 | 378 |
| 7 | 7425 | 378 |
| 8 | 7937 | 378 |
| 0 | 8002 | 378 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
| Outputs |
|---|
(* -1 z) |
(neg.f64 z) |
(- (* 3 (* x y)) z) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(- (* 3 (* x y)) z) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(- (* 3 (* x y)) z) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* -1 z) |
(neg.f64 z) |
(- (* 3 (* x y)) z) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(- (* 3 (* x y)) z) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(- (* 3 (* x y)) z) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(+ (* -1 z) (* 3 (* x y))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(+ (* -1 z) (* 3 (* x y))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(+ (* -1 z) (* 3 (* x y))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
| 10 502× | lower-fma.f64 |
| 10 502× | lower-fma.f32 |
| 4 312× | lower-*.f32 |
| 4 308× | lower-*.f64 |
| 3 816× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 0 | 10 | 15 |
| 1 | 28 | 15 |
| 2 | 184 | 15 |
| 3 | 1862 | 15 |
| 0 | 8723 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(*.f64 x #s(literal 3 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) (neg.f64 z)) |
(+.f64 (neg.f64 z) (*.f64 #s(literal 3 binary64) (*.f64 x y))) |
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) |
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z))) #s(literal -1 binary64))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z))) |
(-.f64 #s(literal 0 binary64) (-.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z))) |
(-.f64 (/.f64 (*.f64 z z) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 19683 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))) (fma.f64 z z (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z z (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 19683 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 z z (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))) (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 z z (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))))) (fma.f64 z z (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))) (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))))) (fma.f64 z z (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z))))) |
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(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))) (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 19683 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))) (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y))) (*.f64 (*.f64 z z) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 z z)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (*.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 z z)) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 z z)))) |
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 0 binary64)) |
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y #s(literal 0 binary64)) |
(fma.f64 y (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) x #s(literal 0 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) (exp.f64 (log.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 x y))) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal 0 binary64)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))) #s(literal 0 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x y))) |
(pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 1 binary64)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 1 binary64))) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(*.f64 y (*.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(*.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 y))) |
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y)))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64))))) |
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 x y)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 #s(literal 3 binary64)))) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
Compiled 15 517 to 700 computations (95.5% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 323 | 5 | 328 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 324 | 5 | 329 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.7% | (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) |
| ▶ | 99.9% | (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
| ▶ | 99.8% | (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) |
| ▶ | 51.0% | #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
| ▶ | 50.5% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
Compiled 134 to 76 computations (43.3% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 x y)) | |
| cost-diff | 0 | (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) | |
| cost-diff | 832 | (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) | |
| cost-diff | 0 | (*.f64 x (*.f64 #s(literal 3 binary64) y)) | |
| cost-diff | 0 | #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
| 4 578× | lower-*.f32 |
| 4 562× | lower-*.f64 |
| 4 350× | lower-fma.f32 |
| 4 344× | lower-fma.f64 |
| 3 732× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 163 |
| 0 | 43 | 163 |
| 1 | 81 | 163 |
| 2 | 165 | 161 |
| 3 | 516 | 161 |
| 4 | 1513 | 161 |
| 5 | 3143 | 161 |
| 6 | 5088 | 158 |
| 7 | 7781 | 158 |
| 0 | 8054 | 157 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
y |
(neg.f64 z) |
z |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
x |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 x y) |
x |
y |
#s(literal 3 binary64) |
z |
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) |
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) |
x |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
#s(literal 3 binary64) |
(*.f64 x y) |
y |
(/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) |
(*.f64 #s(literal 3 binary64) y) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z) |
z |
(neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))) |
(/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) |
(*.f64 z z) |
| Outputs |
|---|
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
y |
(neg.f64 z) |
z |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
x |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(*.f64 x y) |
x |
y |
#s(literal 3 binary64) |
z |
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (fma.f64 z z (/.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y #s(literal 9 binary64))))) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
x |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
#s(literal 3 binary64) |
(*.f64 x y) |
y |
(/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) |
(*.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 #s(literal 3 binary64) y) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z) |
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z) |
z |
(neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))) |
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z)) |
(/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) |
(/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) |
(*.f64 z z) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.26171875 | (*.f64 #s(literal 3 binary64) (*.f64 x y)) | |
| accuracy | 7.023748941274423 | (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) | |
| accuracy | 8.108016427058747 | (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) | |
| accuracy | 22.035799542124934 | (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.0078125 | (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) | |
| accuracy | 0.26171875 | (*.f64 (*.f64 x y) #s(literal 3 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.203125 | (*.f64 x (*.f64 #s(literal 3 binary64) y)) | |
| accuracy | 31.26877343654196 | #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 31.65738620671344 | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) | |
| accuracy | 0 | (*.f64 x #s(literal 3 binary64)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.0859375 | (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
| 41.0ms | 256× | 0 | valid |
Compiled 164 to 25 computations (84.8% saved)
ival-mult: 14.0ms (55% of total)ival-div: 3.0ms (11.8% of total)ival-add: 3.0ms (11.8% of total)ival-sub: 2.0ms (7.9% of total)ival-neg: 2.0ms (7.9% 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 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) (patch (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 #s(literal 3 binary64) y)) (patch (*.f64 x (*.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (patch (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 3 binary64) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 z) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) (patch (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) (patch (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y)))) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) y))))) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) (taylor -inf y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x)) (taylor -inf y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x)) (taylor -inf y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y z)) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3)))))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1/3 (/ z (* x y)))) x) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z) (taylor inf z) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z) (taylor inf z) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z) (taylor inf z) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | 0 | (+ (* (* x (* 3 (* x y))) (/ (* 3 y) (+ (* 3 (* x y)) z))) (neg (/ (* z z) (+ (* 3 (* x y)) z)))) |
| 2.0ms | y | @ | 0 | (/ (* 3 y) (+ (* 3 (* x y)) z)) |
| 1.0ms | y | @ | 0 | (+ (* (* x (* 3 (* x y))) (/ (* 3 y) (+ (* 3 (* x y)) z))) (neg (/ (* z z) (+ (* 3 (* x y)) z)))) |
| 1.0ms | x | @ | inf | (+ (* (* x (* 3 (* x y))) (/ (* 3 y) (+ (* 3 (* x y)) z))) (neg (/ (* z z) (+ (* 3 (* x y)) z)))) |
| 1.0ms | y | @ | inf | (+ (* (* x (* 3 (* x y))) (/ (* 3 y) (+ (* 3 (* x y)) z))) (neg (/ (* z z) (+ (* 3 (* x y)) z)))) |
| 1× | egg-herbie |
| 6 752× | lower-fma.f64 |
| 6 752× | lower-fma.f32 |
| 4 708× | lower-*.f64 |
| 4 708× | lower-*.f32 |
| 2 256× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 569 | 3956 |
| 1 | 1769 | 3797 |
| 2 | 6027 | 3692 |
| 0 | 8152 | 3565 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z) |
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y))))) |
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y))))))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x))))) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z) |
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z) |
(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x))))) |
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x))))))) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) y))))) |
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow x 3))) (* 1/27 (/ (pow z 4) (pow x 3)))) (pow y 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) y))))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1)) |
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z))))) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) |
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
z |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))) |
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))) |
z |
(* -1 (* z (- (* 3 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1))) |
z |
(+ z (* -3 (* x y))) |
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y)))) |
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y)))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x) |
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x) |
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) |
z |
(+ z (* -3 (* x y))) |
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x)))) |
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x)))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y) |
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y) |
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) |
(* 3 (/ y z)) |
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z)))) |
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z)))) |
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z)))) |
(/ 1 x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y)))) |
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) y))))) |
(/ 1 x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x)) |
(* 3 (/ y z)) |
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z))) |
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3)))))) |
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3)))))))) |
(/ 1 x) |
(/ (+ 1 (* -1/3 (/ z (* x y)))) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x) |
(/ 1 x) |
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) |
(/ 1 x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(* 3 (/ y z)) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z) |
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z) |
(* 3 (/ y z)) |
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z)) |
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z)) |
| Outputs |
|---|
(* -1 z) |
(neg.f64 z) |
(- (* 3 (* x y)) z) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(- (* 3 (* x y)) z) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(- (* 3 (* x y)) z) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) |
(* -1 z) |
(neg.f64 z) |
(- (* 3 (* x y)) z) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(- (* 3 (* x y)) z) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(- (* 3 (* x y)) z) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64))) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64))) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64))) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 x y) z) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 x y) z) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 x y) z) z) (neg.f64 z)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(- (* 3 (* x y)) z) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(- (* 3 (* x y)) z) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(- (* 3 (* x y)) z) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
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(*.f64 y (fma.f64 y (*.f64 #s(literal -9 binary64) (/.f64 x (*.f64 z z))) (/.f64 #s(literal 3 binary64) z))) |
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z)))) |
(*.f64 y (fma.f64 y (fma.f64 y (/.f64 (*.f64 #s(literal 27 binary64) (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 #s(literal -9 binary64) (/.f64 x (*.f64 z z)))) (/.f64 #s(literal 3 binary64) z))) |
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z)))) |
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 (*.f64 #s(literal -81 binary64) (*.f64 x (*.f64 x x))) (/.f64 y (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 27 binary64) (*.f64 x x)) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal -9 binary64) (/.f64 x (*.f64 z z)))) (/.f64 #s(literal 3 binary64) z))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1 binary64) x)) |
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y)))) |
(fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 z z) (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1 binary64) x))) |
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) y))))) |
(fma.f64 #s(literal -1/27 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y y) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 z z) (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1 binary64) x)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x)) |
(fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 z z) (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/27 binary64)) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) y) (/.f64 (*.f64 z #s(literal -1/3 binary64)) (*.f64 x x))) y)) |
(* 3 (/ y z)) |
(/.f64 (*.f64 #s(literal 3 binary64) y) z) |
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z))) |
(*.f64 y (fma.f64 y (*.f64 #s(literal -9 binary64) (/.f64 x (*.f64 z z))) (/.f64 #s(literal 3 binary64) z))) |
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3)))))) |
(fma.f64 x (fma.f64 x (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 #s(literal -9 binary64) (*.f64 y y)) (*.f64 z z))) (/.f64 (*.f64 #s(literal 3 binary64) y) z)) |
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3)))))))) |
(fma.f64 y (fma.f64 y (*.f64 #s(literal -9 binary64) (/.f64 x (*.f64 z z))) (/.f64 #s(literal 3 binary64) z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -81 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 z (*.f64 z z)))))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/3 (/ z (* x y)))) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x y)) #s(literal 1 binary64)) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x) |
(/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x (*.f64 y y)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x y)) #s(literal 1 binary64))) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x (*.f64 y y)))) (fma.f64 #s(literal -1/27 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x (*.f64 x (*.f64 y (*.f64 y y)))))) (*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x y)))))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 x y)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/9 binary64)) (*.f64 x (*.f64 y y)))) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 z #s(literal -1/3 binary64)) y) (/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/27 binary64)) (*.f64 x (*.f64 y (*.f64 y y))))) x)) x)) (neg.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1 binary64) x)) |
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(fma.f64 z (fma.f64 z (/.f64 #s(literal 1/9 binary64) (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) x)) |
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(fma.f64 z (fma.f64 z (fma.f64 #s(literal -1/27 binary64) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/9 binary64) (*.f64 y (*.f64 y (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) x)) |
(* 3 (/ y z)) |
(/.f64 (*.f64 #s(literal 3 binary64) y) z) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z) |
(/.f64 (fma.f64 x (*.f64 #s(literal -9 binary64) (/.f64 (*.f64 y y) z)) (*.f64 #s(literal 3 binary64) y)) z) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z) |
(/.f64 (fma.f64 x (*.f64 #s(literal -9 binary64) (/.f64 (*.f64 y y) z)) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 z z)) (*.f64 #s(literal 3 binary64) y))) z) |
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (*.f64 z z))) #s(literal -81 binary64)) (fma.f64 x (*.f64 #s(literal -9 binary64) (/.f64 (*.f64 y y) z)) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 z z)) (*.f64 #s(literal 3 binary64) y)))) z) |
(* 3 (/ y z)) |
(/.f64 (*.f64 #s(literal 3 binary64) y) z) |
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z)) |
(/.f64 (fma.f64 x (/.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) z) (*.f64 y #s(literal -3 binary64))) (neg.f64 z)) |
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z)) |
(/.f64 (-.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 (fma.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 y (*.f64 y y)))) z) (*.f64 x (*.f64 #s(literal -9 binary64) (*.f64 y y)))) z)) (neg.f64 z)) |
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z)) |
(/.f64 (-.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 (fma.f64 x (*.f64 #s(literal -9 binary64) (*.f64 y y)) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) #s(literal 81 binary64)) (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x (*.f64 y (*.f64 y y)))))) (neg.f64 z))) z)) (neg.f64 z)) |
| 7 654× | lower-fma.f32 |
| 7 648× | lower-fma.f64 |
| 4 414× | lower-*.f32 |
| 4 398× | lower-*.f64 |
| 4 338× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 119 |
| 0 | 43 | 97 |
| 1 | 157 | 97 |
| 2 | 990 | 97 |
| 0 | 8713 | 97 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(*.f64 x #s(literal 3 binary64)) |
(neg.f64 z) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 x y) |
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) |
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) |
(/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) |
| Outputs |
|---|
(+.f64 (neg.f64 z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(+.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (neg.f64 z)) |
(+.f64 (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))) |
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 z z)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 z z)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)))))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z) |
(-.f64 (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (neg.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(-.f64 #s(literal 0 binary64) (-.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 z z)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 z z)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 z z (fma.f64 (*.f64 x x) (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z z (fma.f64 (*.f64 x x) (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 z z)) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (neg.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (neg.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))) (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (neg.f64 (*.f64 z z))) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (neg.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 #s(literal 3 binary64) y)))) |
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z))) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 y (/.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -3 binary64)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 #s(literal 3 binary64) y))))) |
(*.f64 (/.f64 y (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) #s(literal 3 binary64)) |
(*.f64 #s(literal -3 binary64) (/.f64 (neg.f64 y) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 (/.f64 y (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)))))) |
(*.f64 (/.f64 y (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (*.f64 z z))) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (fma.f64 z (-.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)))))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (*.f64 z z))) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)))))) |
(*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (*.f64 z z))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)))) |
(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (/.f64 y (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y))))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 (/.f64 y (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 3 binary64) (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y))))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y))))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 #s(literal 3 binary64) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 #s(literal 3 binary64) y)) #s(literal -1/2 binary64))) |
Compiled 72 101 to 1 853 computations (97.4% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 802 | 4 | 1 806 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 803 | 8 | 1 811 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.3% | (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) |
| ✓ | 99.9% | (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
| ✓ | 99.8% | (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) |
| ▶ | 88.8% | #s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))) |
| ▶ | 50.9% | #s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y))) |
| ▶ | 51.0% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
| ✓ | 51.0% | #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
| ✓ | 50.5% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
Compiled 92 to 58 computations (37% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 x y)) | |
| cost-diff | 0 | (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) | |
| cost-diff | 0 | (/.f64 z (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))) | |
| cost-diff | 0 | #s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))) | |
| cost-diff | 704 | (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 x y)) | |
| cost-diff | 0 | #s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y))) | |
| cost-diff | 0 | (*.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) | |
| cost-diff | 0 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
| 4 630× | lower-fma.f32 |
| 4 624× | lower-fma.f64 |
| 3 314× | lower-*.f32 |
| 3 300× | lower-*.f64 |
| 1 376× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 191 |
| 0 | 51 | 189 |
| 1 | 97 | 189 |
| 2 | 179 | 189 |
| 3 | 409 | 187 |
| 4 | 861 | 187 |
| 5 | 1672 | 187 |
| 6 | 3738 | 187 |
| 7 | 5823 | 187 |
| 8 | 7128 | 187 |
| 9 | 7582 | 187 |
| 10 | 7658 | 187 |
| 11 | 7790 | 187 |
| 0 | 8135 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
y |
#s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y))) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
#s(literal 3 binary64) |
(*.f64 x y) |
x |
y |
#s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))) |
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) |
x |
(fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))) |
#s(literal 3 binary64) |
y |
(/.f64 z (neg.f64 x)) |
z |
(neg.f64 x) |
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) |
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) |
x |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
#s(literal 3 binary64) |
(*.f64 x y) |
y |
#s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))) |
(/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) |
(*.f64 z z) |
z |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z) |
| Outputs |
|---|
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
y |
#s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y))) |
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
#s(literal 3 binary64) |
(*.f64 x y) |
x |
y |
#s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))) |
#s(approx (- (* (* x 3) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) (neg.f64 z))) |
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) |
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (neg.f64 z)) |
x |
(fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))) |
(-.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 z x)) |
#s(literal 3 binary64) |
y |
(/.f64 z (neg.f64 x)) |
z |
(neg.f64 x) |
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) |
(-.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) |
(*.f64 y (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
x |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
#s(literal 3 binary64) |
(*.f64 x y) |
y |
#s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))) |
(neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) |
(/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) |
(*.f64 z z) |
z |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z) |
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.26171875 | (*.f64 #s(literal 3 binary64) (*.f64 x y)) | |
| accuracy | 8.108016427058747 | (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) | |
| accuracy | 22.035799542124934 | (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) | |
| accuracy | 31.441023910191554 | #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | #s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))) | |
| accuracy | 0.01953125 | (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))) | |
| accuracy | 7.1645924297928785 | (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.26171875 | (*.f64 #s(literal 3 binary64) (*.f64 x y)) | |
| accuracy | 31.26877343654196 | #s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y))) | |
| accuracy | 0 | (*.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.17578125 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) | |
| accuracy | 31.26877343654196 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
| 99.0ms | 232× | 0 | valid |
| 4.0ms | 10× | 2 | valid |
| 4.0ms | 8× | 3 | valid |
| 2.0ms | 6× | 1 | valid |
Compiled 172 to 28 computations (83.7% saved)
ival-mult: 47.0ms (51.5% of total)ival-div: 33.0ms (36.1% of total)ival-add: 4.0ms (4.4% of total)ival-sub: 3.0ms (3.3% of total)adjust: 2.0ms (2.2% of total)ival-neg: 2.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y))) (patch #s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 3 binary64) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) (patch (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))) (patch #s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))) (patch (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 z (neg.f64 x)) (patch (/.f64 z (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (patch (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 z) (taylor 0 x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
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#s(alt (+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* x (+ (* 3 y) (/ z (neg x)))) |
| 0.0ms | z | @ | 0 | (* x (+ (* 3 y) (/ z (neg x)))) |
| 0.0ms | y | @ | 0 | (* x (+ (* 3 y) (/ z (neg x)))) |
| 0.0ms | x | @ | inf | (* x (+ (* 3 y) (/ z (neg x)))) |
| 0.0ms | z | @ | inf | (* x (+ (* 3 y) (/ z (neg x)))) |
| 1× | egg-herbie |
| 6 950× | lower-fma.f64 |
| 6 950× | lower-fma.f32 |
| 4 878× | lower-*.f64 |
| 4 878× | lower-*.f32 |
| 2 136× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 583 | 4179 |
| 1 | 1815 | 4002 |
| 2 | 6180 | 3895 |
| 0 | 8153 | 3764 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 z) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 z) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (/ z x)) |
(+ (* -1 (/ z x)) (* 3 y)) |
(+ (* -1 (/ z x)) (* 3 y)) |
(+ (* -1 (/ z x)) (* 3 y)) |
(* 3 y) |
(* y (+ 3 (* -1 (/ z (* x y))))) |
(* y (+ 3 (* -1 (/ z (* x y))))) |
(* y (+ 3 (* -1 (/ z (* x y))))) |
(* 3 y) |
(* -1 (* y (- (/ z (* x y)) 3))) |
(* -1 (* y (- (/ z (* x y)) 3))) |
(* -1 (* y (- (/ z (* x y)) 3))) |
(* 3 y) |
(+ (* -1 (/ z x)) (* 3 y)) |
(+ (* -1 (/ z x)) (* 3 y)) |
(+ (* -1 (/ z x)) (* 3 y)) |
(* -1 (/ z x)) |
(* z (- (* 3 (/ y z)) (/ 1 x))) |
(* z (- (* 3 (/ y z)) (/ 1 x))) |
(* z (- (* 3 (/ y z)) (/ 1 x))) |
(* -1 (/ z x)) |
(* -1 (* z (+ (* -3 (/ y z)) (/ 1 x)))) |
(* -1 (* z (+ (* -3 (/ y z)) (/ 1 x)))) |
(* -1 (* z (+ (* -3 (/ y z)) (/ 1 x)))) |
(* -1 (/ z x)) |
(/ (+ (* -1 z) (* 3 (* x y))) x) |
(/ (+ (* -1 z) (* 3 (* x y))) x) |
(/ (+ (* -1 z) (* 3 (* x y))) x) |
(* 3 y) |
(+ (* -1 (/ z x)) (* 3 y)) |
(+ (* -1 (/ z x)) (* 3 y)) |
(+ (* -1 (/ z x)) (* 3 y)) |
(* 3 y) |
(+ (* -1 (/ z x)) (* 3 y)) |
(+ (* -1 (/ z x)) (* 3 y)) |
(+ (* -1 (/ z x)) (* 3 y)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 (/ z x)) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z) |
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y))))) |
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y))))))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x))))) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z) |
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z) |
(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x))))) |
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x))))))) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) y))))) |
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow x 3))) (* 1/27 (/ (pow z 4) (pow x 3)))) (pow y 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) y))))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1)) |
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z))))) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 3 (/ y z)) |
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z)))) |
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z)))) |
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z)))) |
(/ 1 x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y)))) |
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) y))))) |
(/ 1 x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x)) |
(* 3 (/ y z)) |
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z))) |
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3)))))) |
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3)))))))) |
(/ 1 x) |
(/ (+ 1 (* -1/3 (/ z (* x y)))) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x) |
(/ 1 x) |
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) |
(/ 1 x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(* 3 (/ y z)) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z) |
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z) |
(* 3 (/ y z)) |
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z)) |
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) |
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
z |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))) |
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))) |
z |
(* -1 (* z (- (* 3 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1))) |
z |
(+ z (* -3 (* x y))) |
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y)))) |
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y)))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x) |
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x) |
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) |
z |
(+ z (* -3 (* x y))) |
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x)))) |
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x)))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y) |
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y) |
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) |
| Outputs |
|---|
(* -1 z) |
(neg.f64 z) |
(- (* 3 (* x y)) z) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(- (* 3 (* x y)) z) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(- (* 3 (* x y)) z) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x)) |
(* -1 z) |
(neg.f64 z) |
(- (* 3 (* x y)) z) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(- (* 3 (* x y)) z) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(- (* 3 (* x y)) z) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(+ (* -1 z) (* 3 (* x y))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(+ (* -1 z) (* 3 (* x y))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64))) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64))) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64))) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 x y) z) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 x y) z) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 x y) z) z) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* -1 z) |
(neg.f64 z) |
(- (* 3 (* x y)) z) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(- (* 3 (* x y)) z) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(- (* 3 (* x y)) z) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x)) |
(* -1 z) |
(neg.f64 z) |
(- (* 3 (* x y)) z) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(- (* 3 (* x y)) z) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(- (* 3 (* x y)) z) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(+ (* -1 z) (* 3 (* x y))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(+ (* -1 z) (* 3 (* x y))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64))) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64))) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64))) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 x y) z) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 x y) z) z) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 x y) z) z) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* 3 (* x y))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(+ (* -1 z) (* 3 (* x y))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(+ (* -1 z) (* 3 (* x y))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* 3 (* x y))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(+ (* -1 z) (* 3 (* x y))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(+ (* -1 z) (* 3 (* x y))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
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(/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) x)) y) |
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y) |
(/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 x x))) (fma.f64 #s(literal 1/27 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y (*.f64 x (*.f64 y (*.f64 x x))))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) x))) y) |
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y) |
(/.f64 (fma.f64 #s(literal -1/81 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 x x))) (fma.f64 #s(literal 1/27 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y (*.f64 x (*.f64 y (*.f64 x x))))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) x)))) y) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)) |
(/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 (*.f64 z z) #s(literal -1/3 binary64)) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1/3 binary64)) x) (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/27 binary64)) (*.f64 y (*.f64 x (*.f64 y (*.f64 x x))))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z z) x) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/27 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) #s(literal 1/81 binary64)) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) y) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/9 binary64)) (*.f64 x x))) y)) y)) |
| 13 980× | lower-fma.f32 |
| 13 974× | lower-fma.f64 |
| 6 612× | lower-*.f32 |
| 6 598× | lower-*.f64 |
| 3 676× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 145 |
| 0 | 51 | 145 |
| 1 | 184 | 145 |
| 2 | 1106 | 145 |
| 0 | 9375 | 145 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(*.f64 x #s(literal 3 binary64)) |
#s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y))) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) |
#s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))) |
(fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))) |
(/.f64 z (neg.f64 x)) |
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) |
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) |
(neg.f64 x) |
#s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) |
| Outputs |
|---|
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(neg.f64 (*.f64 x (*.f64 y #s(literal -3 binary64)))) |
(/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(*.f64 y (*.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1 binary64)) (neg.f64 x)) |
(neg.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) |
(neg.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x))) |
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -3 binary64) (neg.f64 x)) |
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(neg.f64 (*.f64 x (*.f64 y #s(literal -3 binary64)))) |
(/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(*.f64 y (*.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1 binary64)) (neg.f64 x)) |
(neg.f64 (*.f64 (neg.f64 x) y)) |
(neg.f64 (*.f64 y (neg.f64 x))) |
(/.f64 y (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 (*.f64 x y) #s(literal 1 binary64)) |
(*.f64 (*.f64 y #s(literal 1 binary64)) x) |
(*.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 x)) |
(+.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (*.f64 x (/.f64 z (neg.f64 x)))) |
(+.f64 (*.f64 x (/.f64 z (neg.f64 x))) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (*.f64 x (/.f64 z x))) |
(-.f64 (/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z x)))) (/.f64 (*.f64 (/.f64 (*.f64 z z) (*.f64 x x)) (*.f64 x x)) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z x))))) |
(fma.f64 x (/.f64 z (neg.f64 x)) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (*.f64 x (/.f64 z (neg.f64 x)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (*.f64 x (/.f64 z (neg.f64 x)))) |
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (*.f64 x (/.f64 z (neg.f64 x)))) |
(fma.f64 z (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (*.f64 x (/.f64 z (neg.f64 x)))) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (*.f64 x (/.f64 z (neg.f64 x)))) |
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64) (*.f64 x (/.f64 z (neg.f64 x)))) |
(fma.f64 (neg.f64 x) (/.f64 z x) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (/.f64 z (neg.f64 x)) x (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (*.f64 x (/.f64 z (neg.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z (neg.f64 x))) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z x)) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (/.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (/.f64 z x) (neg.f64 x) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (*.f64 x (/.f64 z (neg.f64 x))) #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (*.f64 x (neg.f64 z)) (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (*.f64 z x) (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (*.f64 (neg.f64 z) x) (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (*.f64 z #s(literal -1 binary64)) (/.f64 x x) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 x (neg.f64 x)) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (/.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (/.f64 x x) (*.f64 z #s(literal -1 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1 binary64)) (neg.f64 x) (*.f64 x (/.f64 z (neg.f64 x)))) |
(fma.f64 (*.f64 x (/.f64 #s(literal -1 binary64) x)) z (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (*.f64 (/.f64 z (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (*.f64 (*.f64 x z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))) (neg.f64 x))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))) |
(/.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) y) (*.f64 (*.f64 x (/.f64 z (neg.f64 x))) (-.f64 (*.f64 x (/.f64 z (neg.f64 x))) (*.f64 x (*.f64 #s(literal 3 binary64) y))))) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z x))) (*.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z (neg.f64 x)) (+.f64 (/.f64 z (neg.f64 x)) (*.f64 y #s(literal -3 binary64))) (*.f64 y (*.f64 #s(literal 9 binary64) y))) (*.f64 x (-.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 z x)) (*.f64 x (-.f64 (*.f64 y (*.f64 #s(literal 9 binary64) y)) (/.f64 (*.f64 z z) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z (neg.f64 x)) (+.f64 (/.f64 z (neg.f64 x)) (*.f64 y #s(literal -3 binary64))) (*.f64 y (*.f64 #s(literal 9 binary64) y))) (*.f64 (-.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 z x)) (*.f64 (-.f64 (*.f64 y (*.f64 #s(literal 9 binary64) y)) (/.f64 (*.f64 z z) (*.f64 x x))) x))) |
(/.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) y) (*.f64 (*.f64 x (/.f64 z (neg.f64 x))) (-.f64 (*.f64 x (/.f64 z (neg.f64 x))) (*.f64 x (*.f64 #s(literal 3 binary64) y)))))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z x)))) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z x)))) |
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 z (neg.f64 x)) (+.f64 (/.f64 z (neg.f64 x)) (*.f64 y #s(literal -3 binary64))) (*.f64 y (*.f64 #s(literal 9 binary64) y)))) |
(/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 #s(literal 9 binary64) y)) (/.f64 (*.f64 z z) (*.f64 x x)))) (fma.f64 #s(literal 3 binary64) y (/.f64 z x))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))) x) (fma.f64 (/.f64 z (neg.f64 x)) (+.f64 (/.f64 z (neg.f64 x)) (*.f64 y #s(literal -3 binary64))) (*.f64 y (*.f64 #s(literal 9 binary64) y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 y (*.f64 #s(literal 9 binary64) y)) (/.f64 (*.f64 z z) (*.f64 x x))) x) (fma.f64 #s(literal 3 binary64) y (/.f64 z x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) y) (*.f64 (*.f64 x (/.f64 z (neg.f64 x))) (-.f64 (*.f64 x (/.f64 z (neg.f64 x))) (*.f64 x (*.f64 #s(literal 3 binary64) y))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z x))))) (neg.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z x))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (neg.f64 (fma.f64 (/.f64 z (neg.f64 x)) (+.f64 (/.f64 z (neg.f64 x)) (*.f64 y #s(literal -3 binary64))) (*.f64 y (*.f64 #s(literal 9 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 #s(literal 9 binary64) y)) (/.f64 (*.f64 z z) (*.f64 x x))))) (fma.f64 y #s(literal -3 binary64) (/.f64 z (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))) x)) (neg.f64 (fma.f64 (/.f64 z (neg.f64 x)) (+.f64 (/.f64 z (neg.f64 x)) (*.f64 y #s(literal -3 binary64))) (*.f64 y (*.f64 #s(literal 9 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y (*.f64 #s(literal 9 binary64) y)) (/.f64 (*.f64 z z) (*.f64 x x))) x)) (fma.f64 y #s(literal -3 binary64) (/.f64 z (neg.f64 x)))) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 (*.f64 z z) (*.f64 x x)) (*.f64 x x) (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)) (*.f64 (*.f64 x (/.f64 z (neg.f64 x))) (*.f64 x (*.f64 #s(literal 3 binary64) y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z z) (*.f64 x x)) (*.f64 x x)) (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y))) (-.f64 (*.f64 x (/.f64 z (neg.f64 x))) (*.f64 x (*.f64 #s(literal 3 binary64) y)))) |
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))) x) |
(*.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) y) (*.f64 (*.f64 x (/.f64 z (neg.f64 x))) (-.f64 (*.f64 x (/.f64 z (neg.f64 x))) (*.f64 x (*.f64 #s(literal 3 binary64) y))))))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z x))))) |
(*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (neg.f64 x)) (+.f64 (/.f64 z (neg.f64 x)) (*.f64 y #s(literal -3 binary64))) (*.f64 y (*.f64 #s(literal 9 binary64) y))))) |
(*.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 #s(literal 9 binary64) y)) (/.f64 (*.f64 z z) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 z x)))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))) x) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (neg.f64 x)) (+.f64 (/.f64 z (neg.f64 x)) (*.f64 y #s(literal -3 binary64))) (*.f64 y (*.f64 #s(literal 9 binary64) y))))) |
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(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))) (/.f64 (*.f64 z z) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z)))) |
(/.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)) (*.f64 z z))) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y #s(literal -3 binary64)) z))) |
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) #s(literal 0 binary64)))) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 z z)) #s(literal -1 binary64)) |
(*.f64 z (/.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z z) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z)))) |
(*.f64 (*.f64 z (neg.f64 z)) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 (neg.f64 z) (/.f64 z (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (*.f64 z z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) z) |
(*.f64 (*.f64 z #s(literal -1 binary64)) (/.f64 z (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z)))) |
(*.f64 (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))))) (neg.f64 (fma.f64 z (fma.f64 x (*.f64 y #s(literal -3 binary64)) z) (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y))))) |
(*.f64 (/.f64 (*.f64 z z) (fma.f64 z z (*.f64 #s(literal -9 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))) (fma.f64 x (*.f64 y #s(literal -3 binary64)) z)) |
(*.f64 (/.f64 (*.f64 z z) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))) (fma.f64 z (fma.f64 x (*.f64 y #s(literal -3 binary64)) z) (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)))) |
(*.f64 (/.f64 (*.f64 z z) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (*.f64 y #s(literal -3 binary64)) z) (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)))))) |
(*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)) (*.f64 z z))) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)) |
(*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (*.f64 y #s(literal -3 binary64)) z) (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)))))) |
(*.f64 (/.f64 z (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)) (*.f64 z z))) (/.f64 z (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y #s(literal -3 binary64)) z)))) |
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 (/.f64 z (/.f64 (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)) (*.f64 z z)) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z (neg.f64 z)))))) (/.f64 z (fma.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y) (*.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))) |
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 (/.f64 (*.f64 z z) (/.f64 (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)) (*.f64 z z)) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z (neg.f64 z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y) (*.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))) |
(*.f64 (/.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 z z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 z z)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))))) (fma.f64 z (fma.f64 x (*.f64 y #s(literal -3 binary64)) z) (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)))) |
(*.f64 (neg.f64 (/.f64 (*.f64 z z) (fma.f64 z z (*.f64 #s(literal -9 binary64) (*.f64 (*.f64 x y) (*.f64 x y)))))) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)) |
(*.f64 (*.f64 z (/.f64 z (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))))) (fma.f64 z (fma.f64 x (*.f64 y #s(literal -3 binary64)) z) (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)))) |
(*.f64 (*.f64 z (/.f64 z (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)) (*.f64 z z)))) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 z))) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))))) (fma.f64 z (fma.f64 x (*.f64 y #s(literal -3 binary64)) z) (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)) (*.f64 z z)))) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) z) z) |
(*.f64 (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)) (*.f64 z z))) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z (neg.f64 z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y) (*.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))) |
(*.f64 (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)) (*.f64 z z))) (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) |
(*.f64 (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)) (*.f64 z z))) (/.f64 (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)) (*.f64 z z)) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))))) (fma.f64 z (fma.f64 x (*.f64 y #s(literal -3 binary64)) z) (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)))) |
(*.f64 (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)) (*.f64 z z))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)) |
Compiled 22 434 to 1 590 computations (92.9% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 934 | 1 | 935 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 4 | 4 |
| Total | 935 | 8 | 943 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 37.8% | (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) |
| ✓ | 99.9% | (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
| ✓ | 99.8% | (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) |
| ✓ | 88.8% | #s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))) |
| ✓ | 50.9% | #s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y))) |
| ✓ | 51.0% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
| ✓ | 51.0% | #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
| ✓ | 50.5% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
Compiled 92 to 59 computations (35.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 x y)) | |
| cost-diff | 0 | (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) |
| 3 808× | lower-fma.f32 |
| 3 806× | lower-fma.f64 |
| 3 360× | lower-*.f32 |
| 3 350× | lower-*.f64 |
| 1 768× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 144 |
| 0 | 34 | 144 |
| 1 | 67 | 144 |
| 2 | 144 | 144 |
| 3 | 316 | 144 |
| 4 | 654 | 144 |
| 5 | 1055 | 144 |
| 6 | 1480 | 144 |
| 7 | 2117 | 144 |
| 8 | 3343 | 144 |
| 9 | 4026 | 144 |
| 10 | 4316 | 144 |
| 11 | 4589 | 144 |
| 12 | 6004 | 144 |
| 13 | 6601 | 144 |
| 14 | 6858 | 144 |
| 15 | 7093 | 144 |
| 16 | 7107 | 144 |
| 17 | 7113 | 144 |
| 18 | 7119 | 144 |
| 19 | 7123 | 144 |
| 20 | 7123 | 144 |
| 21 | 7123 | 144 |
| 22 | 7647 | 144 |
| 0 | 8283 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) |
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) |
x |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
#s(literal 3 binary64) |
(*.f64 x y) |
y |
#s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)))) |
#s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(*.f64 (*.f64 z z) #s(literal 1/3 binary64)) |
(*.f64 z z) |
z |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) |
(-.f64 (*.f64 (*.f64 x y) (*.f64 #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 3 binary64)))) #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) (*.f64 x y)))) |
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) |
x |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
#s(literal 3 binary64) |
(*.f64 x y) |
y |
#s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)))) |
(neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) (*.f64 x y)))) |
#s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))) |
#s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) (*.f64 x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) (*.f64 x y)) |
(*.f64 (*.f64 z z) #s(literal 1/3 binary64)) |
(*.f64 z (*.f64 z #s(literal 1/3 binary64))) |
(*.f64 z z) |
z |
#s(literal 1/3 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 8.108016427058747 | (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) | |
| accuracy | 12.908008738166881 | (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) | |
| accuracy | 31.441023910191554 | #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 31.441614922200092 | #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))) |
| 49.0ms | 256× | 0 | valid |
Compiled 109 to 22 computations (79.8% saved)
ival-add: 13.0ms (34.4% of total)ival-mult: 13.0ms (34.4% of total)ival-div: 7.0ms (18.5% of total)const: 4.0ms (10.6% of total)ival-neg: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (patch (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 3 binary64) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))) (patch #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z))) (taylor 0 x) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3)))))) (taylor 0 x) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3)))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1/3 (/ z (* x y)))) x) (taylor inf x) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x) (taylor inf x) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x) (taylor inf x) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y z)) (taylor inf z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z) (taylor inf z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z) (taylor inf z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z) (taylor inf z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y z)) (taylor -inf z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z)) (taylor -inf z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z)) (taylor -inf z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z)) (taylor -inf z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf z) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf z) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf z) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf z) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf z) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/ (* (* z z) 1/3) (* x y)) |
| 1.0ms | z | @ | 0 | (/ (* (* z z) 1/3) (* x y)) |
| 1.0ms | z | @ | inf | (/ (* (* z z) 1/3) (* x y)) |
| 1.0ms | y | @ | 0 | (/ (* (* z z) 1/3) (* x y)) |
| 1.0ms | x | @ | inf | (/ (* (* z z) 1/3) (* x y)) |
| 1× | egg-herbie |
| 6 752× | lower-fma.f64 |
| 6 752× | lower-fma.f32 |
| 4 708× | lower-*.f64 |
| 4 708× | lower-*.f32 |
| 2 256× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 569 | 2804 |
| 1 | 1769 | 2693 |
| 2 | 6026 | 2588 |
| 0 | 8143 | 2485 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z) |
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y))))) |
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y))))))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x))))) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z) |
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z) |
(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x))))) |
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x))))))) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) y))))) |
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow x 3))) (* 1/27 (/ (pow z 4) (pow x 3)))) (pow y 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) y))))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1)) |
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z))))) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) |
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
z |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))) |
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))) |
z |
(* -1 (* z (- (* 3 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1))) |
z |
(+ z (* -3 (* x y))) |
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y)))) |
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y)))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x) |
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x) |
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) |
z |
(+ z (* -3 (* x y))) |
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x)))) |
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x)))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y) |
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y) |
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) |
(* 3 (/ y z)) |
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z)))) |
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z)))) |
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z)))) |
(/ 1 x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y)))) |
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) y))))) |
(/ 1 x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x)) |
(* 3 (/ y z)) |
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z))) |
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3)))))) |
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3)))))))) |
(/ 1 x) |
(/ (+ 1 (* -1/3 (/ z (* x y)))) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x) |
(/ 1 x) |
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) |
(/ 1 x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(* 3 (/ y z)) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z) |
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z) |
(* 3 (/ y z)) |
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z)) |
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* 1/3 (/ (pow z 2) (* x y))) |
| Outputs |
|---|
(* -1 z) |
(neg.f64 z) |
(- (* 3 (* x y)) z) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) |
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y))))) |
(*.f64 x (-.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 0 binary64)) (/.f64 z x))) |
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y))))))) |
(*.f64 x (-.f64 (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal 0 binary64))) (/.f64 z x))) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x))))) |
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x))))) |
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) |
(* -1 z) |
(neg.f64 z) |
(- (* 3 (* x y)) z) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x))))) |
(*.f64 y (-.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) (/.f64 z y))) |
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x))))))) |
(*.f64 y (-.f64 (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))) (/.f64 z y))) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) y))))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow x 3))) (* 1/27 (/ (pow z 4) (pow x 3)))) (pow y 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) y))))) |
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y)))) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64))) |
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1)) |
(*.f64 z (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal -9 binary64) (*.f64 y y)) (*.f64 z z)) (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 z z)) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64))))) |
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1)) |
(*.f64 z (fma.f64 #s(literal -27 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (*.f64 z (*.f64 z z))) (+.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) (fma.f64 (*.f64 x (*.f64 x (*.f64 y y))) (/.f64 #s(literal 9 binary64) (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 27 binary64) (*.f64 z (*.f64 z z)))))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal -9 binary64) (*.f64 y y)) (*.f64 z z)) #s(literal -1 binary64))))) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(fma.f64 (*.f64 z (/.f64 (*.f64 x y) z)) #s(literal 3 binary64) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z))))) |
(fma.f64 (*.f64 z (/.f64 (*.f64 x y) z)) #s(literal 3 binary64) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z))))) |
(fma.f64 (*.f64 z (/.f64 (*.f64 x y) z)) #s(literal 3 binary64) (neg.f64 z)) |
(* 3 (* (pow x 2) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x y))) |
(* 3 (* (pow x 2) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x y))) |
(* 3 (* (pow x 2) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x y))) |
(* 3 (* (pow x 2) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x y))) |
(* 3 (* (pow x 2) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x y))) |
(* 3 (* (pow x 2) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x y))) |
(* 3 (* (pow x 2) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x y))) |
(* 3 (* (pow x 2) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x y))) |
(* 3 (* (pow x 2) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x y))) |
(* 3 (* (pow x 2) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x y))) |
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(fma.f64 x (fma.f64 x (fma.f64 #s(literal 27 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -81 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -9 binary64) (*.f64 y y)) (*.f64 z z))) (/.f64 (*.f64 #s(literal 3 binary64) y) z)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/3 (/ z (* x y)))) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x y)) #s(literal 1 binary64)) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x) |
(/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x (*.f64 y y)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x y)) #s(literal 1 binary64))) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x) |
(/.f64 (+.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x (*.f64 y y)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x y)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/27 binary64)) (*.f64 y (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 x y)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 z z) (*.f64 x (*.f64 y y))) (/.f64 (*.f64 z #s(literal -1/3 binary64)) y)) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 z #s(literal -1/3 binary64)) y) (/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/27 binary64)) (*.f64 x (*.f64 y (*.f64 y y))))) x)) x)) (neg.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1 binary64) x)) |
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(fma.f64 z (fma.f64 z (/.f64 #s(literal 1/9 binary64) (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) x)) |
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(fma.f64 z (fma.f64 z (fma.f64 #s(literal -1/27 binary64) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/9 binary64) (*.f64 y (*.f64 y (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) x)) |
(* 3 (/ y z)) |
(/.f64 (*.f64 #s(literal 3 binary64) y) z) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z) |
(/.f64 (fma.f64 x (*.f64 #s(literal -9 binary64) (/.f64 (*.f64 y y) z)) (*.f64 #s(literal 3 binary64) y)) z) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z) |
(/.f64 (fma.f64 x (*.f64 #s(literal -9 binary64) (/.f64 (*.f64 y y) z)) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z z)) (*.f64 #s(literal 3 binary64) y))) z) |
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z) |
(/.f64 (fma.f64 #s(literal -81 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (*.f64 z (*.f64 z z))) (fma.f64 x (*.f64 #s(literal -9 binary64) (/.f64 (*.f64 y y) z)) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z z)) (*.f64 #s(literal 3 binary64) y)))) z) |
(* 3 (/ y z)) |
(/.f64 (*.f64 #s(literal 3 binary64) y) z) |
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z)) |
(/.f64 (fma.f64 x (/.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) z) (*.f64 y #s(literal -3 binary64))) (neg.f64 z)) |
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z)) |
(/.f64 (-.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) z) #s(literal 27 binary64)) (*.f64 x (*.f64 #s(literal -9 binary64) (*.f64 y y)))) z)) (neg.f64 z)) |
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z)) |
(/.f64 (-.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 (-.f64 (*.f64 x (*.f64 #s(literal -9 binary64) (*.f64 y y))) (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) #s(literal 81 binary64)))) z)) z)) (neg.f64 z)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
| 8 430× | lower-fma.f32 |
| 8 428× | lower-fma.f64 |
| 6 118× | lower-*.f32 |
| 6 108× | lower-*.f64 |
| 3 266× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 105 |
| 0 | 34 | 105 |
| 1 | 118 | 105 |
| 2 | 747 | 105 |
| 3 | 7341 | 105 |
| 0 | 8179 | 101 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) |
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) |
(*.f64 #s(literal 3 binary64) (*.f64 x y)) |
(*.f64 x y) |
#s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))) |
#s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) |
| Outputs |
|---|
(+.f64 (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))))) (*.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)))) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))))) |
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)))) #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))))) |
(+.f64 (/.f64 (*.f64 #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 (*.f64 x y) #s(literal 9 binary64))) (*.f64 x (*.f64 x y))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x))) #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))))) (neg.f64 (/.f64 (*.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))) #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x))) #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))))))) |
(-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)))) #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))) (*.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (/.f64 (*.f64 #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 (*.f64 x y) #s(literal 9 binary64))) (*.f64 x (*.f64 x y))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x))) #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))))) (/.f64 (*.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))) #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x))) #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 (*.f64 x y) #s(literal 9 binary64))) (*.f64 x (*.f64 x y)))) (*.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x))) #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))))))) (/.f64 (*.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))) (*.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))) #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))))) (fma.f64 #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 (*.f64 x y) #s(literal 9 binary64))) (*.f64 x (*.f64 x y)))) (*.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x))) #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))))))))) |
(-.f64 (/.f64 (*.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))) #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))))) (fma.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) (*.f64 x #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x))) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))))))) (/.f64 (*.f64 #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 (*.f64 x y) #s(literal 9 binary64))) (*.f64 x (*.f64 x y))))) (fma.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) (*.f64 x #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x))) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))))))) |
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(+.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))))) |
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(fma.f64 #s(literal 1 binary64) #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))) #s(literal 0 binary64)) |
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#s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))) |
(*.f64 #s(literal 1 binary64) #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))))) |
(*.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))))) |
#s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y (*.f64 z z))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 x y))) |
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(neg.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 x y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 x y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64))))) |
(/.f64 (*.f64 z z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 y (*.f64 z z)))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 x (*.f64 z z)) y)) |
(/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) (*.f64 x y)) |
(/.f64 (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal -1/3 binary64))))) |
(/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 x (neg.f64 y))) |
(/.f64 (/.f64 (*.f64 z z) x) (*.f64 #s(literal 3 binary64) y)) |
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(/.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) x) (neg.f64 y)) |
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(/.f64 (/.f64 (*.f64 z z) y) (*.f64 x #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 y (*.f64 z z))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 z (*.f64 z #s(literal 1/3 binary64))))) |
(/.f64 (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) y) x) |
(/.f64 (*.f64 (neg.f64 (*.f64 z z)) #s(literal 1 binary64)) (*.f64 (*.f64 x y) #s(literal -3 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z z))) (*.f64 (*.f64 x y) #s(literal -3 binary64))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) y)) x) |
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(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)) (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (neg.f64 (*.f64 z z))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 z x) (*.f64 z #s(literal 1/3 binary64))) y) |
(/.f64 (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/3 binary64))) x) |
(/.f64 (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/3 binary64)) x) |
(/.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1/3 binary64) y)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (*.f64 z #s(literal 1/3 binary64)))) x) |
(/.f64 (*.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) y) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) #s(literal -1 binary64)) (*.f64 x y)) |
(pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y (*.f64 z z)))) #s(literal -1 binary64)) |
(*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))) |
(*.f64 z (*.f64 (*.f64 z #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))) |
(*.f64 z (*.f64 (/.f64 (*.f64 z #s(literal 1/3 binary64)) x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 1 binary64) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 z z) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) |
(*.f64 (*.f64 z z) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) y))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 z z) (*.f64 x y))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 z z) x))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 z z) x) (/.f64 #s(literal 1 binary64) y))) |
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(*.f64 (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 x y))) |
(*.f64 (neg.f64 (*.f64 z z)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))) |
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (neg.f64 y)))) |
(*.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x y))) |
(*.f64 (/.f64 (*.f64 z z) x) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (/.f64 (*.f64 z z) x) (/.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (*.f64 z z) x)) |
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 (/.f64 #s(literal 3 binary64) (*.f64 z z)) #s(literal -1 binary64))) |
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(*.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(*.f64 (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) (*.f64 z z)) |
(*.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) x) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 (*.f64 z z)) (*.f64 x y))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z z) (*.f64 x (neg.f64 y)))) |
(*.f64 (neg.f64 z) (*.f64 (*.f64 z #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))) |
(*.f64 (neg.f64 z) (/.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 x (neg.f64 y)))) |
(*.f64 (/.f64 z x) (/.f64 (*.f64 z #s(literal 1/3 binary64)) y)) |
(*.f64 (/.f64 (*.f64 z #s(literal 1/3 binary64)) y) (/.f64 z x)) |
(*.f64 (/.f64 z y) (/.f64 (*.f64 z #s(literal 1/3 binary64)) x)) |
(*.f64 (/.f64 (*.f64 z #s(literal 1/3 binary64)) x) (/.f64 z y)) |
(*.f64 (/.f64 (*.f64 z z) y) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 (*.f64 z z) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 z (*.f64 z #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) x)) |
(*.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 x y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) (neg.f64 y))) |
(*.f64 (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))) z) |
(*.f64 (/.f64 (*.f64 z z) (*.f64 x y)) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 (/.f64 x z) #s(literal -1 binary64)) (pow.f64 (/.f64 y (*.f64 z #s(literal 1/3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1 binary64)) (pow.f64 (/.f64 x (*.f64 z #s(literal 1/3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 z z) (neg.f64 x)) (/.f64 #s(literal -1/3 binary64) y)) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 z #s(literal -1/3 binary64)) (*.f64 x y))) |
(*.f64 (/.f64 z (neg.f64 x)) (/.f64 (*.f64 z #s(literal -1/3 binary64)) y)) |
(*.f64 (/.f64 z (neg.f64 y)) (/.f64 (*.f64 z #s(literal -1/3 binary64)) x)) |
(*.f64 (/.f64 (*.f64 z z) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x y))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 z z) (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 z z) (neg.f64 y)) (/.f64 #s(literal -1/3 binary64) x)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 z z) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 x)) (/.f64 (neg.f64 (*.f64 z z)) y)) |
(*.f64 (/.f64 (neg.f64 (*.f64 z z)) y) (/.f64 #s(literal 1/3 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 y)) (/.f64 (neg.f64 (*.f64 z z)) x)) |
(*.f64 (/.f64 (neg.f64 (*.f64 z z)) x) (/.f64 #s(literal 1/3 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) x)) |
(*.f64 (/.f64 (neg.f64 (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) |
(*.f64 (/.f64 (neg.f64 z) x) (/.f64 (*.f64 z #s(literal 1/3 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 z) y) (/.f64 (*.f64 z #s(literal 1/3 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y (*.f64 z z)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y (*.f64 z z)))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z #s(literal -1/3 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 z x)) (/.f64 (*.f64 z #s(literal 1/3 binary64)) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 (*.f64 z #s(literal 1/3 binary64)) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) z) (/.f64 z x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) z) (*.f64 z #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 z #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
Compiled 20 725 to 1 415 computations (93.2% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 555 | 0 | 555 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 555 | 8 | 563 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 37.8% | (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) |
| ✓ | 99.9% | (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
| ✓ | 99.8% | (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) |
| ✓ | 88.8% | #s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))) |
| ✓ | 50.9% | #s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y))) |
| ✓ | 51.0% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
| ✓ | 51.0% | #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
| ✓ | 50.5% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
Compiled 222 to 93 computations (58.1% saved)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
#s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y))) |
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
#s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))) |
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) |
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) |
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) |
| Outputs |
|---|
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
6 calls:
| 4.0ms | z |
| 4.0ms | x |
| 4.0ms | (*.f64 x #s(literal 3 binary64)) |
| 4.0ms | y |
| 4.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 99.9% | 1 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 99.9% | 1 | (*.f64 x #s(literal 3 binary64)) |
Compiled 36 to 27 computations (25% saved)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
#s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y))) |
| Outputs |
|---|
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
6 calls:
| 5.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (*.f64 x #s(literal 3 binary64)) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.2% | 3 | x |
| 77.0% | 3 | y |
| 72.6% | 3 | z |
| 67.1% | 5 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 82.9% | 3 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 75.2% | 3 | (*.f64 x #s(literal 3 binary64)) |
Compiled 36 to 27 computations (25% saved)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
| Outputs |
|---|
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) |
1 calls:
| 1.0ms | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 3 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
Compiled 8 to 6 computations (25% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
| Outputs |
|---|
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
6 calls:
| 1.0ms | z |
| 1.0ms | (*.f64 x #s(literal 3 binary64)) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.5% | 1 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 50.5% | 1 | z |
| 50.5% | 1 | x |
| 50.5% | 1 | (*.f64 x #s(literal 3 binary64)) |
| 50.5% | 1 | y |
| 50.5% | 1 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
Compiled 36 to 27 computations (25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7754515536460787e-31 | 6.734660830671654e-29 |
| 0.0ms | -9.157112606225885e-36 | -2.5163976650780852e-42 |
Compiled 13 to 13 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7754515536460787e-31 | 6.734660830671654e-29 |
| 0.0ms | -9.157112606225885e-36 | -2.5163976650780852e-42 |
Compiled 13 to 13 computations (0% saved)
| 1× | egg-herbie |
| 10× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 121 |
| 1 | 33 | 121 |
| 2 | 36 | 121 |
| 3 | 37 | 121 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)))) |
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))))) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
| Outputs |
|---|
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)))) |
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))))) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
| 7 654× | lower-fma.f32 |
| 7 648× | lower-fma.f64 |
| 4 414× | lower-*.f32 |
| 4 398× | lower-*.f64 |
| 4 338× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 378 |
| 1 | 118 | 378 |
| 2 | 331 | 378 |
| 3 | 833 | 378 |
| 4 | 2352 | 378 |
| 5 | 4041 | 378 |
| 6 | 5990 | 378 |
| 7 | 7425 | 378 |
| 8 | 7937 | 378 |
| 0 | 8002 | 378 |
| 0 | 25 | 119 |
| 0 | 43 | 97 |
| 1 | 157 | 97 |
| 2 | 990 | 97 |
| 0 | 8713 | 97 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 115 to 48 computations (58.3% saved)
(sort x y)
Compiled 230 to 92 computations (60% saved)
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