
Time bar (total: 6.2s)
| 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)
| 503.0ms | 8 256× | 0 | valid |
ival-mult: 271.0ms (83.2% of total)ival-sub: 41.0ms (12.6% of total)ival-true: 6.0ms (1.8% of total)exact: 5.0ms (1.5% of total)ival-assert: 3.0ms (0.9% 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 |
| 56.0ms | 512× | 0 | valid |
Compiled 49 to 25 computations (49% saved)
ival-mult: 7.0ms (68.7% of total)ival-sub: 2.0ms (19.6% 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) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(sort x y)
Compiled 7 to 7 computations (0% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
Compiled 7 to 7 computations (0% 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) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(*.f64 y (*.f64 #s(literal 3 binary64) x)) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
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 | 0.00390625 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) | |
| accuracy | 0.19140625 | (*.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 (59.6% 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 (* 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 (* -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 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 (*.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 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 (*.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 -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 (* -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 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) (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 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 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) (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 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 (* 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) (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>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- (* (* x 3) y) z) (* (* x 3) y) (* x 3)) |
| 1.0ms | y | @ | inf | ((- (* (* x 3) y) z) (* (* x 3) y) (* x 3)) |
| 1.0ms | x | @ | -inf | ((- (* (* x 3) y) z) (* (* x 3) y) (* x 3)) |
| 1.0ms | x | @ | 0 | ((- (* (* x 3) y) z) (* (* x 3) y) (* x 3)) |
| 1.0ms | y | @ | 0 | ((- (* (* x 3) y) z) (* (* x 3) y) (* x 3)) |
| 1× | egg-herbie |
| 3 552× | lower-fma.f64 |
| 3 552× | lower-fma.f32 |
| 2 734× | lower-*.f64 |
| 2 734× | lower-*.f32 |
| 1 562× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 378 |
| 1 | 118 | 378 |
| 2 | 334 | 378 |
| 3 | 838 | 378 |
| 4 | 2379 | 378 |
| 5 | 4087 | 378 |
| 6 | 6030 | 378 |
| 7 | 7461 | 378 |
| 8 | 7976 | 378 |
| 0 | 8001 | 378 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 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)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
| Outputs |
|---|
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(- (* 3 (* x y)) z) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(- (* 3 (* x y)) z) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(- (* 3 (* x y)) z) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* -1 z) |
(neg.f64 z) |
(- (* 3 (* x y)) z) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(- (* 3 (* x y)) z) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(- (* 3 (* x y)) z) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
| 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 (pow.f64 (/.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 2 binary64)) #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) #s(literal 19683 binary64) (pow.f64 z #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 81 binary64) (*.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z) (fma.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z (neg.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (-.f64 z (*.f64 y (*.f64 #s(literal 3 binary64) x)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (pow.f64 (fma.f64 z z (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 2 binary64)) #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) #s(literal 19683 binary64) (pow.f64 z #s(literal 9 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)))))) |
(*.f64 (fma.f64 z z (neg.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) |
(*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 6 binary64)) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))))) |
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(pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 #s(literal 3 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 0 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal 0 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 0 binary64))))) |
(fma.f64 (exp.f64 (log.f64 (*.f64 y x))) (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 y x))) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 (*.f64 y #s(literal 3 binary64)))) (exp.f64 (log.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))) (exp.f64 (log.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x #s(literal 0 binary64)) |
(fma.f64 y (*.f64 #s(literal 3 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) y #s(literal 0 binary64)) |
(fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 y #s(literal 3 binary64)) #s(literal 0 binary64)) |
(-.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)))) |
(+.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 0 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 x #s(literal 3 binary64)) |
Compiled 10 183 to 716 computations (93% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 322 | 6 | 328 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 322 | 7 | 329 |
| Status | Accuracy | Program |
|---|---|---|
| 73.5% | (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) | |
| ▶ | 52.1% | (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) |
| ▶ | 99.8% | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
| ▶ | 99.8% | (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
| ✓ | 99.9% | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| ▶ | 50.8% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ▶ | 50.0% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
Compiled 165 to 115 computations (30.3% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 9 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 1408 | (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 (*.f64 y x) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) | |
| 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 y x) | |
| cost-diff | 0 | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
| 30 832× | lower-fma.f32 |
| 30 824× | lower-fma.f64 |
| 3 992× | lower-*.f32 |
| 3 976× | lower-*.f64 |
| 1 472× | distribute-lft-neg-in |
Useful iterations: 14 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 162 |
| 0 | 45 | 162 |
| 1 | 85 | 162 |
| 2 | 141 | 162 |
| 3 | 292 | 162 |
| 4 | 720 | 162 |
| 5 | 1715 | 162 |
| 6 | 3167 | 157 |
| 7 | 4400 | 157 |
| 8 | 5404 | 157 |
| 9 | 5459 | 157 |
| 10 | 5473 | 157 |
| 11 | 5476 | 157 |
| 12 | 5694 | 157 |
| 13 | 5743 | 157 |
| 14 | 5743 | 155 |
| 15 | 6369 | 155 |
| 16 | 6637 | 155 |
| 17 | 6639 | 155 |
| 18 | 6639 | 155 |
| 19 | 6639 | 155 |
| 20 | 6639 | 155 |
| 21 | 6639 | 155 |
| 22 | 6909 | 155 |
| 0 | 8076 | 155 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 y x) |
y |
x |
#s(literal 3 binary64) |
(neg.f64 z) |
z |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 3 binary64) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
x |
(neg.f64 z) |
z |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) |
(*.f64 y y) |
y |
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
#s(literal 9 binary64) |
(*.f64 x x) |
x |
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
z |
(neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))) |
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) |
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
| Outputs |
|---|
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(literal 3 binary64) |
(neg.f64 z) |
z |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) y) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(literal 3 binary64) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
y |
#s(literal 3 binary64) |
x |
(neg.f64 z) |
z |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y) y (*.f64 (neg.f64 z) z)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) |
(*.f64 y y) |
y |
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(*.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) #s(literal 9 binary64)) x) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
#s(literal 9 binary64) |
(*.f64 x x) |
x |
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) x z) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
z |
(neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))) |
(*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) (neg.f64 z)) |
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) |
(*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) |
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.9897291048045682 | (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) | |
| accuracy | 2.710453144795015 | (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) | |
| accuracy | 15.484962330681043 | (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) | |
| accuracy | 16.251692900637927 | (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.12109375 | (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.20703125 | (*.f64 (*.f64 y x) #s(literal 3 binary64)) | |
| accuracy | 31.35513543247964 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 32.02409175721339 | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.1015625 | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
| 121.0ms | 256× | 0 | valid |
Compiled 165 to 29 computations (82.4% saved)
ival-mult: 59.0ms (81.8% of total)ival-add: 6.0ms (8.3% of total)ival-div: 3.0ms (4.2% of total)ival-neg: 2.0ms (2.8% of total)ival-sub: 1.0ms (1.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<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 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y x) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 9 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 9 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 z) (#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 (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#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 (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#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 (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#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 (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -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))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ()) |
#s(alt (* -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))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z (* x (pow y 2))) (* 3 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (* 3 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (* x (pow y 4)))) (* 1/3 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (* 3 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 9 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 9 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 9 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 9 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ z (* x y))) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -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)) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -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)) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | 0 | ((+ (* (* y x) 3) (neg z)) (* y x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 4.0ms | y | @ | 0 | ((+ (* (* y x) 3) (neg z)) (* y x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 4.0ms | x | @ | 0 | ((+ (* (* y x) 3) (neg z)) (* y x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 3.0ms | y | @ | -inf | ((+ (* (* y x) 3) (neg z)) (* y x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 3.0ms | x | @ | inf | ((+ (* (* y x) 3) (neg z)) (* y x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 1× | egg-herbie |
| 8 282× | lower-fma.f64 |
| 8 282× | lower-fma.f32 |
| 5 250× | lower-*.f64 |
| 5 250× | lower-*.f32 |
| 2 922× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 702 | 4608 |
| 1 | 2174 | 4286 |
| 2 | 7199 | 4221 |
| 0 | 8170 | 4053 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (/ x y)) |
(+ (* -1 (/ z (pow y 2))) (* 3 (/ x y))) |
(+ (* 3 (/ x y)) (* z (- (* 1/3 (/ z (* x (pow y 3)))) (/ 1 (pow y 2))))) |
(+ (* 3 (/ x y)) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 4)))) (* 1/3 (/ 1 (* x (pow y 3)))))) (/ 1 (pow y 2))))) |
(* 1/3 (/ z (* x y))) |
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) |
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
(* z (+ (* 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))))) |
(* 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))))) |
(* -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 z) |
(* -1 z) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -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)) |
(* 9 (/ (pow x 2) z)) |
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (* 9 (pow x 2))) z) |
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (+ (* 9 (pow x 2)) (* 81 (/ (* (pow x 4) (pow y 2)) (pow z 2))))) z) |
(/ (+ (* -243 (/ (* (pow x 5) (pow y 3)) (pow z 3))) (+ (* -27 (/ (* (pow x 3) y) z)) (+ (* 9 (pow x 2)) (* 81 (/ (* (pow x 4) (pow y 2)) (pow z 2)))))) z) |
1 |
(+ 1 (* -3 (/ (* x y) z))) |
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) 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 |
(* 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))))) |
(* -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) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -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) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -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) |
(* -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))))) |
(* 9 (/ (pow x 2) z)) |
(* -1 (/ (+ (* -9 (pow x 2)) (* 27 (/ (* (pow x 3) y) z))) z)) |
(* -1 (/ (+ (* -9 (pow x 2)) (* -1 (/ (+ (* -27 (* (pow x 3) y)) (* 81 (/ (* (pow x 4) (pow y 2)) z))) z))) z)) |
(* -1 (/ (+ (* -9 (pow x 2)) (* -1 (/ (+ (* -27 (* (pow x 3) y)) (* -1 (/ (+ (* -81 (* (pow x 4) (pow y 2))) (* 243 (/ (* (pow x 5) (pow y 3)) z))) z))) z))) z)) |
1 |
(+ 1 (* -3 (/ (* x y) z))) |
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -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))) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* -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) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 9 (/ (pow x 2) z)) |
(+ (* -27 (/ (* (pow x 3) y) (pow z 2))) (* 9 (/ (pow x 2) z))) |
(+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 81 (/ (* (pow x 4) y) (pow z 3)))))) |
(+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* y (+ (* -243 (/ (* (pow x 5) y) (pow z 4))) (* 81 (/ (pow x 4) (pow z 3)))))))) |
1 |
(+ 1 (* -3 (/ (* x y) z))) |
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z))))) |
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z))))) |
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)))) |
(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* x y) |
(* x y) |
(* x y) |
(* 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)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 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 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 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))))))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 3 (/ x y)) |
(/ (+ (* -1 (/ z y)) (* 3 x)) y) |
(/ (+ (* -1 (/ z y)) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))) y) |
(/ (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) y) |
(* 1/3 (/ z (* x y))) |
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y) |
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y) |
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y) |
(* 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) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 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 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 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))))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 3 (/ x y)) |
(* -1 (/ (+ (* -3 x) (/ z y)) y)) |
(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* 1/3 (/ (pow z 2) (* x y)))) y))) y)) |
(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))) y))) y)) |
(* 1/3 (/ z (* x y))) |
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) 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)) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* -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) |
(* 9 (/ (pow x 2) z)) |
(* (pow x 2) (+ (* -27 (/ (* x y) (pow z 2))) (* 9 (/ 1 z)))) |
(* (pow x 2) (+ (* x (+ (* -27 (/ y (pow z 2))) (* 81 (/ (* x (pow y 2)) (pow z 3))))) (* 9 (/ 1 z)))) |
(* (pow x 2) (+ (* x (+ (* -27 (/ y (pow z 2))) (* x (+ (* -243 (/ (* x (pow y 3)) (pow z 4))) (* 81 (/ (pow y 2) (pow z 3))))))) (* 9 (/ 1 z)))) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
1 |
(+ 1 (* -3 (/ (* x y) z))) |
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z))))) |
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z))))) |
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)))) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x y) |
(* x y) |
(* x y) |
(* 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)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 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)) |
(* 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)) |
(* x (+ (* -1 (/ z (* x (pow y 2)))) (* 3 (/ 1 y)))) |
(* x (- (+ (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 3 (/ 1 y))) (/ z (* x (pow y 2))))) |
(* x (- (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 3 (/ 1 y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2)))))) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 1/3 (/ z (* x y))) |
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x) |
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x) |
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x) |
(* 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) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* 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))))) |
(* 3 (/ x y)) |
(* -1 (* x (- (/ z (* x (pow y 2))) (* 3 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (* 3 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (* x (pow y 4)))) (* 1/3 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (* 3 (/ 1 y))))) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 1/3 (/ z (* x y))) |
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) 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)) |
| Outputs |
|---|
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (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)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(* 3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 3 binary64)) |
(+ (* -1 (/ z (pow y 2))) (* 3 (/ x y))) |
(/.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y) |
(+ (* 3 (/ x y)) (* z (- (* 1/3 (/ z (* x (pow y 3)))) (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 3 binary64) y) x (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) z)) |
(+ (* 3 (/ x y)) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 4)))) (* 1/3 (/ 1 (* x (pow y 3)))))) (/ 1 (pow y 2))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) z (/.f64 #s(literal -1 binary64) (*.f64 y y))) z (*.f64 (/.f64 x y) #s(literal 3 binary64))) |
(* 1/3 (/ z (* x y))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) |
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) (/.f64 z (*.f64 y y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z) |
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z) |
(* z (+ (* 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))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z) |
(* 1/3 (/ (pow z 2) (* x y))) |
(*.f64 (*.f64 z (/.f64 z (*.f64 y x))) #s(literal 1/3 binary64)) |
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 z z) (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) (/.f64 z (*.f64 y y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y x)))) |
(* (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))))) |
(*.f64 (*.f64 z z) (fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x)))) |
(* (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))))) |
(*.f64 (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x)))) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) 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) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
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(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) 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 (fma.f64 (/.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (*.f64 y y)) #s(literal 0 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))) 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 (-.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 0 binary64) (fma.f64 (/.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (*.f64 y y)) #s(literal 0 binary64) (*.f64 y #s(literal 3 binary64)))) (/.f64 z x)) x) |
(* 3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 3 binary64)) |
(* x (+ (* -1 (/ z (* x (pow y 2)))) (* 3 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 (/.f64 z (*.f64 y x)) y)) x) |
(* x (- (+ (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 3 (/ 1 y))) (/ z (* x (pow y 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 z (/.f64 z x)) (/.f64 (/.f64 (neg.f64 z) y) y)) x)) x) |
(* x (- (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 3 (/ 1 y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) y) (fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 z (/.f64 z x)) x) (/.f64 (/.f64 z (*.f64 y x)) y)))) x) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* 1/3 (/ z (* x y))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) |
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal -1/9 binary64) (*.f64 (/.f64 z y) #s(literal 1/3 binary64))) x) |
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x) |
(/.f64 (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal -1/9 binary64))) x)) x) |
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (-.f64 (*.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (*.f64 x x)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))))) x) |
(* 1/3 (/ (pow z 2) (* x y))) |
(*.f64 (*.f64 z (/.f64 z (*.f64 y x))) #s(literal 1/3 binary64)) |
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) x) (*.f64 (*.f64 z (/.f64 z x)) #s(literal 1/3 binary64))) y) |
(/ (- (+ (* 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) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x)) 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) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64) (-.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (*.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) x))))) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) 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 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) 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 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 (-.f64 z (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) x))) |
(* 3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 3 binary64)) |
(* -1 (* x (- (/ z (* x (pow y 2))) (* 3 (/ 1 y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z (*.f64 y x)) y) (/.f64 #s(literal 3 binary64) y))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (* 3 (/ 1 y))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 z (/.f64 z x)) (/.f64 (/.f64 (neg.f64 z) y) y)) x) (/.f64 #s(literal 3 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (* x (pow y 4)))) (* 1/3 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (* 3 (/ 1 y))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) y) y) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 z z)) (pow.f64 y #s(literal 3 binary64)))) x)) x) (/.f64 #s(literal 3 binary64) y)) x) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* 1/3 (/ z (* x y))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) |
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (*.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal 1/9 binary64))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal -1/9 binary64))) (neg.f64 x))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -1/27 binary64))) x) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/9 binary64))) x)) (neg.f64 x)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(*.f64 (*.f64 z (/.f64 z (*.f64 y x))) #s(literal 1/3 binary64)) |
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64))) (neg.f64 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)) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) (neg.f64 x))) (neg.f64 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)) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) x) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) x) (*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) y))) x)) (neg.f64 x)) |
| 4 098× | lower-fma.f32 |
| 4 090× | lower-fma.f64 |
| 3 124× | lower-*.f32 |
| 3 108× | lower-*.f64 |
| 2 264× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 115 |
| 0 | 45 | 95 |
| 1 | 168 | 95 |
| 2 | 954 | 88 |
| 0 | 9453 | 88 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 y x) |
(neg.f64 z) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(*.f64 y #s(literal 3 binary64)) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) |
(*.f64 y y) |
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 3 binary64))) (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (fma.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (fma.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (fma.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 3 binary64))) (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))))))) |
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z)) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) |
(/.f64 (/.f64 z (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z)) |
(/.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) |
(/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) |
(neg.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))) |
(fma.f64 (/.f64 z (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) y) (*.f64 (/.f64 z (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) z)) |
(fma.f64 (/.f64 z (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) z (*.f64 (/.f64 z (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 (/.f64 z (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (*.f64 (/.f64 z (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 z (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)) (*.f64 (/.f64 z (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))) |
(-.f64 #s(literal 0 binary64) (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 z (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (*.f64 (/.f64 z (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) z)) |
(+.f64 (*.f64 (/.f64 z (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) z) (*.f64 (/.f64 z (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) y))) |
(+.f64 (*.f64 (/.f64 z (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) (*.f64 (/.f64 z (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))) |
(+.f64 (*.f64 (/.f64 z (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (*.f64 (/.f64 z (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) |
(+.f64 #s(literal 0 binary64) (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (*.f64 z z) (fma.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 z (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 z (fma.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (*.f64 z z) (fma.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 z z) (pow.f64 (fma.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) (/.f64 (*.f64 z z) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))) |
(*.f64 (/.f64 z (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) |
(*.f64 (/.f64 z (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 z (pow.f64 (fma.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -9 binary64) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))) |
(*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (pow.f64 (fma.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) |
(*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) #s(literal -1 binary64)) (/.f64 z (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal -1 binary64)) (/.f64 z (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z)) |
(*.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (*.f64 z z))) |
(*.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(*.f64 (*.f64 z z) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) #s(literal -1 binary64))) |
(*.f64 (*.f64 z z) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal -1 binary64)) |
(*.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 1 binary64)) |
(*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) |
(*.f64 z (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))) |
(pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (*.f64 z z)) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (*.f64 z z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (*.f64 z z))) |
(/.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 2 binary64)) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z)) |
(/.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 3 binary64)) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 z z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) |
(/.f64 (*.f64 z z) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) |
(/.f64 z (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z)) |
(neg.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z)) |
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))) |
(fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) y) (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) z)) |
(fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) z (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) #s(literal 0 binary64) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z)) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z)) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z)) |
(+.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) #s(literal 0 binary64)) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z)) |
(+.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) z)) |
(+.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) z) (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) y))) |
(+.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))) |
(+.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) |
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z)) |
Compiled 51 344 to 2 307 computations (95.5% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 610 | 5 | 1 615 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 612 | 10 | 1 622 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.6% | (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) |
| ✓ | 99.8% | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
| ✓ | 99.8% | (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
| ✓ | 99.9% | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| ✓ | 50.8% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ▶ | 50.8% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
| ▶ | 50.9% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) |
| ✓ | 50.0% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
| ▶ | 2.3% | #s(approx (- (* (* x 3) y) z) z) |
| ▶ | 92.9% | #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) |
Compiled 130 to 125 computations (3.8% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 9 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) y) x) | |
| cost-diff | 0 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) x) y) | |
| cost-diff | 0 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) | |
| cost-diff | 0 | #s(approx (- (* (* x 3) y) z) z) | |
| cost-diff | 0 | #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) | |
| cost-diff | 64 | (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) | |
| cost-diff | 704 | (/.f64 #s(literal 0 binary64) z) | |
| cost-diff | 1024 | (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) |
| 4 126× | lower-fma.f32 |
| 4 118× | lower-fma.f64 |
| 3 206× | lower-*.f32 |
| 3 188× | lower-*.f64 |
| 1 202× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 259 |
| 0 | 69 | 246 |
| 1 | 128 | 241 |
| 2 | 233 | 232 |
| 3 | 530 | 230 |
| 4 | 1631 | 230 |
| 5 | 4275 | 230 |
| 6 | 6172 | 230 |
| 7 | 7784 | 230 |
| 0 | 8015 | 229 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) |
(fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) |
(*.f64 #s(literal -3 binary64) y) |
#s(literal -3 binary64) |
y |
x |
(/.f64 #s(literal 0 binary64) z) |
#s(literal 0 binary64) |
z |
#s(approx (- (* (* x 3) y) z) z) |
z |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) y) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
y |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
x |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) |
(*.f64 y y) |
y |
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
#s(literal 9 binary64) |
(*.f64 x x) |
x |
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
z |
(neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))) |
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) |
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) |
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x z))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z)) |
(neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x z)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) |
(fma.f64 (*.f64 #s(literal -3 binary64) y) x z) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) |
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) x) z) |
(fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) |
(*.f64 (*.f64 #s(literal -3 binary64) y) x) |
(*.f64 #s(literal -3 binary64) y) |
#s(literal -3 binary64) |
y |
x |
(/.f64 #s(literal 0 binary64) z) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
z |
#s(approx (- (* (* x 3) y) z) z) |
z |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) y) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
y |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 (*.f64 #s(literal 3 binary64) x) y) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
x |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))) |
(*.f64 y y) |
y |
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
#s(literal 9 binary64) |
(*.f64 x x) |
x |
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) y z) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
z |
(neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) |
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) |
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.9897291048045682 | (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) | |
| accuracy | 15.484962330681043 | (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) | |
| accuracy | 16.251692900637927 | (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) | |
| accuracy | 31.813293669004782 | #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.2421875 | (*.f64 (*.f64 #s(literal 3 binary64) y) x) | |
| accuracy | 31.35513543247964 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) x) | |
| accuracy | 0.19140625 | (*.f64 (*.f64 #s(literal 3 binary64) x) y) | |
| accuracy | 31.35513543247964 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) | |
| accuracy | 62.522329056714845 | #s(approx (- (* (* x 3) y) z) z) | |
| accuracy | 0 | #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) | |
| accuracy | 0.2421875 | (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) | |
| accuracy | 4.508152173627124 | (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) | |
| accuracy | 5.472461924990512 | (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) |
| 73.0ms | 256× | 0 | valid |
Compiled 240 to 36 computations (85% saved)
ival-mult: 29.0ms (56.1% of total)ival-add: 9.0ms (17.4% of total)ival-div: 8.0ms (15.5% of total)ival-neg: 3.0ms (5.8% of total)ival-sub: 2.0ms (3.9% of total)exact: 1.0ms (1.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) (patch (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 0 binary64) z) (patch (/.f64 #s(literal 0 binary64) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x) y) (patch (*.f64 (*.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 9 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 9 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) (patch (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) (patch (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) (patch (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) (patch (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) (patch (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 z) (#s(alt (/.f64 #s(literal 0 binary64) z) (patch (/.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 z) (#s(alt (/.f64 #s(literal 0 binary64) z) (patch (/.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 z) (#s(alt (/.f64 #s(literal 0 binary64) z) (patch (/.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 z) (#s(alt (/.f64 #s(literal 0 binary64) z) (patch (/.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | 0 | ((+ (* (/ (+ (* (* -3 y) x) (/ 0 z)) z) z) z) (/ 0 z) (+ (* (* -3 y) x) (/ 0 z)) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 x) y) (* 3 x) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ (+ (* (* -3 y) x) (/ 0 z)) z) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 3.0ms | y | @ | inf | ((+ (* (/ (+ (* (* -3 y) x) (/ 0 z)) z) z) z) (/ 0 z) (+ (* (* -3 y) x) (/ 0 z)) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 x) y) (* 3 x) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ (+ (* (* -3 y) x) (/ 0 z)) z) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 3.0ms | z | @ | 0 | ((+ (* (/ (+ (* (* -3 y) x) (/ 0 z)) z) z) z) (/ 0 z) (+ (* (* -3 y) x) (/ 0 z)) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 x) y) (* 3 x) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ (+ (* (* -3 y) x) (/ 0 z)) z) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 3.0ms | y | @ | -inf | ((+ (* (/ (+ (* (* -3 y) x) (/ 0 z)) z) z) z) (/ 0 z) (+ (* (* -3 y) x) (/ 0 z)) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 x) y) (* 3 x) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ (+ (* (* -3 y) x) (/ 0 z)) z) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 3.0ms | x | @ | -inf | ((+ (* (/ (+ (* (* -3 y) x) (/ 0 z)) z) z) z) (/ 0 z) (+ (* (* -3 y) x) (/ 0 z)) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 x) y) (* 3 x) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ (+ (* (* -3 y) x) (/ 0 z)) z) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 1× | egg-herbie |
| 8 392× | lower-fma.f64 |
| 8 392× | lower-fma.f32 |
| 5 302× | lower-*.f64 |
| 5 302× | lower-*.f32 |
| 3 016× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 705 | 5884 |
| 1 | 2182 | 5286 |
| 2 | 7283 | 5216 |
| 0 | 8033 | 5015 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -3 (* x y)) |
(+ z (* -3 (* x y))) |
(+ z (* -3 (* x y))) |
(+ z (* -3 (* x y))) |
0 |
0 |
0 |
0 |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (/ x y)) |
(+ (* -1 (/ z (pow y 2))) (* 3 (/ x y))) |
(+ (* 3 (/ x y)) (* z (- (* 1/3 (/ z (* x (pow y 3)))) (/ 1 (pow y 2))))) |
(+ (* 3 (/ x y)) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 4)))) (* 1/3 (/ 1 (* x (pow y 3)))))) (/ 1 (pow y 2))))) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* 1/3 (/ z (* x y))) |
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) |
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
(* z (+ (* 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))))) |
(* 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 (* -3 (/ (* x y) z)))) |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
0 |
0 |
0 |
0 |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -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) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -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)) |
(* 9 (/ (pow x 2) z)) |
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (* 9 (pow x 2))) z) |
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (+ (* 9 (pow x 2)) (* 81 (/ (* (pow x 4) (pow y 2)) (pow z 2))))) z) |
(/ (+ (* -243 (/ (* (pow x 5) (pow y 3)) (pow z 3))) (+ (* -27 (/ (* (pow x 3) y) z)) (+ (* 9 (pow x 2)) (* 81 (/ (* (pow x 4) (pow y 2)) (pow z 2)))))) z) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
1 |
(+ 1 (* -3 (/ (* x y) z))) |
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) 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 |
(* 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 (- (* 3 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* 3 (/ (* x y) z)) 1))) |
0 |
0 |
0 |
0 |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -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))))) |
(* -1 z) |
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(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
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(* -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))))) |
(* 9 (/ (pow x 2) z)) |
(* -1 (/ (+ (* -9 (pow x 2)) (* 27 (/ (* (pow x 3) y) z))) z)) |
(* -1 (/ (+ (* -9 (pow x 2)) (* -1 (/ (+ (* -27 (* (pow x 3) y)) (* 81 (/ (* (pow x 4) (pow y 2)) z))) z))) z)) |
(* -1 (/ (+ (* -9 (pow x 2)) (* -1 (/ (+ (* -27 (* (pow x 3) y)) (* -1 (/ (+ (* -81 (* (pow x 4) (pow y 2))) (* 243 (/ (* (pow x 5) (pow y 3)) z))) z))) z))) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
1 |
(+ 1 (* -3 (/ (* x y) z))) |
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -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 (* -3 (* x y))) |
(+ z (* -3 (* x y))) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -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) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* -1 z) |
(- (* 3 (* x y)) z) |
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(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* -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) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 9 (/ (pow x 2) z)) |
(+ (* -27 (/ (* (pow x 3) y) (pow z 2))) (* 9 (/ (pow x 2) z))) |
(+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 81 (/ (* (pow x 4) y) (pow z 3)))))) |
(+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* y (+ (* -243 (/ (* (pow x 5) y) (pow z 4))) (* 81 (/ (pow x 4) (pow z 3)))))))) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
1 |
(+ 1 (* -3 (/ (* x y) z))) |
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z))))) |
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z))))) |
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)))) |
(* -3 (* x y)) |
(* y (+ (* -3 x) (/ z y))) |
(* y (+ (* -3 x) (/ z y))) |
(* y (+ (* -3 x) (/ z y))) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* 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)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
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(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
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(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 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))))))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 3 (/ x y)) |
(/ (+ (* -1 (/ z y)) (* 3 x)) y) |
(/ (+ (* -1 (/ z y)) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))) y) |
(/ (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) y) |
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(* 1/3 (/ z (* x y))) |
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y) |
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y) |
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y) |
(* 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) |
(* -3 (* x y)) |
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x)))) |
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x)))) |
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x)))) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* 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 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 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))))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 3 (/ x y)) |
(* -1 (/ (+ (* -3 x) (/ z y)) y)) |
(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* 1/3 (/ (pow z 2) (* x y)))) y))) y)) |
(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))) y))) y)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* 1/3 (/ z (* x y))) |
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) 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)) |
z |
(+ z (* -3 (* x y))) |
(+ z (* -3 (* x y))) |
(+ z (* -3 (* x y))) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -3 (* 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) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 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)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* 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) |
(* 9 (/ (pow x 2) z)) |
(* (pow x 2) (+ (* -27 (/ (* x y) (pow z 2))) (* 9 (/ 1 z)))) |
(* (pow x 2) (+ (* x (+ (* -27 (/ y (pow z 2))) (* 81 (/ (* x (pow y 2)) (pow z 3))))) (* 9 (/ 1 z)))) |
(* (pow x 2) (+ (* x (+ (* -27 (/ y (pow z 2))) (* x (+ (* -243 (/ (* x (pow y 3)) (pow z 4))) (* 81 (/ (pow y 2) (pow z 3))))))) (* 9 (/ 1 z)))) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
1 |
(+ 1 (* -3 (/ (* x y) z))) |
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z))))) |
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z))))) |
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)))) |
(* -3 (* x y)) |
(* x (+ (* -3 y) (/ z x))) |
(* x (+ (* -3 y) (/ z x))) |
(* x (+ (* -3 y) (/ z x))) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* 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)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 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)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 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)) |
(* x (+ (* -1 (/ z (* x (pow y 2)))) (* 3 (/ 1 y)))) |
(* x (- (+ (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 3 (/ 1 y))) (/ z (* x (pow y 2))))) |
(* x (- (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 3 (/ 1 y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2)))))) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* 1/3 (/ z (* x y))) |
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x) |
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x) |
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x) |
(* 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) |
(* -3 (* x y)) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -3 (* x y)) |
(* -3 (* x 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))))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x 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))))) |
(* 3 (/ x y)) |
(* -1 (* x (- (/ z (* x (pow y 2))) (* 3 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (* 3 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (* x (pow y 4)))) (* 1/3 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (* 3 (/ 1 y))))) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* 1/3 (/ z (* x y))) |
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) 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)) |
| Outputs |
|---|
(* -3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -3 binary64)) |
(+ z (* -3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal -3 binary64) z) |
(+ z (* -3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal -3 binary64) z) |
(+ z (* -3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal -3 binary64) z) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(* -3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -3 binary64)) |
(* -3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -3 binary64)) |
(* -3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -3 binary64)) |
(* -3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -3 binary64)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(* 3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 3 binary64)) |
(+ (* -1 (/ z (pow y 2))) (* 3 (/ x y))) |
(/.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (neg.f64 z) y)) y) |
(+ (* 3 (/ x y)) (* z (- (* 1/3 (/ z (* x (pow y 3)))) (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 3 binary64) y) x (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) z)) |
(+ (* 3 (/ x y)) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 4)))) (* 1/3 (/ 1 (* x (pow y 3)))))) (/ 1 (pow y 2))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) z (/.f64 #s(literal -1 binary64) (*.f64 y y))) z (*.f64 (/.f64 x y) #s(literal 3 binary64))) |
(* -3 (/ (* x y) z)) |
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64)) |
(* -3 (/ (* x y) z)) |
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64)) |
(* -3 (/ (* x y) z)) |
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64)) |
(* -3 (/ (* x y) z)) |
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64)) |
(* 1/3 (/ z (* x y))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) |
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 y y)) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z) |
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z) |
(* z (+ (* 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))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z) |
(* 1/3 (/ (pow z 2) (* x y))) |
(*.f64 (*.f64 z (/.f64 z (*.f64 y x))) #s(literal 1/3 binary64)) |
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 z z) (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 y y)) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1/3 binary64) (*.f64 y x)))) |
(* (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))))) |
(*.f64 (*.f64 z z) (fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x)))) |
(* (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))))) |
(*.f64 (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x)))) |
z |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64)) z) |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64)) z) |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64)) z) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(* -3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -3 binary64)) |
(* -3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -3 binary64)) |
(* -3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -3 binary64)) |
(* -3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -3 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* 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 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) (/.f64 (*.f64 y y) z))) z) (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 y (/.f64 y (*.f64 z z))) #s(literal -1 binary64))) z) |
(* 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)) |
(fma.f64 (+.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) (/.f64 (*.f64 y y) z))) z)) (fma.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 y (/.f64 y (*.f64 z z)))))) z (neg.f64 z)) |
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(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1/27 binary64) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) x)) 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) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64) (-.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (*.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) x))))) x) |
(* -3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -3 binary64)) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))) |
(* -3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -3 binary64)) |
(* -3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -3 binary64)) |
(* -3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -3 binary64)) |
(* -3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -3 binary64)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) 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 (neg.f64 x) (fma.f64 y #s(literal -3 binary64) (/.f64 (neg.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 (neg.f64 x) (-.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) z) x))) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y 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 y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) 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 (neg.f64 x) (fma.f64 y #s(literal -3 binary64) (/.f64 (neg.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 (neg.f64 x) (-.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) z) x))) |
(* 3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 3 binary64)) |
(* -1 (* x (- (/ z (* x (pow y 2))) (* 3 (/ 1 y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z (*.f64 y x)) y) (/.f64 #s(literal 3 binary64) y))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (* 3 (/ 1 y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -3 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 z (/.f64 z x)) (/.f64 (/.f64 (neg.f64 z) y) y)) x))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (* x (pow y 4)))) (* 1/3 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (* 3 (/ 1 y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) y) y) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) z) z) (pow.f64 y #s(literal 3 binary64)))) x)) x))) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* -3 (/ (* x y) z)) |
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64)) |
(* -3 (/ (* x y) z)) |
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64)) |
(* -3 (/ (* x y) z)) |
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64)) |
(* -3 (/ (* x y) z)) |
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64)) |
(* 1/3 (/ z (* x y))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) |
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (*.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal 1/9 binary64))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal -1/9 binary64))) (neg.f64 x))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (fma.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(*.f64 (*.f64 z (/.f64 z (*.f64 y x))) #s(literal 1/3 binary64)) |
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64))) (neg.f64 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)) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1/27 binary64) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 x))) (neg.f64 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)) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) x) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x)) |
| 8 306× | lower-fma.f32 |
| 8 298× | lower-fma.f64 |
| 4 634× | lower-/.f32 |
| 4 630× | lower-/.f64 |
| 3 970× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 199 |
| 0 | 69 | 188 |
| 1 | 228 | 177 |
| 2 | 1533 | 160 |
| 0 | 8362 | 158 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) |
(/.f64 #s(literal 0 binary64) z) |
(fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) |
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) |
#s(approx (- (* (* x 3) y) z) z) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) y) |
(*.f64 #s(literal 3 binary64) x) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 #s(literal 3 binary64) y) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) |
(*.f64 y y) |
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) |
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) |
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 z z) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) (neg.f64 z))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 z (-.f64 z (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64)))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z)) z) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 z) z)) (pow.f64 (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) (neg.f64 z)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64)) z))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 z (-.f64 z (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) z)) |
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) (neg.f64 z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) (neg.f64 z))) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) (neg.f64 z))) (fma.f64 (/.f64 (*.f64 z z) (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) (neg.f64 z))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) (neg.f64 z))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 z (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 z) z)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) (neg.f64 z))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 z (-.f64 z (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) (neg.f64 z))) (*.f64 (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) (neg.f64 z)) (*.f64 z z))) (*.f64 (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) (neg.f64 z)) (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) (neg.f64 z)))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 z (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64)))) |
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64)) z))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) z) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (*.f64 x (*.f64 y #s(literal -3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (*.f64 y #s(literal -3 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 y #s(literal -3 binary64)))) z)) |
(neg.f64 (/.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) (neg.f64 z))) |
(-.f64 (/.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z) (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -3 binary64)))) z)) |
(-.f64 (/.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z))) |
(-.f64 (/.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 x (*.f64 y #s(literal -3 binary64))))) #s(literal -1 binary64))) |
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) |
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) |
Compiled 18 230 to 2 026 computations (88.9% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 832 | 2 | 834 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 834 | 10 | 844 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.3% | (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) |
| ✓ | 99.8% | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
| ✓ | 99.8% | (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
| ✓ | 99.9% | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| ✓ | 50.8% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ✓ | 50.8% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
| ✓ | 50.9% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) |
| ✓ | 50.0% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
| ✓ | 2.3% | #s(approx (- (* (* x 3) y) z) z) |
| ▶ | 92.9% | #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) |
Compiled 71 to 74 computations (-4.2% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 x y) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) | |
| cost-diff | 0 | (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) | |
| cost-diff | 0 | #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) | |
| cost-diff | 1024 | (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) |
| 3 896× | lower-*.f32 |
| 3 886× | lower-*.f64 |
| 3 168× | lower-fma.f32 |
| 3 164× | lower-fma.f64 |
| 1 752× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 192 |
| 0 | 46 | 191 |
| 1 | 105 | 191 |
| 2 | 236 | 182 |
| 3 | 650 | 180 |
| 4 | 2328 | 180 |
| 5 | 4955 | 180 |
| 6 | 6810 | 180 |
| 0 | 8237 | 171 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) |
(neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) |
(fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) |
(/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) |
(*.f64 (*.f64 y #s(literal -3 binary64)) x) |
(*.f64 y #s(literal -3 binary64)) |
y |
#s(literal -3 binary64) |
x |
z |
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) |
(*.f64 y y) |
y |
#s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) |
(*.f64 (/.f64 x y) #s(literal 3 binary64)) |
(/.f64 x y) |
x |
#s(literal 3 binary64) |
(neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))) |
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) |
z |
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) |
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x z))) |
(neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) |
(neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x z)) |
(fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) |
(fma.f64 (*.f64 #s(literal -3 binary64) y) x z) |
(/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) |
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) x) z) |
(*.f64 (*.f64 y #s(literal -3 binary64)) x) |
(*.f64 (*.f64 #s(literal -3 binary64) y) x) |
(*.f64 y #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) y) |
y |
#s(literal -3 binary64) |
x |
z |
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) |
(fma.f64 (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) z (*.f64 #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 y y))) |
(*.f64 y y) |
y |
#s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) |
(*.f64 (/.f64 x y) #s(literal 3 binary64)) |
(/.f64 x y) |
x |
#s(literal 3 binary64) |
(neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) |
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) |
z |
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.9897291048045682 | (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) | |
| accuracy | 15.484962330681043 | (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) | |
| accuracy | 26.907564677583128 | #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) | |
| accuracy | 31.813293669004782 | #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) | |
| accuracy | 0 | #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) | |
| accuracy | 0.2421875 | (*.f64 (*.f64 y #s(literal -3 binary64)) x) | |
| accuracy | 4.508152173627124 | (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) | |
| accuracy | 5.472461924990512 | (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) |
| 48.0ms | 256× | 0 | valid |
Compiled 165 to 29 computations (82.4% saved)
ival-mult: 23.0ms (64.5% of total)ival-div: 7.0ms (19.6% of total)ival-add: 3.0ms (8.4% of total)ival-neg: 2.0ms (5.6% 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 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) (patch (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) (patch (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) (patch (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y #s(literal -3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal -3 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) (patch (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) (patch (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) (patch (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) (patch (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) (patch (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 z) (* -3 (* x y))) (taylor 0 z) (#s(alt (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) (patch (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 z) (* -3 (* x y))) (taylor 0 z) (#s(alt (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) (patch (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 z) (* -3 (* x y))) (taylor 0 z) (#s(alt (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) (patch (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (/ (* x y) z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) (patch (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (/ (* x y) z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) (patch (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (/ (* x y) z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) (patch (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (/ (* x y) z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) (patch (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) (patch (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) (patch (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) #<representation binary64>) () ())) ()) |
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#s(alt (* -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))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (/ z x) (* 3 y)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) (patch (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z x) (* 3 y)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) (patch (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (/ (* x y) z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) (patch (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (/ (* x y) z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) (patch (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (/ (* x y) z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) (patch (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (/ (* x y) z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) (patch (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -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))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -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))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ x y)) (taylor -inf x) (#s(alt #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z (* x (pow y 2))) (* 3 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (* 3 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (* x (pow y 4)))) (* 1/3 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (* 3 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal -3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal -3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal -3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal -3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal -3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal -3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal -3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal -3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ z (* x y))) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -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)) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -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)) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 46.0ms | y | @ | 0 | ((+ (* (/ (* (* y -3) x) z) z) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg (+ (* (/ (* (* y -3) x) z) z) z)) (/ (* (* y -3) x) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* (/ x y) 3) (* (* y -3) x) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 2.0ms | y | @ | inf | ((+ (* (/ (* (* y -3) x) z) z) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg (+ (* (/ (* (* y -3) x) z) z) z)) (/ (* (* y -3) x) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* (/ x y) 3) (* (* y -3) x) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 2.0ms | y | @ | -inf | ((+ (* (/ (* (* y -3) x) z) z) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg (+ (* (/ (* (* y -3) x) z) z) z)) (/ (* (* y -3) x) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* (/ x y) 3) (* (* y -3) x) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 1.0ms | x | @ | -inf | ((+ (* (/ (* (* y -3) x) z) z) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg (+ (* (/ (* (* y -3) x) z) z) z)) (/ (* (* y -3) x) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* (/ x y) 3) (* (* y -3) x) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 1.0ms | z | @ | 0 | ((+ (* (/ (* (* y -3) x) z) z) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg (+ (* (/ (* (* y -3) x) z) z) z)) (/ (* (* y -3) x) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* (/ x y) 3) (* (* y -3) x) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 1× | egg-herbie |
| 8 502× | lower-fma.f64 |
| 8 502× | lower-fma.f32 |
| 5 302× | lower-*.f64 |
| 5 302× | lower-*.f32 |
| 3 020× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 715 | 4992 |
| 1 | 2207 | 4417 |
| 2 | 7315 | 4345 |
| 0 | 8120 | 4157 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -3 (* x y)) |
(+ z (* -3 (* x y))) |
(+ z (* -3 (* x y))) |
(+ z (* -3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(- (* -1 z) (* -3 (* x y))) |
(- (* -1 z) (* -3 (* x y))) |
(- (* -1 z) (* -3 (* x y))) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (/ x y)) |
(+ (* -1 (/ z (pow y 2))) (* 3 (/ x y))) |
(+ (* 3 (/ x y)) (* z (- (* 1/3 (/ z (* x (pow y 3)))) (/ 1 (pow y 2))))) |
(+ (* 3 (/ x y)) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 4)))) (* 1/3 (/ 1 (* x (pow y 3)))))) (/ 1 (pow y 2))))) |
(* 1/3 (/ z (* x y))) |
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) |
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
(* z (+ (* 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))))) |
(* 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 (* -3 (/ (* x y) z)))) |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
(* -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) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -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)) |
(* 9 (/ (pow x 2) z)) |
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (* 9 (pow x 2))) z) |
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (+ (* 9 (pow x 2)) (* 81 (/ (* (pow x 4) (pow y 2)) (pow z 2))))) z) |
(/ (+ (* -243 (/ (* (pow x 5) (pow y 3)) (pow z 3))) (+ (* -27 (/ (* (pow x 3) y) z)) (+ (* 9 (pow x 2)) (* 81 (/ (* (pow x 4) (pow y 2)) (pow z 2)))))) z) |
1 |
(+ 1 (* -3 (/ (* x y) z))) |
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) 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 |
(* 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 (- (* 3 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* 3 (/ (* x y) z)) 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))))) |
(* -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) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -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))))) |
(* 9 (/ (pow x 2) z)) |
(* -1 (/ (+ (* -9 (pow x 2)) (* 27 (/ (* (pow x 3) y) z))) z)) |
(* -1 (/ (+ (* -9 (pow x 2)) (* -1 (/ (+ (* -27 (* (pow x 3) y)) (* 81 (/ (* (pow x 4) (pow y 2)) z))) z))) z)) |
(* -1 (/ (+ (* -9 (pow x 2)) (* -1 (/ (+ (* -27 (* (pow x 3) y)) (* -1 (/ (+ (* -81 (* (pow x 4) (pow y 2))) (* 243 (/ (* (pow x 5) (pow y 3)) z))) z))) z))) z)) |
1 |
(+ 1 (* -3 (/ (* x y) z))) |
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -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 (* -3 (* x y))) |
(+ z (* -3 (* x y))) |
(* -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) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -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) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 9 (/ (pow x 2) z)) |
(+ (* -27 (/ (* (pow x 3) y) (pow z 2))) (* 9 (/ (pow x 2) z))) |
(+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 81 (/ (* (pow x 4) y) (pow z 3)))))) |
(+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* y (+ (* -243 (/ (* (pow x 5) y) (pow z 4))) (* 81 (/ (pow x 4) (pow z 3)))))))) |
(* 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 |
(+ 1 (* -3 (/ (* x y) z))) |
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z))))) |
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z))))) |
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)))) |
(* -3 (* x y)) |
(* y (+ (* -3 x) (/ z y))) |
(* y (+ (* -3 x) (/ z y))) |
(* y (+ (* -3 x) (/ z y))) |
(* 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)) |
(* y (- (* -1 (/ z y)) (* -3 x))) |
(* y (- (* -1 (/ z y)) (* -3 x))) |
(* y (- (* -1 (/ z y)) (* -3 x))) |
(* -3 (/ (* x y) 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)) (+ (* -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))))))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 3 (/ x y)) |
(/ (+ (* -1 (/ z y)) (* 3 x)) y) |
(/ (+ (* -1 (/ z y)) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))) y) |
(/ (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 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 (/ z (* x y))) |
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y) |
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y) |
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y) |
(* 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) |
(* -3 (* x y)) |
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x)))) |
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x)))) |
(* -1 (* y (+ (* -1 (/ z y)) (* 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 (* y (- (/ z y) (* 3 x)))) |
(* -1 (* y (- (/ z y) (* 3 x)))) |
(* -1 (* y (- (/ z y) (* 3 x)))) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* 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))))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 3 (/ x y)) |
(* -1 (/ (+ (* -3 x) (/ z y)) y)) |
(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* 1/3 (/ (pow z 2) (* x y)))) y))) y)) |
(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))) y))) 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 (/ z (* x y))) |
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) 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)) |
z |
(+ z (* -3 (* x y))) |
(+ z (* -3 (* x y))) |
(+ z (* -3 (* 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) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -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) |
(* 9 (/ (pow x 2) z)) |
(* (pow x 2) (+ (* -27 (/ (* x y) (pow z 2))) (* 9 (/ 1 z)))) |
(* (pow x 2) (+ (* x (+ (* -27 (/ y (pow z 2))) (* 81 (/ (* x (pow y 2)) (pow z 3))))) (* 9 (/ 1 z)))) |
(* (pow x 2) (+ (* x (+ (* -27 (/ y (pow z 2))) (* x (+ (* -243 (/ (* x (pow y 3)) (pow z 4))) (* 81 (/ (pow y 2) (pow z 3))))))) (* 9 (/ 1 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)) |
1 |
(+ 1 (* -3 (/ (* x y) z))) |
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z))))) |
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z))))) |
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)))) |
(* -3 (* x y)) |
(* x (+ (* -3 y) (/ z x))) |
(* x (+ (* -3 y) (/ z x))) |
(* x (+ (* -3 y) (/ z x))) |
(* 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)) |
(* x (- (* -1 (/ z x)) (* -3 y))) |
(* x (- (* -1 (/ z x)) (* -3 y))) |
(* x (- (* -1 (/ z x)) (* -3 y))) |
(* -3 (/ (* x y) 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)) (+ (* -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)) |
(* x (+ (* -1 (/ z (* x (pow y 2)))) (* 3 (/ 1 y)))) |
(* x (- (+ (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 3 (/ 1 y))) (/ z (* x (pow y 2))))) |
(* x (- (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 3 (/ 1 y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2)))))) |
(* 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 (/ z (* x y))) |
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x) |
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x) |
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x) |
(* 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) |
(* -3 (* x y)) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
(* -1 (* x (+ (* -1 (/ z x)) (* 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))))) |
(* 3 (* x y)) |
(* -1 (* x (- (/ z x) (* 3 y)))) |
(* -1 (* x (- (/ z x) (* 3 y)))) |
(* -1 (* x (- (/ z x) (* 3 y)))) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* -3 (/ (* x y) z)) |
(* 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))))) |
(* 3 (/ x y)) |
(* -1 (* x (- (/ z (* x (pow y 2))) (* 3 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (* 3 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (* x (pow y 4)))) (* 1/3 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (* 3 (/ 1 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 (/ z (* x y))) |
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) 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)) |
| Outputs |
|---|
(* -3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -3 binary64)) |
(+ z (* -3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal -3 binary64) z) |
(+ z (* -3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal -3 binary64) z) |
(+ z (* -3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal -3 binary64) z) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(- (* -1 z) (* -3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(- (* -1 z) (* -3 (* x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
(- (* -1 z) (* -3 (* x y))) |
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(*.f64 (neg.f64 x) (fma.f64 y #s(literal -3 binary64) (/.f64 (neg.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 (neg.f64 x) (-.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) z) x))) |
(* 3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 3 binary64)) |
(* -1 (* x (- (/ z (* x (pow y 2))) (* 3 (/ 1 y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z (*.f64 y x)) y) (/.f64 #s(literal 3 binary64) y))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (* 3 (/ 1 y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -3 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 z (/.f64 z x)) (/.f64 (/.f64 (neg.f64 z) y) y)) x))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (* x (pow y 4)))) (* 1/3 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (* 3 (/ 1 y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) y) y) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) z) z) (pow.f64 y #s(literal 3 binary64)))) x)) x))) |
(* 3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 3 binary64)) |
(* 3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 3 binary64)) |
(* 3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 3 binary64)) |
(* 3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 3 binary64)) |
(* -3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -3 binary64)) |
(* -3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -3 binary64)) |
(* -3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -3 binary64)) |
(* -3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -3 binary64)) |
(* 1/3 (/ z (* x y))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) |
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (*.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal 1/9 binary64))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal -1/9 binary64))) (neg.f64 x))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (fma.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(*.f64 (*.f64 z (/.f64 z (*.f64 y x))) #s(literal 1/3 binary64)) |
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64))) (neg.f64 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)) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1/27 binary64) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 x))) (neg.f64 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)) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) x) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x)) |
| 7 650× | lower-fma.f32 |
| 7 646× | lower-fma.f64 |
| 4 338× | lower-*.f32 |
| 4 328× | lower-*.f64 |
| 4 038× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 163 |
| 0 | 46 | 162 |
| 1 | 177 | 154 |
| 2 | 1281 | 131 |
| 0 | 8713 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) |
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) |
(neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) |
(/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) |
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) |
(*.f64 y y) |
#s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) |
(*.f64 (/.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 y #s(literal -3 binary64)) x) |
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) |
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (/.f64 x z) (*.f64 #s(literal -3 binary64) y) #s(literal 1 binary64)) z) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))))))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 z (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -3 binary64) y) z)) |
(*.f64 z (fma.f64 (/.f64 x z) (*.f64 #s(literal -3 binary64) y) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -3 binary64) y) z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))))) (+.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (fma.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (*.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) z) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z z)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (*.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)) (*.f64 z z))) (*.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) z))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64))) (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -3 binary64) y) z)))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y)))))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))) (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -3 binary64) y) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -3 binary64) y) z))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64) z) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 y x) z)) z) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 x #s(literal -3 binary64))) z) (/.f64 #s(literal -1 binary64) z) z) |
(fma.f64 (*.f64 z (*.f64 (neg.f64 y) (*.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal -1 binary64) z) z) |
(fma.f64 (*.f64 x y) #s(literal -3 binary64) z) |
(fma.f64 (*.f64 z (*.f64 #s(literal -3 binary64) y)) (/.f64 x z) z) |
(fma.f64 (neg.f64 (*.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y)))) (/.f64 #s(literal -1 binary64) z) z) |
(fma.f64 (*.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))) (pow.f64 z #s(literal -1 binary64)) z) |
(fma.f64 (*.f64 x #s(literal -3 binary64)) y z) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (*.f64 x #s(literal -3 binary64))) z) |
(fma.f64 #s(literal -1 binary64) (neg.f64 z) (*.f64 x (*.f64 #s(literal -3 binary64) y))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))) z) |
(fma.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))))) |
(fma.f64 #s(literal 1 binary64) z (*.f64 x (*.f64 #s(literal -3 binary64) y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -3 binary64) y)) z) |
(fma.f64 (/.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) z) z z) |
(fma.f64 z #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -3 binary64) y))) |
(fma.f64 z (/.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) z) z) |
(fma.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 1 binary64) z) |
(fma.f64 x (*.f64 #s(literal -3 binary64) y) z) |
(fma.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 (/.f64 x z) z) z) |
(fma.f64 (*.f64 #s(literal -3 binary64) y) x z) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(fma.f64 y (*.f64 x #s(literal -3 binary64)) z) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y)))) (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))))) |
(+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 #s(literal -3 binary64) y) z)) |
(+.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))) |
(+.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) z) |
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(*.f64 (neg.f64 (fma.f64 (/.f64 x z) (*.f64 #s(literal -3 binary64) y) #s(literal 1 binary64))) z) |
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(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z)) |
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z) #s(literal 2 binary64))) (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))) |
(neg.f64 (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z)) |
Compiled 13 415 to 1 894 computations (85.9% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 649 | 1 | 650 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 8 | 8 |
| Total | 651 | 9 | 660 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
| ✓ | 99.8% | (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
| ✓ | 99.9% | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| ✓ | 50.8% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ✓ | 50.8% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
| ✓ | 50.9% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) |
| ✓ | 50.0% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
| ✓ | 2.3% | #s(approx (- (* (* x 3) y) z) z) |
| 88.4% | #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (*.f64 y (*.f64 #s(literal -3 binary64) (/.f64 x z))) z z))) |
Compiled 231 to 127 computations (45% saved)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) z) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (*.f64 y (*.f64 #s(literal -3 binary64) (/.f64 x z))) z z))) |
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) |
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) |
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) |
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) |
| Outputs |
|---|
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
6 calls:
| 8.0ms | y |
| 8.0ms | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 5.0ms | z |
| 5.0ms | x |
| 5.0ms | (*.f64 x #s(literal 3 binary64)) |
| 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 18 to 27 computations (-50% saved)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) z) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
6 calls:
| 5.0ms | y |
| 3.0ms | x |
| 2.0ms | z |
| 2.0ms | (*.f64 x #s(literal 3 binary64)) |
| 2.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.7% | 3 | x |
| 74.5% | 3 | y |
| 71.5% | 3 | z |
| 64.1% | 3 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 81.7% | 3 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 77.7% | 3 | (*.f64 x #s(literal 3 binary64)) |
Compiled 18 to 27 computations (-50% saved)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) z) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
| Outputs |
|---|
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) |
1 calls:
| 2.0ms | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 3 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
Compiled 5 to 6 computations (-20% saved)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) z) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
| Outputs |
|---|
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
6 calls:
| 6.0ms | z |
| 2.0ms | x |
| 2.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 2.0ms | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 2.0ms | (*.f64 x #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.0% | 1 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 50.0% | 1 | z |
| 50.0% | 1 | y |
| 50.0% | 1 | x |
| 50.0% | 1 | (*.f64 x #s(literal 3 binary64)) |
| 50.0% | 1 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
Compiled 18 to 27 computations (-50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) z) |
| Outputs |
|---|
#s(approx (- (* (* x 3) y) z) z) |
6 calls:
| 1.0ms | (*.f64 x #s(literal 3 binary64)) |
| 1.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.3% | 1 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 2.3% | 1 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 2.3% | 1 | x |
| 2.3% | 1 | y |
| 2.3% | 1 | (*.f64 x #s(literal 3 binary64)) |
| 2.3% | 1 | z |
Compiled 18 to 27 computations (-50% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.1480559581231e-90 | 5.007099440170848e-75 |
| 0.0ms | -4.555087996873857e+73 | -6.6456007509721216e+69 |
Compiled 10 to 13 computations (-30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.1480559581231e-90 | 5.007099440170848e-75 |
| 0.0ms | -4.555087996873857e+73 | -6.6456007509721216e+69 |
Compiled 10 to 13 computations (-30% saved)
| 1× | egg-herbie |
| 10× | *-commutative-binary64-*.f64 |
| 4× | +-commutative-binary64-+.f64 |
| 4× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 2× | neg-sub0-binary64--.f64-neg.f64 |
| 2× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 130 |
| 1 | 36 | 130 |
| 2 | 39 | 130 |
| 3 | 40 | 130 |
| 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 -39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)))) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) z) |
| Outputs |
|---|
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
(-.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) z) |
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(if (<=.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal -39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 y (*.f64 #s(literal 3 binary64) x))) (if (<=.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)))) |
(if (<=.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal -39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 y (*.f64 #s(literal 3 binary64) x))) (if (<=.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 y (*.f64 #s(literal 3 binary64) x))))) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) z) |
| 4 098× | lower-fma.f32 |
| 4 090× | lower-fma.f64 |
| 3 552× | lower-fma.f64 |
| 3 552× | lower-fma.f32 |
| 3 124× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 115 |
| 0 | 45 | 95 |
| 1 | 168 | 95 |
| 2 | 954 | 88 |
| 0 | 9453 | 88 |
| 0 | 38 | 378 |
| 1 | 118 | 378 |
| 2 | 334 | 378 |
| 3 | 838 | 378 |
| 4 | 2379 | 378 |
| 5 | 4087 | 378 |
| 6 | 6030 | 378 |
| 7 | 7461 | 378 |
| 8 | 7976 | 378 |
| 0 | 8001 | 378 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 112 to 75 computations (33% saved)
Compiled 204 to 100 computations (51% saved)
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