
Time bar (total: 6.8s)
| 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)
| 437.0ms | 8 256× | 0 | valid |
ival-mult: 154.0ms (66.6% of total)ival-sub: 62.0ms (26.8% of total)ival-true: 7.0ms (3% of total)exact: 5.0ms (2.2% of total)ival-assert: 4.0ms (1.7% 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 |
| 27.0ms | 512× | 0 | valid |
Compiled 68 to 32 computations (52.9% saved)
ival-mult: 8.0ms (72.2% of total)ival-sub: 2.0ms (18% 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 |
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 |
|---|---|---|
| ▶ | 99.8% | (-.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) |
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 | 0.22265625 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 17.0ms | 256× | 0 | valid |
Compiled 40 to 16 computations (60% saved)
ival-mult: 6.0ms (79.3% of total)ival-sub: 1.0ms (13.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.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 |
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)) |
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 |
|---|
#<batchref> |
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Compiled 10 183 to 716 computations (93% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 323 | 5 | 328 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 323 | 6 | 329 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.2% | (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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))))) |
| ▶ | 63.4% | (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 #s(literal 3 binary64)) x (neg.f64 z)) |
| ✓ | 99.8% | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| ▶ | 46.7% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ▶ | 55.4% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
Compiled 151 to 103 computations (31.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (*.f64 y (*.f64 #s(literal 3 binary64) x)) | |
| cost-diff | 0 | (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) | |
| cost-diff | 832 | (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 9 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) | |
| cost-diff | 512 | (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 | (*.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 #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 242 |
| 0 | 51 | 240 |
| 1 | 102 | 240 |
| 2 | 225 | 240 |
| 3 | 677 | 240 |
| 4 | 2041 | 240 |
| 5 | 3860 | 240 |
| 6 | 5563 | 234 |
| 0 | 8159 | 232 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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 |
#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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
#s(literal 9 binary64) |
(*.f64 x x) |
x |
y |
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(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)) |
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) |
(*.f64 y (*.f64 #s(literal 3 binary64) x)) |
y |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(*.f64 y #s(literal 3 binary64)) |
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z) |
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 #s(literal 3 binary64)) x (neg.f64 z)) |
(fma.f64 x (*.f64 #s(literal 3 binary64) 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 |
#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 x #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(literal 3 binary64) |
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) (fma.f64 z z (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y) y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
#s(literal 9 binary64) |
(*.f64 x x) |
x |
y |
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(/.f64 y (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) |
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 x #s(literal 3 binary64)) |
#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 x #s(literal 3 binary64)) y z)) (neg.f64 z)) |
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) |
(*.f64 (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) z) |
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) |
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) (fma.f64 z z (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y) y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) |
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) x) |
(*.f64 y (*.f64 #s(literal 3 binary64) x)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
y |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
x |
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(*.f64 (/.f64 y (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) #s(literal 3 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z) |
z |
(neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))) |
(*.f64 (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) (neg.f64 z)) |
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) |
(*.f64 (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) z) |
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.561983013627318 | (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) | |
| accuracy | 3.484354294734999 | (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) | |
| accuracy | 7.9131785439837 | (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) | |
| accuracy | 8.848771014673044 | (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 | 3.484354294734999 | (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) | |
| accuracy | 7.780498944189938 | (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) | |
| accuracy | 8.406112466060579 | (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) | |
| accuracy | 8.854298504904602 | (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 | 0 | (*.f64 y x) | |
| accuracy | 0.23046875 | (*.f64 (*.f64 y x) #s(literal 3 binary64)) | |
| accuracy | 34.03351728118684 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 28.562670674704467 | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.10546875 | (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
| 72.0ms | 256× | 0 | valid |
Compiled 480 to 58 computations (87.9% saved)
ival-mult: 23.0ms (46.4% of total)ival-div: 18.0ms (36.3% of total)ival-add: 5.0ms (10.1% of total)ival-neg: 2.0ms (4% of total)ival-sub: 1.0ms (2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.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 (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 (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (patch (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) #<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 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<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 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (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 #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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (/ 1/3 x) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x))) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 3)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x))) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) 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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* 1/9 (/ z (* x y))) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 2)))) (* 1/9 (/ z y))) x)) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 3)))) (* 1/27 (/ (pow z 2) (pow y 2)))) x)) (* 1/9 (/ z y))) x)) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<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 x) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (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 | |
|---|---|---|---|---|
| 61.0ms | z | @ | 0 | ((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 9.0ms | y | @ | -inf | ((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 4.0ms | y | @ | inf | ((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 4.0ms | x | @ | inf | ((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 4.0ms | x | @ | -inf | ((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 834 | 6296 |
| 1 | 2653 | 5707 |
| 0 | 8432 | 5473 |
| 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))) |
(/ 1/3 x) |
(+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) |
(+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x))) |
(+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 3)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x))) |
(* 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 x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(* 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 (- (+ (* -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 (- (+ (* -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)) |
(/ y z) |
(/ (+ y (* -3 (/ (* x (pow y 2)) z))) z) |
(/ (- (+ y (* 9 (/ (* (pow x 2) (pow y 3)) (pow z 2)))) (* 3 (/ (* x (pow y 2)) z))) z) |
(/ (- (+ y (* -27 (/ (* (pow x 3) (pow y 4)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 3)) (pow z 2))) (* 3 (/ (* x (pow y 2)) z)))) 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)))) |
(* 3 (/ y z)) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z) |
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z) |
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 (* -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 (* -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))))) |
(/ y z) |
(* -1 (/ (+ (* -1 y) (* 3 (/ (* x (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 3)) z)) (* 3 (* x (pow y 2)))) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 4)) z)) (* 9 (* (pow x 2) (pow y 3)))) z)) (* 3 (* x (pow y 2)))) 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))) |
(* 3 (/ y z)) |
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z)) |
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z)) |
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) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 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)) |
(* x y) |
(* x y) |
(* x y) |
(* 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) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) 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) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(/ y z) |
(* y (+ (* -3 (/ (* x y) (pow z 2))) (/ 1 z))) |
(* y (+ (* y (- (* 9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z))) |
(* y (+ (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 4))) (* -9 (/ (pow x 2) (pow z 3))))) (* 3 (/ x (pow z 2))))) (/ 1 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))))) |
(* 3 (/ y z)) |
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z)))) |
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z)))) |
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z)))) |
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))) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 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)) |
(* x y) |
(* x y) |
(* x y) |
(* 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))))))) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) 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 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(/ 1/3 x) |
(+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) |
(- (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 x))) (* 1/9 (/ z (* (pow x 2) y)))) |
(- (+ (* -1/81 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 x))) (+ (* -1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/9 (/ z (* (pow x 2) 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 x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y)))) |
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) y))))) |
(* 1/3 (/ (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)))) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 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)) |
(* x y) |
(* x y) |
(* x y) |
(* 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))))) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) 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 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(/ 1/3 x) |
(+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (- (* -1/27 (/ (pow z 2) (* (pow x 3) y))) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* (pow x 4) y))) (* -1/27 (/ (pow z 2) (pow x 3)))) y)) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) |
(* 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 x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x)) |
(* 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) |
(* -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)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z) |
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z) |
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(/ y z) |
(+ (* -3 (/ (* x (pow y 2)) (pow z 2))) (/ y z)) |
(+ (* x (- (* 9 (/ (* x (pow y 3)) (pow z 3))) (* 3 (/ (pow y 2) (pow z 2))))) (/ y z)) |
(+ (* x (- (* x (- (* -27 (/ (* x (pow y 4)) (pow z 4))) (* -9 (/ (pow y 3) (pow z 3))))) (* 3 (/ (pow y 2) (pow z 2))))) (/ 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))))) |
(* 3 (/ y z)) |
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z))) |
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3)))))) |
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3)))))))) |
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))) |
(* 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)) |
(* x y) |
(* x y) |
(* x y) |
(* 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))))))) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 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 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(/ 1/3 x) |
(/ (+ 1/3 (* -1/9 (/ z (* x y)))) x) |
(/ (- (+ 1/3 (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 2))))) (* 1/9 (/ z (* x y)))) x) |
(/ (- (+ 1/3 (* -1/81 (/ (pow z 3) (* (pow x 3) (pow y 3))))) (+ (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* 1/9 (/ z (* x y))))) x) |
(* 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 x) |
(/ (+ 1 (* -1/3 (/ z (* x y)))) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x) |
(* 1/3 (/ (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)))) |
(* 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)) |
(* x y) |
(* x y) |
(* x y) |
(* 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))))) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 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 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(/ 1/3 x) |
(* -1 (/ (- (* 1/9 (/ z (* x y))) 1/3) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 2)))) (* 1/9 (/ z y))) x)) 1/3) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 3)))) (* 1/27 (/ (pow z 2) (pow y 2)))) x)) (* 1/9 (/ z y))) x)) 1/3) x)) |
(* 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 x) |
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) |
(* 1/3 (/ (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 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (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 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) |
(fma.f64 (/.f64 z (*.f64 (*.f64 x x) y)) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 y y)) (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 3)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1/3 binary64) x)) |
(* 1/3 (/ z (* x y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) y) z) |
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y) #s(literal -1/9 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) 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 x x) y) y))) z (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) 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 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 x x) y) y))) z (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) z) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) x)) |
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1 binary64) x)) |
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))) z (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) y) z) z) |
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y) #s(literal -1/9 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) z) z) |
(* (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 x x) y) y))) z (/.f64 (/.f64 #s(literal 1/3 binary64) 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))))) |
(*.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 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 x x) y) y))) z (/.f64 (/.f64 #s(literal 1/3 binary64) x) y))) |
(* -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 (- (+ (* -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 (fma.f64 (/.f64 #s(literal 9 binary64) z) (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal -9 binary64) (*.f64 (*.f64 y x) #s(literal 3 binary64))) 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)) |
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal -9 binary64) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z) (fma.f64 (/.f64 #s(literal 9 binary64) z) (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 27 binary64) (pow.f64 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 (- (+ (* -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 (fma.f64 (/.f64 #s(literal 9 binary64) z) (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal -9 binary64) (*.f64 (*.f64 y x) #s(literal 3 binary64))) 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)) |
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal -9 binary64) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z) (fma.f64 (/.f64 #s(literal 9 binary64) z) (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1 binary64)) z) |
(/ y z) |
(/.f64 y z) |
(/ (+ y (* -3 (/ (* x (pow y 2)) z))) z) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) z) #s(literal -3 binary64) y) z) |
(/ (- (+ y (* 9 (/ (* (pow x 2) (pow y 3)) (pow z 2)))) (* 3 (/ (* x (pow y 2)) z))) z) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) x (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) z) y) z) |
(/ (- (+ y (* -27 (/ (* (pow x 3) (pow y 4)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 3)) (pow z 2))) (* 3 (/ (* x (pow y 2)) z)))) z) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (/.f64 (*.f64 x x) z)) #s(literal -9 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y y) x) z) #s(literal 3 binary64)))) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -3 (/ (* x y) z))) |
(fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) |
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))) |
(+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (*.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal 9 binary64))) z) #s(literal 1 binary64)) |
(- (+ 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)))) |
(-.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -27 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal -9 binary64) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z)) |
(* 3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 3 binary64)) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) z) #s(literal -9 binary64) (*.f64 y #s(literal 3 binary64))) z) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z) |
(/.f64 (fma.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 y (/.f64 y z)) (fma.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (/.f64 (*.f64 x x) z)) #s(literal 27 binary64) (*.f64 y #s(literal 3 binary64)))) z) |
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z) |
(/.f64 (fma.f64 (*.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 y (/.f64 y z)) (fma.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (/.f64 (*.f64 x x) z)) #s(literal 27 binary64) (*.f64 y #s(literal 3 binary64))))) z) |
z |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) z) |
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))) |
(+.f64 z (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (*.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal 9 binary64))) z) 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))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -27 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal -9 binary64) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64))) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64))) |
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(*.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 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 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))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.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 #s(literal -3 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) z) x))) |
(* 9 (* (pow x 2) y)) |
(*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) y)) |
(* 9 (* (pow x 2) y)) |
(*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) y)) |
(* 9 (* (pow x 2) y)) |
(*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) y)) |
(* 9 (* (pow x 2) y)) |
(*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) y)) |
(* 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)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 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))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.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 #s(literal -3 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) z) x))) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x 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)) |
(* 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)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(* -1 (/ (- (* 1/9 (/ z (* x y))) 1/3) x)) |
(/.f64 (fma.f64 (/.f64 z (*.f64 y x)) #s(literal -1/9 binary64) #s(literal 1/3 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 2)))) (* 1/9 (/ z y))) x)) 1/3) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/9 binary64) (*.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal 1/27 binary64))) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 3)))) (* 1/27 (/ (pow z 2) (pow y 2)))) x)) (* 1/9 (/ z y))) x)) 1/3) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/27 binary64))) (neg.f64 x))) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) (neg.f64 x)) |
(* 1/3 (/ z (* x y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) y) z) |
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) 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))) (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 (/.f64 z y) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (/.f64 (*.f64 z (/.f64 z 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 (-.f64 (*.f64 (/.f64 z y) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) y) (*.f64 z (/.f64 z y)) (/.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 (*.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x))) x)) (neg.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x)) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) y) z #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) |
(/.f64 (fma.f64 (/.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) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64))) (neg.f64 x))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) y) z) z) |
(* -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 (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 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/27 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 165 |
| 0 | 51 | 143 |
| 1 | 186 | 136 |
| 2 | 1240 | 136 |
| 0 | 8544 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(*.f64 y #s(literal 3 binary64)) |
(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)) |
(*.f64 y x) |
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) |
(*.f64 y (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(/.f64 (*.f64 y #s(literal 3 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))) |
| Outputs |
|---|
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Compiled 81 716 to 3 668 computations (95.5% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 097 | 4 | 2 101 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 0 | 1 |
| Total | 2 100 | 7 | 2 107 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.9% | (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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))))) |
| ▶ | 63.1% | (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 #s(literal 3 binary64)) x (neg.f64 z)) |
| ✓ | 46.7% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ▶ | 46.7% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
| ▶ | 46.7% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
| ✓ | 55.4% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
Compiled 72 to 64 computations (11.1% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (*.f64 y (*.f64 #s(literal 3 binary64) x)) | |
| cost-diff | 0 | (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 9 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) | |
| cost-diff | 0 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) | |
| 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 255 |
| 0 | 54 | 253 |
| 1 | 102 | 253 |
| 2 | 215 | 253 |
| 3 | 643 | 253 |
| 4 | 1849 | 253 |
| 5 | 3231 | 253 |
| 6 | 4589 | 253 |
| 7 | 5630 | 253 |
| 8 | 7035 | 253 |
| 9 | 7684 | 253 |
| 0 | 8006 | 253 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
y |
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
#s(literal 9 binary64) |
(*.f64 x x) |
x |
y |
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(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) |
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) |
(*.f64 y (*.f64 #s(literal 3 binary64) x)) |
y |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(*.f64 y #s(literal 3 binary64)) |
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z) |
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 (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
y |
x |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
y |
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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))))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -9 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) x)) (*.f64 y y) (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z))) |
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
#s(literal 9 binary64) |
(*.f64 x x) |
x |
y |
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(/.f64 y (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) |
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 x #s(literal 3 binary64)) |
#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) |
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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))))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -9 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) x)) (*.f64 y y) (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z))) |
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) |
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) x) |
(*.f64 y (*.f64 #s(literal 3 binary64) x)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
y |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
x |
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(*.f64 (/.f64 y (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) #s(literal 3 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z) |
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 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.561983013627318 | (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) | |
| accuracy | 7.9131785439837 | (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) | |
| accuracy | 8.848771014673044 | (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 | 28.248785203136144 | #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) | |
| accuracy | 7.780498944189938 | (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) | |
| accuracy | 8.406112466060579 | (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) | |
| accuracy | 8.854298504904602 | (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 | 28.248785203136144 | #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.22265625 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) | |
| accuracy | 34.03351728118684 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.21875 | (*.f64 (*.f64 #s(literal 3 binary64) y) x) | |
| accuracy | 34.03351728118684 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
| 54.0ms | 256× | 0 | valid |
Compiled 422 to 57 computations (86.5% saved)
ival-mult: 22.0ms (60.7% of total)ival-add: 6.0ms (16.6% of total)ival-div: 5.0ms (13.8% of total)ival-sub: 1.0ms (2.8% of total)ival-neg: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (* (* x 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 #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (patch (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) #<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 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #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 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<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 #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 (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#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 (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#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 (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#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 (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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>) () ())) ()) |
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#s(alt (* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (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 #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 | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | ((- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 2.0ms | x | @ | -inf | ((- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 2.0ms | x | @ | inf | ((- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 1.0ms | y | @ | -inf | ((- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 1.0ms | x | @ | 0 | ((- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 834 | 6071 |
| 1 | 2653 | 5494 |
| 0 | 8429 | 5266 |
| 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))) |
(* 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))) |
(* 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 x) |
(+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) |
(+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x))) |
(+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 3)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x))) |
(/ 1 x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(* 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) |
(* 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)) |
(* -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 |
(+ 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)))) |
(/ y z) |
(/ (+ y (* -3 (/ (* x (pow y 2)) z))) z) |
(/ (- (+ y (* 9 (/ (* (pow x 2) (pow y 3)) (pow z 2)))) (* 3 (/ (* x (pow y 2)) z))) z) |
(/ (- (+ y (* -27 (/ (* (pow x 3) (pow y 4)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 3)) (pow z 2))) (* 3 (/ (* x (pow y 2)) z)))) z) |
(* 3 (/ y z)) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z) |
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z) |
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 (* -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))))) |
(* -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 |
(+ 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))) |
(/ y z) |
(* -1 (/ (+ (* -1 y) (* 3 (/ (* x (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 3)) z)) (* 3 (* x (pow y 2)))) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 4)) z)) (* 9 (* (pow x 2) (pow y 3)))) z)) (* 3 (* x (pow y 2)))) z))) z)) |
(* 3 (/ y z)) |
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z)) |
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z)) |
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) |
(* 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) |
(- (* 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) |
(- (* 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) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) 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) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
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))))) |
(/ y z) |
(* y (+ (* -3 (/ (* x y) (pow z 2))) (/ 1 z))) |
(* y (+ (* y (- (* 9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z))) |
(* y (+ (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 4))) (* -9 (/ (pow x 2) (pow z 3))))) (* 3 (/ x (pow z 2))))) (/ 1 z))) |
(* 3 (/ y z)) |
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z)))) |
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z)))) |
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z)))) |
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))) |
(* 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)) (* 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)) (+ (* -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))))))) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) 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 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 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 x) |
(+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) |
(- (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 x))) (* 1/9 (/ z (* (pow x 2) y)))) |
(- (+ (* -1/81 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 x))) (+ (* -1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/9 (/ z (* (pow x 2) y))))) |
(/ 1 x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y)))) |
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) y))))) |
(* 1/3 (/ (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)))) |
(* 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) (/ 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) (* -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))))) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) 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 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 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 x) |
(+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (- (* -1/27 (/ (pow z 2) (* (pow x 3) y))) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* (pow x 4) y))) (* -1/27 (/ (pow z 2) (pow x 3)))) y)) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) |
(/ 1 x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x)) |
(* 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) |
(* 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) |
(* -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) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z) |
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
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))))) |
(/ y z) |
(+ (* -3 (/ (* x (pow y 2)) (pow z 2))) (/ y z)) |
(+ (* x (- (* 9 (/ (* x (pow y 3)) (pow z 3))) (* 3 (/ (pow y 2) (pow z 2))))) (/ y z)) |
(+ (* x (- (* x (- (* -27 (/ (* x (pow y 4)) (pow z 4))) (* -9 (/ (pow y 3) (pow z 3))))) (* 3 (/ (pow y 2) (pow z 2))))) (/ y z)) |
(* 3 (/ y z)) |
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z))) |
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3)))))) |
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3)))))))) |
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))) |
(* 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)) |
(* 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)) (+ (* -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))))))) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 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 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 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 x) |
(/ (+ 1/3 (* -1/9 (/ z (* x y)))) x) |
(/ (- (+ 1/3 (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 2))))) (* 1/9 (/ z (* x y)))) x) |
(/ (- (+ 1/3 (* -1/81 (/ (pow z 3) (* (pow x 3) (pow y 3))))) (+ (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* 1/9 (/ z (* x y))))) x) |
(/ 1 x) |
(/ (+ 1 (* -1/3 (/ z (* x y)))) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x) |
(* 1/3 (/ (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)))) |
(* 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)) |
(* 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) (* -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))))) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 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 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 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 x) |
(* -1 (/ (- (* 1/9 (/ z (* x y))) 1/3) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 2)))) (* 1/9 (/ z y))) x)) 1/3) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 3)))) (* 1/27 (/ (pow z 2) (pow y 2)))) x)) (* 1/9 (/ z y))) x)) 1/3) x)) |
(/ 1 x) |
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) |
(* 1/3 (/ (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 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* 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 y #s(literal 4 binary64))) (/.f64 z (pow.f64 x #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 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) |
(fma.f64 (/.f64 z (*.f64 (*.f64 x x) y)) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (*.f64 y y)) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 3)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1/3 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) x)) |
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1 binary64) x)) |
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))) z (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) z) |
(* (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))))) |
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(* (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))))) |
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(* 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)) |
(* 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) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 z (/.f64 z 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 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.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))) (*.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) x)))) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* -1/9 (/ z (* x y)))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 z x) #s(literal 1/3 binary64)) x) |
(/ (- (+ 1/3 (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 2))))) (* 1/9 (/ z (* x y)))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/9 binary64) (*.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal 1/27 binary64))) x) #s(literal 1/3 binary64)) x) |
(/ (- (+ 1/3 (* -1/81 (/ (pow z 3) (* (pow x 3) (pow y 3))))) (+ (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* 1/9 (/ z (* x y))))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 (*.f64 x x) y))) y) #s(literal -1/27 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 z (*.f64 y x)))))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/3 (/ z (* x y)))) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y x)) #s(literal 1 binary64)) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 (*.f64 x x) y))) y) #s(literal 1/9 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y x)) #s(literal 1 binary64))) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x) |
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 y y)) (/.f64 (*.f64 z (/.f64 z x)) x) (*.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y x)) #s(literal 1 binary64))) x) |
(* 1/3 (/ (pow z 2) (* x y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) z) |
(/ (+ (* -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) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64))) 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) |
(/.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 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.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))) (*.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 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.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 (*.f64 y x) #s(literal 3 binary64)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.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) |
(*.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)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 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))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.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 #s(literal -3 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) z) x))) |
(* 9 (* (pow x 2) y)) |
(*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) y)) |
(* 9 (* (pow x 2) y)) |
(*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) y)) |
(* 9 (* (pow x 2) y)) |
(*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) y)) |
(* 9 (* (pow x 2) y)) |
(*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) y)) |
(* 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)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 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))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.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 #s(literal -3 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) z) x))) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x 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)) |
(* 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)) |
(* 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 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal 1/9 binary64) (*.f64 (/.f64 z y) #s(literal -1/3 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 (/.f64 z y) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 z (/.f64 z 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 (-.f64 (*.f64 (/.f64 z y) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) y) (*.f64 z (/.f64 z y)) (/.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 (*.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x))) x)) (neg.f64 x)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(* -1 (/ (- (* 1/9 (/ z (* x y))) 1/3) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 z x) #s(literal 1/3 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 2)))) (* 1/9 (/ z y))) x)) 1/3) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/9 binary64) (*.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal 1/27 binary64))) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 3)))) (* 1/27 (/ (pow z 2) (pow y 2)))) x)) (* 1/9 (/ z y))) x)) 1/3) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/27 binary64))) (neg.f64 x))) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) (neg.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 z y) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) |
(/.f64 (fma.f64 (/.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) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64))) (neg.f64 x))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) z) |
(* -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 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/27 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 172 |
| 0 | 54 | 170 |
| 1 | 169 | 170 |
| 2 | 1042 | 166 |
| 0 | 8801 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(*.f64 x #s(literal 3 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) |
(*.f64 y (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) |
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) |
| Outputs |
|---|
#<batchref> |
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#<batchref> |
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Compiled 34 583 to 1 991 computations (94.2% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 166 | 1 | 1 167 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 3 | 3 |
| Total | 1 168 | 6 | 1 174 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.1% | (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) |
| ✓ | 99.8% | (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
| ✓ | 46.7% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ✓ | 46.7% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
| ✓ | 46.7% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
| ✓ | 55.4% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
Compiled 45 to 47 computations (-4.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (*.f64 y (*.f64 #s(literal 3 binary64) x)) | |
| cost-diff | 0 | (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 113 |
| 0 | 28 | 113 |
| 1 | 53 | 113 |
| 2 | 102 | 113 |
| 3 | 243 | 113 |
| 4 | 596 | 113 |
| 5 | 1027 | 113 |
| 6 | 1508 | 113 |
| 7 | 1910 | 113 |
| 8 | 2092 | 113 |
| 9 | 2247 | 113 |
| 10 | 2446 | 113 |
| 11 | 2721 | 113 |
| 12 | 2875 | 113 |
| 13 | 2925 | 113 |
| 14 | 2925 | 113 |
| 15 | 3265 | 113 |
| 16 | 3375 | 113 |
| 17 | 3441 | 113 |
| 18 | 3441 | 113 |
| 19 | 3441 | 113 |
| 20 | 3441 | 113 |
| 21 | 3481 | 113 |
| 22 | 3745 | 113 |
| 0 | 3745 | 107 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) |
(*.f64 y (*.f64 #s(literal 3 binary64) x)) |
y |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
#s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 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)) |
| Outputs |
|---|
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 3 binary64) y) (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) |
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) x) |
(*.f64 y (*.f64 #s(literal 3 binary64) x)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
y |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
x |
#s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 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)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.561983013627318 | (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) | |
| accuracy | 8.848771014673044 | (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) | |
| accuracy | 28.248785203136144 | #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) | |
| accuracy | 33.98676447911438 | #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) |
| 39.0ms | 256× | 0 | valid |
Compiled 155 to 33 computations (78.7% saved)
ival-add: 13.0ms (44.7% of total)ival-mult: 9.0ms (30.9% of total)ival-div: 5.0ms (17.2% of total)ival-neg: 1.0ms (3.4% 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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 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 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<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 (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ (* y 3) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 1.0ms | x | @ | inf | ((+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ (* y 3) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 1.0ms | z | @ | 0 | ((+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ (* y 3) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 1.0ms | y | @ | 0 | ((+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ (* y 3) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 1.0ms | y | @ | inf | ((+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ (* y 3) (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 688 | 3178 |
| 1 | 2152 | 3072 |
| 2 | 7012 | 2963 |
| 0 | 8727 | 2818 |
| 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 x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(* 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 (- (+ (* -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)) |
(* 3 (/ y z)) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z) |
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z) |
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 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z))))) |
(* 3 (/ y z)) |
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z)) |
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z)) |
1 |
(+ 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) |
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z) |
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (/ y z)) |
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z)))) |
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z)))) |
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z)))) |
1 |
(+ 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)) (+ (* -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 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(/ 1 x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y)))) |
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) y))))) |
(* 1/3 (/ 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) (* -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 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(/ 1 x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x)) |
(* 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) |
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z) |
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 (/ y z)) |
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z))) |
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3)))))) |
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3)))))))) |
1 |
(+ 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)) (+ (* -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 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(/ 1 x) |
(/ (+ 1 (* -1/3 (/ z (* x y)))) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x) |
(* 1/3 (/ 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) (* -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 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* (pow x 2) y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(/ 1 x) |
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) |
(* 1/3 (/ 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 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) |
(fma.f64 (/.f64 z (*.f64 (*.f64 x x) y)) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1 binary64) x)) |
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))) z (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1 binary64) x)) |
(* 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 (/.f64 z (*.f64 (*.f64 x x) y)) y) #s(literal -1/9 binary64) (/.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 x x) y) y))) 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 x x) y) y))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z) |
(* 1/3 (/ (pow z 2) (* x y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) z) |
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z) z) |
(* (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 x x) y) y))) 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 x x) y) y))) 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 (- (+ (* -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 (fma.f64 (/.f64 #s(literal 9 binary64) z) (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal -9 binary64) (*.f64 (*.f64 y x) #s(literal 3 binary64))) 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)) |
(*.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 (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal -9 binary64) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z) (fma.f64 (/.f64 #s(literal 9 binary64) z) (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) (*.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))))) #s(literal 1 binary64)) z) |
(* 3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 3 binary64)) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) z) #s(literal -9 binary64) (*.f64 y #s(literal 3 binary64))) z) |
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z) |
(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) (*.f64 y (/.f64 y z)) (fma.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (/.f64 (*.f64 x x) z)) #s(literal 27 binary64) (*.f64 y #s(literal 3 binary64)))) z) |
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z) |
(/.f64 (fma.f64 (*.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -9 binary64) x) (*.f64 y (/.f64 y z)) (fma.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (/.f64 (*.f64 x x) z)) #s(literal 27 binary64) (*.f64 y #s(literal 3 binary64))))) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -3 (/ (* x y) z))) |
(fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) |
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))) |
(+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal 9 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) x)) z) #s(literal 1 binary64)) |
(- (+ 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)))) |
(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 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal 9 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) x)) z) #s(literal 1 binary64))) |
z |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) z) |
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))) |
(+.f64 z (*.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal 9 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) x)) z) 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))))) |
(*.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 (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal 9 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) x)) z) #s(literal 1 binary64))) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64))) |
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z))))) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64))) |
(* -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))))) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64))) |
(* 3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 3 binary64)) |
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z)) |
(/.f64 (fma.f64 #s(literal -3 binary64) y (*.f64 (/.f64 (*.f64 (*.f64 y y) x) z) #s(literal 9 binary64))) (neg.f64 z)) |
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z)) |
(/.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 x x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -9 binary64))) (neg.f64 z))) (neg.f64 z)) |
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z)) |
(/.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9 binary64) x) y) y (/.f64 (fma.f64 (*.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (*.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x x))) (neg.f64 z))) (neg.f64 z))) (neg.f64 z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -3 (/ (* x y) z))) |
(fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z))) |
(+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal 9 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) x)) z) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y (/.f64 (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 x x) (*.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) (neg.f64 z))) z)) |
z |
(* -1 (* z (- (* 3 (/ (* x y) z)) 1))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) z) |
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1))) |
(fma.f64 (neg.f64 z) (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal -9 binary64) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z) z) |
(* -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))) |
(fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) y) y (*.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) z) (*.f64 (*.f64 #s(literal -3 binary64) y) x)) z) z) |
(* -1 z) |
(neg.f64 z) |
(- (* 3 (* x y)) z) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x 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)) |
(* 3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 3 binary64)) |
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 z z)) #s(literal -9 binary64)) y (/.f64 #s(literal 3 binary64) z)) y) |
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 x x)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (*.f64 (/.f64 x (*.f64 z z)) #s(literal -9 binary64))) y (/.f64 #s(literal 3 binary64) z)) y) |
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z)))) |
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(/ (+ 1 (* -1/3 (/ z (* x y)))) x) |
(/.f64 (fma.f64 (/.f64 z (*.f64 y x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x) |
(/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y)) #s(literal 1/9 binary64) (fma.f64 (/.f64 z (*.f64 y x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) x) |
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x) |
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (*.f64 z (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y)) #s(literal 1/9 binary64))) (fma.f64 (/.f64 z (*.f64 y x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) 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 (*.f64 z (/.f64 z 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 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (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 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64))) x))) x) |
(* 1/3 (/ (pow z 2) (* x y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) z) |
(/ (+ (* -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) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64))) 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) |
(/.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 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (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) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 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))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z 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 z x))) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) |
(* 3 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x 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)) |
(* 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)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal 1/9 binary64) (*.f64 (/.f64 z y) #s(literal -1/3 binary64))) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (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 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64))) (neg.f64 x))) x)) (neg.f64 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 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal 1/9 binary64) (*.f64 (/.f64 z y) #s(literal -1/3 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 (/.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 (*.f64 z (/.f64 z 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 (/.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 4 binary64)) x) (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -1/27 binary64))) x) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal 1/9 binary64))) x)) (neg.f64 x)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) z) |
(* -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 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/27 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 91 |
| 0 | 28 | 91 |
| 1 | 95 | 91 |
| 2 | 608 | 91 |
| 3 | 6738 | 91 |
| 0 | 8134 | 86 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) |
(*.f64 y (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
#s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 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 |
|---|
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Compiled 11 675 to 1 133 computations (90.3% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 383 | 0 | 383 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 383 | 6 | 389 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.1% | (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) |
| ✓ | 99.8% | (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
| ✓ | 46.7% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ✓ | 46.7% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
| ✓ | 46.7% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
| ✓ | 55.4% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
Compiled 197 to 89 computations (54.8% saved)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
#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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (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)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (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 |
|---|
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
6 calls:
| 59.0ms | x |
| 11.0ms | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 4.0ms | (*.f64 x #s(literal 3 binary64)) |
| 4.0ms | z |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 99.8% | 1 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 99.8% | 1 | (*.f64 x #s(literal 3 binary64)) |
Compiled 18 to 27 computations (-50% saved)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| Outputs |
|---|
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
6 calls:
| 3.0ms | (*.f64 x #s(literal 3 binary64)) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 99.8% | 1 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 99.8% | 1 | (*.f64 x #s(literal 3 binary64)) |
Compiled 18 to 27 computations (-50% saved)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
#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:
| 2.0ms | (*.f64 x #s(literal 3 binary64)) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.2% | 3 | x |
| 77.7% | 3 | y |
| 73.5% | 3 | z |
| 70.3% | 3 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 88.0% | 3 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 76.2% | 3 | (*.f64 x #s(literal 3 binary64)) |
Compiled 18 to 27 computations (-50% saved)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
| Outputs |
|---|
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
1 calls:
| 2.0ms | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 3 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
Compiled 5 to 6 computations (-20% saved)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#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) y) x)) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
1 calls:
| 1.0ms | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.9% | 3 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
Compiled 5 to 6 computations (-20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
| Outputs |
|---|
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
6 calls:
| 3.0ms | z |
| 1.0ms | (*.f64 x #s(literal 3 binary64)) |
| 1.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.4% | 1 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 55.4% | 1 | z |
| 55.4% | 1 | x |
| 55.4% | 1 | (*.f64 x #s(literal 3 binary64)) |
| 55.4% | 1 | y |
| 55.4% | 1 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
Compiled 18 to 27 computations (-50% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.9374433275263805e+73 | 2.536069175204073e+88 |
| 0.0ms | -1.048651124673066e+23 | -67936893844.89133 |
Compiled 10 to 13 computations (-30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.9374433275263805e+73 | 2.536069175204073e+88 |
| 0.0ms | -1.048651124673066e+23 | -67936893844.89133 |
Compiled 10 to 13 computations (-30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.9374433275263805e+73 | 2.536069175204073e+88 |
| 0.0ms | -1.048651124673066e+23 | -67936893844.89133 |
Compiled 10 to 13 computations (-30% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 180 |
| 1 | 42 | 180 |
| 2 | 45 | 180 |
| 3 | 46 | 180 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -99999999999999991611392 binary64)) #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 49999999999999997582409405901396098942598045401506677583603409881825017856 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 -99999999999999991611392 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 49999999999999997582409405901396098942598045401506677583603409881825017856 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)))) |
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -99999999999999991611392 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 49999999999999997582409405901396098942598045401506677583603409881825017856 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)))) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
| Outputs |
|---|
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z)) |
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -99999999999999991611392 binary64)) #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 49999999999999997582409405901396098942598045401506677583603409881825017856 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 -99999999999999991611392 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 49999999999999997582409405901396098942598045401506677583603409881825017856 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x y) #s(literal 3 binary64))))) |
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -99999999999999991611392 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 49999999999999997582409405901396098942598045401506677583603409881825017856 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)))) |
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -99999999999999991611392 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 49999999999999997582409405901396098942598045401506677583603409881825017856 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)))) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 165 |
| 0 | 51 | 143 |
| 1 | 186 | 136 |
| 2 | 1240 | 136 |
| 0 | 8544 | 136 |
| 0 | 7 | 15 |
| 0 | 10 | 15 |
| 1 | 28 | 15 |
| 2 | 184 | 15 |
| 3 | 1862 | 15 |
| 0 | 8723 | 15 |
| 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× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 170 to 98 computations (42.4% saved)
Compiled 290 to 124 computations (57.2% saved)
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