
Time bar (total: 7.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 9 computations (0% saved)
| 524.0ms | 8 256× | 0 | valid |
ival-mult: 128.0ms (70.3% of total)ival-sub: 39.0ms (21.4% of total)ival-true: 7.0ms (3.8% of total)exact: 5.0ms (2.7% of total)ival-assert: 3.0ms (1.6% 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 |
| 29.0ms | 512× | 0 | valid |
Compiled 49 to 25 computations (49% saved)
ival-mult: 11.0ms (74.7% of total)ival-sub: 2.0ms (13.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 | 0.0078125 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) | |
| accuracy | 0.2421875 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 18.0ms | 256× | 0 | valid |
Compiled 21 to 9 computations (57.1% saved)
ival-mult: 3.0ms (59% of total)ival-sub: 1.0ms (19.7% 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 | |
|---|---|---|---|---|
| 2.0ms | 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)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 321 | 7 | 328 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 321 | 8 | 329 |
| Status | Accuracy | Program |
|---|---|---|
| 73.3% | (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) | |
| 74.8% | (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))))) | |
| ▶ | 99.9% | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
| ▶ | 99.9% | (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
| ▶ | 61.9% | (fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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% | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| ▶ | 51.8% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ▶ | 49.6% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
Compiled 223 to 143 computations (35.9% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 9 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) | |
| cost-diff | 1408 | (fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 (*.f64 y x) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
Useful iterations: 14 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 168 |
| 0 | 45 | 168 |
| 1 | 85 | 168 |
| 2 | 145 | 168 |
| 3 | 323 | 168 |
| 4 | 750 | 168 |
| 5 | 1733 | 168 |
| 6 | 3196 | 163 |
| 7 | 4318 | 163 |
| 8 | 5227 | 163 |
| 9 | 5287 | 163 |
| 10 | 5302 | 163 |
| 11 | 5305 | 163 |
| 12 | 5519 | 163 |
| 13 | 5572 | 163 |
| 14 | 5572 | 161 |
| 15 | 6309 | 161 |
| 16 | 6633 | 161 |
| 17 | 6635 | 161 |
| 18 | 6635 | 161 |
| 19 | 6635 | 161 |
| 20 | 6635 | 161 |
| 21 | 6635 | 161 |
| 22 | 6905 | 161 |
| 0 | 8209 | 161 |
| 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 y x) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 y x) |
y |
x |
#s(literal 3 binary64) |
(neg.f64 z) |
z |
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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))))) |
y |
(/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (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 |
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
z |
(neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))) |
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) |
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
| Outputs |
|---|
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(fma.f64 (*.f64 x #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 y) #s(literal 3 binary64))) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(literal 3 binary64) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(literal 3 binary64) |
(neg.f64 z) |
z |
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 9 binary64) y) y) x) x (*.f64 (neg.f64 z) z)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) |
y |
(/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(*.f64 (/.f64 x (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 (*.f64 #s(literal 9 binary64) y) x)) |
(*.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 |
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) 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 y) #s(literal 3 binary64) 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 y) #s(literal 3 binary64) z)) z) |
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(/.f64 z (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5580567974366494 | (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) | |
| accuracy | 2.708756852696508 | (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) | |
| accuracy | 10.047373615461558 | (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) | |
| accuracy | 18.220594613930533 | (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.09375 | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.26953125 | (*.f64 (*.f64 y x) #s(literal 3 binary64)) | |
| accuracy | 30.770233163483443 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 32.26910266048346 | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.09375 | (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
| 50.0ms | 207× | 0 | valid |
| 10.0ms | 29× | 1 | valid |
| 7.0ms | 6× | 3 | valid |
| 7.0ms | 14× | 2 | valid |
Compiled 171 to 29 computations (83% saved)
ival-mult: 21.0ms (47.7% of total)ival-div: 6.0ms (13.6% of total)ival-add: 6.0ms (13.6% of total)ival-neg: 6.0ms (13.6% of total)adjust: 3.0ms (6.8% of total)ival-sub: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (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 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (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 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #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 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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) (taylor 0 z) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ z y)) (* 3 x)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 x) (* z (- (* 1/3 (/ z (* x (pow y 2)))) (/ 1 y)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 x) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 (* x (pow y 2)))))) (/ 1 y)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ z (* x y))) (taylor 0 z) (#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 (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#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 (* 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))))) (taylor 0 z) (#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 (* 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))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 z) (#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 (* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#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 (* (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))))) (taylor 0 z) (#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 (* (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))))) (taylor 0 z) (#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 z) (taylor inf 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 (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf 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 (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf 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 (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf 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 inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf 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 (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
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#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 9 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 9 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ z (* x y))) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | z | @ | 0 | ((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* y (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z)) (* (* 9 (* x x)) y) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 6.0ms | y | @ | -inf | ((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* y (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z)) (* (* 9 (* x x)) y) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 6.0ms | x | @ | -inf | ((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* y (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z)) (* (* 9 (* x x)) y) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 5.0ms | y | @ | 0 | ((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* y (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z)) (* (* 9 (* x x)) y) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 3.0ms | x | @ | inf | ((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* y (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z)) (* (* 9 (* x x)) y) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 680 | 4493 |
| 1 | 2131 | 4330 |
| 2 | 7046 | 4227 |
| 0 | 8613 | 4066 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 x) |
(+ (* -1 (/ z y)) (* 3 x)) |
(+ (* 3 x) (* z (- (* 1/3 (/ z (* x (pow y 2)))) (/ 1 y)))) |
(+ (* 3 x) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 (* x (pow y 2)))))) (/ 1 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 (/ (pow z 2) (* x y))) |
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) |
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1)) |
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1)) |
(* 9 (/ (* (pow x 2) y) z)) |
(/ (+ (* -27 (/ (* (pow x 3) (pow y 2)) z)) (* 9 (* (pow x 2) y))) z) |
(/ (+ (* -27 (/ (* (pow x 3) (pow y 2)) z)) (+ (* 9 (* (pow x 2) y)) (* 81 (/ (* (pow x 4) (pow y 3)) (pow z 2))))) z) |
(/ (+ (* -243 (/ (* (pow x 5) (pow y 4)) (pow z 3))) (+ (* -27 (/ (* (pow x 3) (pow y 2)) z)) (+ (* 9 (* (pow x 2) y)) (* 81 (/ (* (pow x 4) (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 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z))))) |
(* 9 (/ (* (pow x 2) y) z)) |
(* -1 (/ (+ (* -9 (* (pow x 2) y)) (* 27 (/ (* (pow x 3) (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -9 (* (pow x 2) y)) (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 2))) (* 81 (/ (* (pow x 4) (pow y 3)) z))) z))) z)) |
(* -1 (/ (+ (* -9 (* (pow x 2) y)) (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 2))) (* -1 (/ (+ (* -81 (* (pow x 4) (pow y 3))) (* 243 (/ (* (pow x 5) (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) |
(- (* 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) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z) |
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z) |
(* 9 (/ (* (pow x 2) y) z)) |
(* y (+ (* -27 (/ (* (pow x 3) y) (pow z 2))) (* 9 (/ (pow x 2) z)))) |
(* y (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 81 (/ (* (pow x 4) y) (pow z 3))))))) |
(* y (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* y (+ (* -243 (/ (* (pow x 5) y) (pow z 4))) (* 81 (/ (pow x 4) (pow z 3))))))))) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
1 |
(+ 1 (* -3 (/ (* x y) z))) |
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z))))) |
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z))))) |
z |
(+ z (* -3 (* x y))) |
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x)))) |
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x)))) |
(* 3 (* x y)) |
(* y (+ (* -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)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 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 x) |
(+ (* -1 (/ z y)) (* 3 x)) |
(+ (* -1 (/ z y)) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))) |
(+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (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) (/ 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) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) y))))) |
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow x 3))) (* 1/27 (/ (pow z 4) (pow x 3)))) (pow y 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) y))))) |
(* 3 x) |
(+ (* -1 (/ z y)) (* 3 x)) |
(+ (* -1 (/ (+ z (* -1/3 (/ (pow z 2) (* x y)))) y)) (* 3 x)) |
(+ (* -1 (/ (+ z (* -1 (/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y))) y)) (* 3 x)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 9 (* (pow x 2) y)) |
(* 1/3 (/ z (* x y))) |
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* -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) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z) |
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z) |
(* 9 (/ (* (pow x 2) y) z)) |
(* (pow x 2) (+ (* -27 (/ (* x (pow y 2)) (pow z 2))) (* 9 (/ y z)))) |
(* (pow x 2) (+ (* 9 (/ y z)) (* x (+ (* -27 (/ (pow y 2) (pow z 2))) (* 81 (/ (* x (pow y 3)) (pow z 3))))))) |
(* (pow x 2) (+ (* 9 (/ y z)) (* x (+ (* -27 (/ (pow y 2) (pow z 2))) (* x (+ (* -243 (/ (* x (pow y 4)) (pow z 4))) (* 81 (/ (pow y 3) (pow z 3))))))))) |
(* 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)) |
1 |
(+ 1 (* -3 (/ (* x y) z))) |
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z))))) |
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z))))) |
z |
(+ z (* -3 (* x y))) |
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y)))) |
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y)))) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* 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)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y))))) |
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y))))))) |
(* 3 x) |
(* x (+ 3 (* -1 (/ z (* x y))))) |
(* x (+ 3 (+ (* -1 (/ z (* x y))) (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) |
(* x (+ 3 (+ (* -1 (/ z (* x y))) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 2)))))))) |
(* 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)) |
(* 1/3 (/ z (* x y))) |
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x) |
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x) |
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x) |
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x) |
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* 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) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x))))) |
(* 3 x) |
(* -1 (* x (- (/ z (* x y)) 3))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z y)) (* 1/3 (/ (pow z 2) (* x (pow y 2))))) x)) 3))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (+ (* -1/3 (/ (pow z 2) (pow y 2))) (* 1/9 (/ (pow z 3) (* x (pow y 3))))) x))) x)) 3))) |
(* 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)) |
(* 1/3 (/ z (* x y))) |
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) |
| Outputs |
|---|
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(+ (* -1 z) (* 3 (* x y))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(+ (* -1 (/ z y)) (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) |
(+ (* 3 x) (* z (- (* 1/3 (/ z (* x (pow y 2)))) (/ 1 y)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 z x) (/.f64 #s(literal -1 binary64) y)) z (*.f64 x #s(literal 3 binary64))) |
(+ (* 3 x) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 (* x (pow y 2)))))) (/ 1 y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 y y) x))) z (/.f64 #s(literal -1 binary64) y)) z (*.f64 x #s(literal 3 binary64))) |
(* 1/3 (/ z (* x y))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) |
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) |
(*.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 (*.f64 y y) x) x)) #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 x #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z) |
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z) |
(* 1/3 (/ (pow z 2) (* x y))) |
(*.f64 (*.f64 (/.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 z (*.f64 (*.f64 (*.f64 y y) x) x)) #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 x #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x)))) |
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x)))) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(* 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 (*.f64 (*.f64 (*.f64 y y) x) x) z) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) x) 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 (*.f64 (*.f64 (*.f64 y y) x) x) z) #s(literal -9 binary64) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z) (fma.f64 (/.f64 #s(literal 9 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 y y) x) 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) |
(* 9 (/ (* (pow x 2) y) z)) |
(*.f64 (*.f64 (/.f64 (*.f64 x x) z) #s(literal 9 binary64)) y) |
(/ (+ (* -27 (/ (* (pow x 3) (pow y 2)) z)) (* 9 (* (pow x 2) y))) z) |
(/.f64 (fma.f64 (*.f64 #s(literal 9 binary64) y) (*.f64 x x) (*.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 y y) z))) z) |
(/ (+ (* -27 (/ (* (pow x 3) (pow y 2)) z)) (+ (* 9 (* (pow x 2) y)) (* 81 (/ (* (pow x 4) (pow y 3)) (pow z 2))))) z) |
(/.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) z) (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64)))) z) |
(/ (+ (* -243 (/ (* (pow x 5) (pow y 4)) (pow z 3))) (+ (* -27 (/ (* (pow x 3) (pow y 2)) z)) (+ (* 9 (* (pow x 2) y)) (* 81 (/ (* (pow x 4) (pow y 3)) (pow z 2)))))) z) |
(/.f64 (fma.f64 (*.f64 #s(literal -243 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) z) (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 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 (*.f64 (*.f64 (*.f64 y y) x) x) z) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 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 (*.f64 (*.f64 (*.f64 y y) x) x) z) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 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 (*.f64 (*.f64 (*.f64 y y) x) x) z) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 y x))) z) z)) |
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(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* 1/3 (/ z (* x y))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) |
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z (*.f64 (*.f64 y y) x))) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 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) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z y) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (/.f64 (*.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 #s(literal 1/3 binary64) (/.f64 z y) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (/.f64 (*.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) 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))) (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) |
(* 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)) |
(* -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)) |
(* -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)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (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)) |
(* -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 x) |
(*.f64 x #s(literal 3 binary64)) |
(* -1 (* x (- (/ z (* x y)) 3))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z y) x) #s(literal 3 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z y)) (* 1/3 (/ (pow z 2) (* x (pow y 2))))) x)) 3))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (*.f64 z (/.f64 z x)) (/.f64 (neg.f64 z) y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (+ (* -1/3 (/ (pow z 2) (pow y 2))) (* 1/9 (/ (pow z 3) (* x (pow y 3))))) x))) x)) 3))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (*.f64 z (/.f64 z y)) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) x) (/.f64 z y)) x) #s(literal 3 binary64))) |
(* 9 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64)) |
(* 9 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64)) |
(* 9 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64)) |
(* 9 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64)) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* 1/3 (/ z (* x y))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) |
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (*.f64 (*.f64 z (/.f64 z (*.f64 (*.f64 y y) x))) #s(literal 1/9 binary64))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (/.f64 (*.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 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -1/27 binary64))) x) (*.f64 (/.f64 (*.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) 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 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) x) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) x) (*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) y))) x)) (neg.f64 x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 121 |
| 0 | 45 | 101 |
| 1 | 167 | 101 |
| 2 | 934 | 94 |
| 0 | 9484 | 94 |
| 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 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (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 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) |
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) |
| Outputs |
|---|
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Compiled 52 730 to 2 298 computations (95.6% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 645 | 5 | 1 650 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 649 | 9 | 1 658 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
| ▶ | 50.6% | (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) |
| ✓ | 99.9% | (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
| ▶ | 54.2% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) |
| ✓ | 51.8% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ▶ | 51.7% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
| ▶ | 51.8% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
| ✓ | 49.6% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
| ▶ | 2.5% | #s(approx (- (* (* x 3) y) z) z) |
Compiled 107 to 94 computations (12.1% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) | |
| 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)) | |
| cost-diff | 0 | #s(approx (- (* (* x 3) y) z) z) | |
| cost-diff | 0 | (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) | |
| cost-diff | 2432 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 135 |
| 0 | 36 | 133 |
| 1 | 67 | 133 |
| 2 | 139 | 119 |
| 3 | 474 | 119 |
| 4 | 1996 | 119 |
| 5 | 6029 | 119 |
| 0 | 8425 | 119 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) |
#s(literal 0 binary64) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) |
(fma.f64 #s(literal -3 binary64) (*.f64 x y) z) |
#s(literal -3 binary64) |
(*.f64 x y) |
x |
y |
z |
#s(approx (- (* (* x 3) y) z) z) |
z |
#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 y x) #s(literal 3 binary64) z) |
(*.f64 y x) |
y |
x |
#s(literal 3 binary64) |
z |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) |
#s(literal 0 binary64) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) |
(*.f64 (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) |
(fma.f64 #s(literal -3 binary64) (*.f64 x y) z) |
(fma.f64 (*.f64 y #s(literal -3 binary64)) x z) |
#s(literal -3 binary64) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
z |
#s(approx (- (* (* x 3) y) z) z) |
z |
#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)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) y) |
(*.f64 (*.f64 #s(literal 3 binary64) y) x) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
x |
#s(literal 3 binary64) |
y |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) x z) |
(*.f64 y x) |
y |
x |
#s(literal 3 binary64) |
z |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.12109375 | (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) | |
| accuracy | 0 | (*.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.2421875 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) | |
| accuracy | 30.770233163483443 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.20703125 | (*.f64 (*.f64 #s(literal 3 binary64) y) x) | |
| accuracy | 30.770233163483443 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) | |
| accuracy | 62.404787619048335 | #s(approx (- (* (* x 3) y) z) z) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.09375 | (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) | |
| accuracy | 0.12109375 | (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) | |
| accuracy | 28.432812133645147 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) |
| 36.0ms | 256× | 0 | valid |
Compiled 132 to 22 computations (83.3% saved)
ival-mult: 15.0ms (68.8% of total)ival-div: 2.0ms (9.2% of total)ival-sub: 2.0ms (9.2% of total)ival-add: 2.0ms (9.2% 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 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (patch (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) 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 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -9 (* (pow x 2) (pow y 2))) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 6 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2)))) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (* z (- (* -1 z) (* -6 (* x y)))) (* 9 (* (pow x 2) (pow y 2)))) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (* z (- (* -1 z) (* -6 (* x y)))) (* 9 (* (pow x 2) (pow y 2)))) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (* (pow x 2) (pow y 2))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -6 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* -6 (* x y))))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* -6 (* x y))))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (patch (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (patch (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (patch (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (patch (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ()) |
#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 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor inf z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow z 2) (- (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (* -6 (/ (* x y) z))))) (taylor inf z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((/ (- 0 (* (+ (* -3 (* x y)) z) (+ (* -3 (* x y)) z))) (+ (* -3 (* x y)) z)) (- 0 (* (+ (* -3 (* x y)) z) (+ (* -3 (* x y)) z))) (* (+ (* -3 (* x y)) z) (+ (* -3 (* x y)) z)) (+ (* -3 (* x y)) z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* y x) 3) z) (* y x) (* x y)) |
| 1.0ms | x | @ | -inf | ((/ (- 0 (* (+ (* -3 (* x y)) z) (+ (* -3 (* x y)) z))) (+ (* -3 (* x y)) z)) (- 0 (* (+ (* -3 (* x y)) z) (+ (* -3 (* x y)) z))) (* (+ (* -3 (* x y)) z) (+ (* -3 (* x y)) z)) (+ (* -3 (* x y)) z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* y x) 3) z) (* y x) (* x y)) |
| 1.0ms | x | @ | inf | ((/ (- 0 (* (+ (* -3 (* x y)) z) (+ (* -3 (* x y)) z))) (+ (* -3 (* x y)) z)) (- 0 (* (+ (* -3 (* x y)) z) (+ (* -3 (* x y)) z))) (* (+ (* -3 (* x y)) z) (+ (* -3 (* x y)) z)) (+ (* -3 (* x y)) z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* y x) 3) z) (* y x) (* x y)) |
| 1.0ms | y | @ | inf | ((/ (- 0 (* (+ (* -3 (* x y)) z) (+ (* -3 (* x y)) z))) (+ (* -3 (* x y)) z)) (- 0 (* (+ (* -3 (* x y)) z) (+ (* -3 (* x y)) z))) (* (+ (* -3 (* x y)) z) (+ (* -3 (* x y)) z)) (+ (* -3 (* x y)) z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* y x) 3) z) (* y x) (* x y)) |
| 1.0ms | y | @ | 0 | ((/ (- 0 (* (+ (* -3 (* x y)) z) (+ (* -3 (* x y)) z))) (+ (* -3 (* x y)) z)) (- 0 (* (+ (* -3 (* x y)) z) (+ (* -3 (* x y)) z))) (* (+ (* -3 (* x y)) z) (+ (* -3 (* x y)) z)) (+ (* -3 (* x y)) z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* y x) 3) z) (* y x) (* x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 3022 |
| 1 | 600 | 2972 |
| 2 | 1856 | 2872 |
| 3 | 4555 | 2824 |
| 0 | 8327 | 2696 |
| 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))) |
(* -9 (* (pow x 2) (pow y 2))) |
(- (* 6 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2)))) |
(- (* z (- (* -1 z) (* -6 (* x y)))) (* 9 (* (pow x 2) (pow y 2)))) |
(- (* z (- (* -1 z) (* -6 (* x y)))) (* 9 (* (pow x 2) (pow y 2)))) |
(* 9 (* (pow x 2) (pow y 2))) |
(+ (* -6 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2)))) |
(+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* -6 (* x y))))) |
(+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* -6 (* x y))))) |
(* -3 (* x y)) |
(+ z (* -3 (* x y))) |
(+ z (* -3 (* x y))) |
(+ z (* -3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(+ z (* 3 (* x y))) |
(+ z (* 3 (* x y))) |
(+ z (* 3 (* x y))) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* 6 (/ (* x y) z)) 1)) |
(* (pow z 2) (- (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (* -6 (/ (* x y) z))))) |
(* (pow z 2) (- (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (* -6 (/ (* x y) z))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -6 (/ (* x y) z)))) |
(* (pow z 2) (+ 1 (+ (* -6 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) |
(* (pow z 2) (+ 1 (+ (* -6 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) |
z |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
z |
(* z (+ 1 (* 3 (/ (* x y) z)))) |
(* z (+ 1 (* 3 (/ (* x y) z)))) |
(* 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 (pow z 2)) |
(* (pow z 2) (- (* 6 (/ (* x y) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 6 (* x y))) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 6 (* x y))) z)) 1)) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -6 (/ (* x y) z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* 6 (* x y))) z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* 6 (* x y))) z)))) |
z |
(* -1 (* z (- (* 3 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* 3 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* 3 (/ (* x y) z)) 1))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
z |
(* -1 (* z (- (* -3 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -3 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -3 (/ (* x y) z)) 1))) |
(* -1 z) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* -1 (pow z 2)) |
(- (* 6 (* x (* y z))) (pow z 2)) |
(- (* y (- (* -9 (* (pow x 2) y)) (* -6 (* x z)))) (pow z 2)) |
(- (* y (- (* -9 (* (pow x 2) y)) (* -6 (* x z)))) (pow z 2)) |
(pow z 2) |
(+ (* -6 (* x (* y z))) (pow z 2)) |
(+ (* y (+ (* -6 (* x z)) (* 9 (* (pow x 2) y)))) (pow z 2)) |
(+ (* y (+ (* -6 (* x z)) (* 9 (* (pow x 2) y)))) (pow z 2)) |
z |
(+ z (* -3 (* x y))) |
(+ z (* -3 (* x y))) |
(+ z (* -3 (* x y))) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 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)) |
z |
(+ z (* 3 (* x y))) |
(+ z (* 3 (* x y))) |
(+ z (* 3 (* x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* -9 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (- (* 6 (/ (* x z) y)) (* 9 (pow x 2)))) |
(* (pow y 2) (- (* -1 (/ (pow z 2) (pow y 2))) (+ (* -6 (/ (* x z) y)) (* 9 (pow x 2))))) |
(* (pow y 2) (- (* -1 (/ (pow z 2) (pow y 2))) (+ (* -6 (/ (* x z) y)) (* 9 (pow x 2))))) |
(* 9 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -6 (/ (* x z) y)) (* 9 (pow x 2)))) |
(* (pow y 2) (+ (* -6 (/ (* x z) y)) (+ (* 9 (pow x 2)) (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ (* -6 (/ (* x z) y)) (+ (* 9 (pow x 2)) (/ (pow z 2) (pow y 2))))) |
(* -3 (* x y)) |
(* y (+ (* -3 x) (/ z y))) |
(* y (+ (* -3 x) (/ z y))) |
(* y (+ (* -3 x) (/ z y))) |
(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 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 (+ (* 3 x) (/ z y))) |
(* y (+ (* 3 x) (/ z y))) |
(* y (+ (* 3 x) (/ z y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -9 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (- (* 6 (/ (* x z) y)) (* 9 (pow x 2)))) |
(* (pow y 2) (- (* -1 (/ (- (/ (pow z 2) y) (* 6 (* x z))) y)) (* 9 (pow x 2)))) |
(* (pow y 2) (- (* -1 (/ (- (/ (pow z 2) y) (* 6 (* x z))) y)) (* 9 (pow x 2)))) |
(* 9 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -6 (/ (* x z) y)) (* 9 (pow x 2)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* 6 (* x z))) y)) (* 9 (pow x 2)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* 6 (* x z))) y)) (* 9 (pow x 2)))) |
(* -3 (* x y)) |
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x)))) |
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x)))) |
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x)))) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 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) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -3 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -3 x) (* -1 (/ z y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 z) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* -1 (pow z 2)) |
(- (* 6 (* x (* y z))) (pow z 2)) |
(- (* x (- (* -9 (* x (pow y 2))) (* -6 (* y z)))) (pow z 2)) |
(- (* x (- (* -9 (* x (pow y 2))) (* -6 (* y z)))) (pow z 2)) |
(pow z 2) |
(+ (* -6 (* x (* y z))) (pow z 2)) |
(+ (* x (+ (* -6 (* y z)) (* 9 (* x (pow y 2))))) (pow z 2)) |
(+ (* x (+ (* -6 (* y z)) (* 9 (* x (pow y 2))))) (pow z 2)) |
z |
(+ z (* -3 (* x y))) |
(+ z (* -3 (* x y))) |
(+ z (* -3 (* x y))) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* -1 z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
z |
(+ z (* 3 (* x y))) |
(+ z (* 3 (* x y))) |
(+ z (* 3 (* x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* -9 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 6 (/ (* y z) x)) (* 9 (pow y 2)))) |
(* (pow x 2) (- (* -1 (/ (pow z 2) (pow x 2))) (+ (* -6 (/ (* y z) x)) (* 9 (pow y 2))))) |
(* (pow x 2) (- (* -1 (/ (pow z 2) (pow x 2))) (+ (* -6 (/ (* y z) x)) (* 9 (pow y 2))))) |
(* 9 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -6 (/ (* y z) x)) (* 9 (pow y 2)))) |
(* (pow x 2) (+ (* -6 (/ (* y z) x)) (+ (* 9 (pow y 2)) (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ (* -6 (/ (* y z) x)) (+ (* 9 (pow y 2)) (/ (pow z 2) (pow x 2))))) |
(* -3 (* x y)) |
(* x (+ (* -3 y) (/ z x))) |
(* x (+ (* -3 y) (/ z x))) |
(* x (+ (* -3 y) (/ z x))) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 (* x y)) |
(* x (+ (* 3 y) (/ z x))) |
(* x (+ (* 3 y) (/ z x))) |
(* x (+ (* 3 y) (/ z x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -9 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 6 (/ (* y z) x)) (* 9 (pow y 2)))) |
(* (pow x 2) (- (* -1 (/ (- (/ (pow z 2) x) (* 6 (* y z))) x)) (* 9 (pow y 2)))) |
(* (pow x 2) (- (* -1 (/ (- (/ (pow z 2) x) (* 6 (* y z))) x)) (* 9 (pow y 2)))) |
(* 9 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -6 (/ (* y z) x)) (* 9 (pow y 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* 6 (* y z))) x)) (* 9 (pow y 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* 6 (* y z))) x)) (* 9 (pow y 2)))) |
(* -3 (* x y)) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ z x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| 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)) |
(* -9 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -9 binary64)) x) |
(- (* 6 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2)))) |
(*.f64 (*.f64 y (fma.f64 #s(literal 6 binary64) z (*.f64 (*.f64 #s(literal -9 binary64) x) y))) x) |
(- (* z (- (* -1 z) (* -6 (* x y)))) (* 9 (* (pow x 2) (pow y 2)))) |
(neg.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 9 binary64) x) y (*.f64 #s(literal -6 binary64) z))) x (*.f64 z z))) |
(- (* z (- (* -1 z) (* -6 (* x y)))) (* 9 (* (pow x 2) (pow y 2)))) |
(neg.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 9 binary64) x) y (*.f64 #s(literal -6 binary64) z))) x (*.f64 z z))) |
(* 9 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 #s(literal 9 binary64) y) (*.f64 (*.f64 x x) y)) |
(+ (* -6 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2)))) |
(*.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 9 binary64) x) y (*.f64 #s(literal -6 binary64) z))) x) |
(+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* -6 (* x y))))) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 9 binary64) x) y (*.f64 #s(literal -6 binary64) z))) x (*.f64 z z)) |
(+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* -6 (* x y))))) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 9 binary64) x) y (*.f64 #s(literal -6 binary64) z))) x (*.f64 z z)) |
(* -3 (* x y)) |
(*.f64 (*.f64 #s(literal -3 binary64) y) x) |
(+ z (* -3 (* x y))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(+ z (* -3 (* x y))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(+ z (* -3 (* x y))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) 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))) |
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(neg.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 z y) #s(literal -6 binary64) (*.f64 #s(literal 9 binary64) x))) y) y (*.f64 z z))) |
(* 9 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 #s(literal 9 binary64) y) (*.f64 (*.f64 x x) y)) |
(* (pow y 2) (+ (* -6 (/ (* x z) y)) (* 9 (pow x 2)))) |
(*.f64 (*.f64 x (fma.f64 (/.f64 z y) #s(literal -6 binary64) (*.f64 #s(literal 9 binary64) x))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* 6 (* x z))) y)) (* 9 (pow x 2)))) |
(fma.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 z y) #s(literal -6 binary64) (*.f64 #s(literal 9 binary64) x))) y) y (*.f64 z z)) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* 6 (* x z))) y)) (* 9 (pow x 2)))) |
(fma.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 z y) #s(literal -6 binary64) (*.f64 #s(literal 9 binary64) x))) y) y (*.f64 z z)) |
(* -3 (* x y)) |
(*.f64 (*.f64 #s(literal -3 binary64) y) x) |
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x)))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x)))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
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(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
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(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
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(fma.f64 (*.f64 x #s(literal 3 binary64)) y z) |
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(fma.f64 (*.f64 x #s(literal 3 binary64)) y z) |
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(+ (* -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 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(- (* 6 (* x (* y z))) (pow z 2)) |
(*.f64 (fma.f64 #s(literal 6 binary64) (*.f64 y x) (neg.f64 z)) z) |
(- (* x (- (* -9 (* x (pow y 2))) (* -6 (* y z)))) (pow z 2)) |
(neg.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 9 binary64) x) y (*.f64 #s(literal -6 binary64) z))) x (*.f64 z z))) |
(- (* x (- (* -9 (* x (pow y 2))) (* -6 (* y z)))) (pow z 2)) |
(neg.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 9 binary64) x) y (*.f64 #s(literal -6 binary64) z))) x (*.f64 z z))) |
(pow z 2) |
(*.f64 z z) |
(+ (* -6 (* x (* y z))) (pow z 2)) |
(*.f64 (fma.f64 #s(literal -6 binary64) (*.f64 y x) z) z) |
(+ (* x (+ (* -6 (* y z)) (* 9 (* x (pow y 2))))) (pow z 2)) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 9 binary64) x) y (*.f64 #s(literal -6 binary64) z))) x (*.f64 z z)) |
(+ (* x (+ (* -6 (* y z)) (* 9 (* x (pow y 2))))) (pow z 2)) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 9 binary64) x) y (*.f64 #s(literal -6 binary64) z))) x (*.f64 z z)) |
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(+ z (* -3 (* x y))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(+ z (* -3 (* x y))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(+ z (* -3 (* x y))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(* -1 z) |
(neg.f64 z) |
(- (* 3 (* x y)) z) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(- (* 3 (* x y)) z) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(- (* 3 (* x y)) z) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(- (* 3 (* x y)) z) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(- (* 3 (* x y)) z) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(- (* 3 (* x y)) z) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
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(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* -1 z) |
(neg.f64 z) |
(- (* 3 (* x y)) z) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(- (* 3 (* x y)) z) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(- (* 3 (* x y)) z) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
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(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
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(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
z |
(+ z (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z) |
(+ z (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z) |
(+ z (* 3 (* x y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z) |
(* x y) |
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(* x y) |
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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)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* -9 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -9 binary64)) x) |
(* (pow x 2) (- (* 6 (/ (* y z) x)) (* 9 (pow y 2)))) |
(*.f64 (*.f64 y (fma.f64 #s(literal -9 binary64) y (*.f64 (/.f64 z x) #s(literal 6 binary64)))) (*.f64 x x)) |
(* (pow x 2) (- (* -1 (/ (pow z 2) (pow x 2))) (+ (* -6 (/ (* y z) x)) (* 9 (pow y 2))))) |
(neg.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 (/.f64 z x) #s(literal -6 binary64) (*.f64 #s(literal 9 binary64) y))) x) x (*.f64 z z))) |
(* (pow x 2) (- (* -1 (/ (pow z 2) (pow x 2))) (+ (* -6 (/ (* y z) x)) (* 9 (pow y 2))))) |
(neg.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 (/.f64 z x) #s(literal -6 binary64) (*.f64 #s(literal 9 binary64) y))) x) x (*.f64 z z))) |
(* 9 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 #s(literal 9 binary64) y) (*.f64 (*.f64 x x) y)) |
(* (pow x 2) (+ (* -6 (/ (* y z) x)) (* 9 (pow y 2)))) |
(*.f64 (*.f64 y (fma.f64 (/.f64 z x) #s(literal -6 binary64) (*.f64 #s(literal 9 binary64) y))) (*.f64 x x)) |
(* (pow x 2) (+ (* -6 (/ (* y z) x)) (+ (* 9 (pow y 2)) (/ (pow z 2) (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 y (fma.f64 (/.f64 z x) #s(literal -6 binary64) (*.f64 #s(literal 9 binary64) y))) x) x (*.f64 z z)) |
(* (pow x 2) (+ (* -6 (/ (* y z) x)) (+ (* 9 (pow y 2)) (/ (pow z 2) (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 y (fma.f64 (/.f64 z x) #s(literal -6 binary64) (*.f64 #s(literal 9 binary64) y))) x) x (*.f64 z z)) |
(* -3 (* x y)) |
(*.f64 (*.f64 #s(literal -3 binary64) y) x) |
(* x (+ (* -3 y) (/ z x))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(* x (+ (* -3 y) (/ z x))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(* x (+ (* -3 y) (/ z x))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (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)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (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)) |
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(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
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(*.f64 x #s(literal 3 binary64)) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* x (+ (* 3 y) (/ z x))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z) |
(* x (+ (* 3 y) (/ z x))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z) |
(* x (+ (* 3 y) (/ z x))) |
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(* x y) |
(*.f64 y x) |
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(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* 3 (* x y)) |
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(* -1 (* x (+ (* -3 y) (/ z x)))) |
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(* -1 (* x (+ (* -3 y) (/ z x)))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* -9 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -9 binary64)) x) |
(* (pow x 2) (- (* 6 (/ (* y z) x)) (* 9 (pow y 2)))) |
(*.f64 (*.f64 y (fma.f64 #s(literal -9 binary64) y (*.f64 (/.f64 z x) #s(literal 6 binary64)))) (*.f64 x x)) |
(* (pow x 2) (- (* -1 (/ (- (/ (pow z 2) x) (* 6 (* y z))) x)) (* 9 (pow y 2)))) |
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(* (pow x 2) (- (* -1 (/ (- (/ (pow z 2) x) (* 6 (* y z))) x)) (* 9 (pow y 2)))) |
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(* 9 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 #s(literal 9 binary64) y) (*.f64 (*.f64 x x) y)) |
(* (pow x 2) (+ (* -6 (/ (* y z) x)) (* 9 (pow y 2)))) |
(*.f64 (*.f64 y (fma.f64 (/.f64 z x) #s(literal -6 binary64) (*.f64 #s(literal 9 binary64) y))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* 6 (* y z))) x)) (* 9 (pow y 2)))) |
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(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* 6 (* y z))) x)) (* 9 (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y (fma.f64 (/.f64 z x) #s(literal -6 binary64) (*.f64 #s(literal 9 binary64) y))) x) x (*.f64 z z)) |
(* -3 (* x y)) |
(*.f64 (*.f64 #s(literal -3 binary64) y) x) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
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(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (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 (* x (+ (* -3 y) (/ z x)))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (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) (* -1 (/ z x))))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z) |
(* -1 (* x (+ (* -3 y) (* -1 (/ z x))))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z) |
(* -1 (* x (+ (* -3 y) (* -1 (/ z x))))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 119 |
| 0 | 36 | 102 |
| 1 | 124 | 102 |
| 2 | 913 | 93 |
| 0 | 9493 | 93 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) |
(fma.f64 #s(literal -3 binary64) (*.f64 x y) z) |
#s(approx (- (* (* x 3) y) z) z) |
#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 y x) #s(literal 3 binary64) z) |
(*.f64 y x) |
(*.f64 x y) |
| Outputs |
|---|
#<batchref> |
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Compiled 65 456 to 4 423 computations (93.2% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 168 | 1 | 2 169 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 2 169 | 9 | 2 178 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
| ✓ | 50.6% | (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) |
| ✓ | 99.9% | (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) |
| ✓ | 51.8% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ✓ | 51.7% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
| ✓ | 51.8% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
| ✓ | 49.6% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
| ✓ | 2.5% | #s(approx (- (* (* x 3) y) z) z) |
Compiled 53 to 60 computations (-13.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y #s(literal -3 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) | |
| cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 33 |
| 0 | 15 | 31 |
| 1 | 24 | 30 |
| 2 | 41 | 30 |
| 3 | 73 | 30 |
| 4 | 105 | 30 |
| 5 | 122 | 30 |
| 6 | 188 | 30 |
| 7 | 299 | 30 |
| 8 | 391 | 30 |
| 9 | 414 | 30 |
| 10 | 430 | 30 |
| 11 | 442 | 30 |
| 12 | 450 | 30 |
| 13 | 470 | 30 |
| 14 | 644 | 30 |
| 15 | 899 | 30 |
| 0 | 899 | 30 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) |
#s(literal -1 binary64) |
(fma.f64 (*.f64 y #s(literal -3 binary64)) x z) |
(*.f64 y #s(literal -3 binary64)) |
y |
#s(literal -3 binary64) |
x |
z |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) |
(neg.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) z)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal -3 binary64) y) z)) |
#s(literal -1 binary64) |
(fma.f64 (*.f64 y #s(literal -3 binary64)) x z) |
(fma.f64 x (*.f64 #s(literal -3 binary64) y) z) |
(*.f64 y #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) y) |
y |
#s(literal -3 binary64) |
x |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y #s(literal -3 binary64)) | |
| accuracy | 0.09375 | (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) | |
| accuracy | 0.18359375 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) | |
| accuracy | 0.31126800336720567 | (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) |
| 20.0ms | 256× | 0 | valid |
Compiled 38 to 13 computations (65.8% saved)
ival-mult: 6.0ms (51.2% of total)ival-div: 3.0ms (25.6% of total)ival-add: 1.0ms (8.5% 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal -3 binary64)) (patch (*.f64 y #s(literal -3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (+ (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -3 (/ (* x y) z)) 1) z) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (* 3 (/ (* x y) z)))) z) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ()) |
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#s(alt z (taylor 0 x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -3 (* x y))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -3 (* x y))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -3 (* x y))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 (* x y)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 y))) (* -1/9 (/ z (* x (pow y 2))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* 1/81 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 1/3 (/ 1 y))) (+ (* -1/9 (/ z (* x (pow y 2)))) (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x y)) (taylor inf x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -3 y) (/ z x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -3 y) (/ z x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -3 y) (/ z x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 3)))) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* x (pow y 4)))) (* 1/27 (/ (pow z 2) (pow y 3)))) x)) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((/ 1 (/ -1 (+ (* (* y -3) x) z))) (/ -1 (+ (* (* y -3) x) z)) (+ (* (* y -3) x) z) (* y -3)) |
| 2.0ms | y | @ | inf | ((/ 1 (/ -1 (+ (* (* y -3) x) z))) (/ -1 (+ (* (* y -3) x) z)) (+ (* (* y -3) x) z) (* y -3)) |
| 1.0ms | x | @ | inf | ((/ 1 (/ -1 (+ (* (* y -3) x) z))) (/ -1 (+ (* (* y -3) x) z)) (+ (* (* y -3) x) z) (* y -3)) |
| 1.0ms | y | @ | 0 | ((/ 1 (/ -1 (+ (* (* y -3) x) z))) (/ -1 (+ (* (* y -3) x) z)) (+ (* (* y -3) x) z) (* y -3)) |
| 1.0ms | y | @ | -inf | ((/ 1 (/ -1 (+ (* (* y -3) x) z))) (/ -1 (+ (* (* y -3) x) z)) (+ (* (* y -3) x) z) (* y -3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 262 | 1369 |
| 1 | 801 | 1334 |
| 2 | 2558 | 1303 |
| 3 | 7177 | 1302 |
| 0 | 8283 | 1233 |
| 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))) |
(/ 1/3 (* x y)) |
(+ (* 1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))) |
(+ (* 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 (+ (* 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)))) |
(* -3 (* x y)) |
(+ z (* -3 (* x y))) |
(+ z (* -3 (* x y))) |
(+ 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) |
(/ (- (* -3 (/ (* x y) z)) 1) z) |
(/ (- (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (* 3 (/ (* x y) z)))) z) |
(/ (- (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) z) |
z |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
(* 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 (/ (+ 1 (* 3 (/ (* x y) z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z))) z)) |
z |
(* -1 (* z (- (* 3 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* 3 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* 3 (/ (* x y) z)) 1))) |
(* -1 z) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(/ -1 z) |
(- (* -3 (/ (* x y) (pow z 2))) (/ 1 z)) |
(- (* y (- (* -9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z)) |
(- (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 4))) (* 9 (/ (pow x 2) (pow z 3))))) (* 3 (/ x (pow z 2))))) (/ 1 z)) |
z |
(+ z (* -3 (* x y))) |
(+ z (* -3 (* x y))) |
(+ z (* -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))) |
(/ 1/3 (* x y)) |
(/ (+ (* 1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y) |
(/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 x))) (* -1/9 (/ z (* (pow x 2) y)))) y) |
(/ (- (+ (* 1/81 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 x))) (+ (* -1/9 (/ z (* (pow x 2) y))) (* -1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))))) y) |
(* -3 (* x y)) |
(* y (+ (* -3 x) (/ z y))) |
(* y (+ (* -3 x) (/ z y))) |
(* 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)))) |
(/ 1/3 (* x y)) |
(* -1 (/ (- (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* (pow x 3) y))) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) y)) |
(* -1 (/ (- (* -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))) y)) |
(* -3 (* x y)) |
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x)))) |
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x)))) |
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x)))) |
(* -3 y) |
(* -3 y) |
(* -3 y) |
(* -3 y) |
(* -1 z) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(/ -1 z) |
(- (* -3 (/ (* x y) (pow z 2))) (/ 1 z)) |
(- (* x (- (* -9 (/ (* x (pow y 2)) (pow z 3))) (* 3 (/ y (pow z 2))))) (/ 1 z)) |
(- (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 4))) (* 9 (/ (pow y 2) (pow z 3))))) (* 3 (/ y (pow z 2))))) (/ 1 z)) |
z |
(+ z (* -3 (* x y))) |
(+ z (* -3 (* x y))) |
(+ z (* -3 (* x y))) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(/ 1/3 (* x y)) |
(/ (+ (* 1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x) |
(/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 y))) (* -1/9 (/ z (* x (pow y 2))))) x) |
(/ (- (+ (* 1/81 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 1/3 (/ 1 y))) (+ (* -1/9 (/ z (* x (pow y 2)))) (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))))) x) |
(* -3 (* x y)) |
(* x (+ (* -3 y) (/ z x))) |
(* x (+ (* -3 y) (/ z x))) |
(* 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)))) |
(/ 1/3 (* x y)) |
(* -1 (/ (- (* -1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 3)))) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* x (pow y 4)))) (* 1/27 (/ (pow z 2) (pow y 3)))) x)) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x)) |
(* -3 (* x y)) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
| 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)) |
(/ 1/3 (* x y)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y x)) |
(+ (* 1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))) |
(/.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 x x) y)) #s(literal 1/9 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(+ (* z (+ (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))) |
(fma.f64 (*.f64 #s(literal 1/27 binary64) z) (/.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 x x) y)) #s(literal 1/9 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) |
(+ (* 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)))) |
(fma.f64 (*.f64 z z) (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)))) (/.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 x x) y)) #s(literal 1/9 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) |
(* -3 (* x y)) |
(*.f64 #s(literal -3 binary64) (*.f64 y x)) |
(+ z (* -3 (* x y))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(+ z (* -3 (* x y))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(+ z (* -3 (* x y))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) 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) |
(/.f64 #s(literal -1 binary64) z) |
(/ (- (* -3 (/ (* x y) z)) 1) z) |
(/.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal -1 binary64)) z) |
(/ (- (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (* 3 (/ (* x y) z)))) z) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) (*.f64 y y)) (*.f64 x (/.f64 x z)) (*.f64 #s(literal -3 binary64) (*.f64 y x))) z) #s(literal 1 binary64)) z) |
(/ (- (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) 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 #s(literal -9 binary64) (*.f64 y y)) (*.f64 x (/.f64 x z)) (*.f64 #s(literal -3 binary64) (*.f64 y x))) z) #s(literal 1 binary64))) z) |
z |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64)) z) |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64)) z) |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z)) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(* -1 (/ (+ 1 (* 3 (/ (* x y) z))) z)) |
(/.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal -1 binary64)) z) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z))) z)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 x (/.f64 x z)) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z)) z) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z))) z)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 y #s(literal 3 binary64)) x (/.f64 (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 x x) (*.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) z))) z)) z)) z) |
z |
(* -1 (* 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 (- (* 3 (/ (* x y) z)) 1))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64)) z) |
(* -1 (* 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) (* 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) |
(/.f64 #s(literal -1 binary64) z) |
(- (* -3 (/ (* x y) (pow z 2))) (/ 1 z)) |
(/.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal -1 binary64)) z) |
(- (* y (- (* -9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) (*.f64 y y)) (*.f64 x (/.f64 x z)) (*.f64 #s(literal -3 binary64) (*.f64 y x))) z) #s(literal 1 binary64)) z) |
(- (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 4))) (* 9 (/ (pow x 2) (pow z 3))))) (* 3 (/ x (pow z 2))))) (/ 1 z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) (/.f64 x (pow.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 z #s(literal 4 binary64))))) y (*.f64 (/.f64 x (*.f64 z z)) #s(literal -3 binary64))) y (/.f64 #s(literal -1 binary64) z)) |
z |
(+ z (* -3 (* x y))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(+ z (* -3 (* x y))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(+ z (* -3 (* x y))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y) |
(/ 1/3 (* x y)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y x)) |
(/ (+ (* 1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y) |
(/.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 x x) y)) #s(literal 1/9 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 x))) (* -1/9 (/ z (* (pow x 2) y)))) y) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 z (/.f64 z y)) (*.f64 (/.f64 z (*.f64 x x)) #s(literal 1/9 binary64))) y) (/.f64 #s(literal 1/3 binary64) x)) y) |
(/ (- (+ (* 1/81 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 x))) (+ (* -1/9 (/ z (* (pow x 2) y))) (* -1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 z (/.f64 z y)) (*.f64 (/.f64 z (*.f64 x x)) #s(literal 1/9 binary64))) y) (/.f64 #s(literal 1/3 binary64) x))) y) |
(* -3 (* x y)) |
(*.f64 #s(literal -3 binary64) (*.f64 y x)) |
(* y (+ (* -3 x) (/ z y))) |
(*.f64 (fma.f64 #s(literal -3 binary64) x (/.f64 z y)) y) |
(* y (+ (* -3 x) (/ z y))) |
(*.f64 (fma.f64 #s(literal -3 binary64) x (/.f64 z y)) y) |
(* y (+ (* -3 x) (/ z y))) |
(*.f64 (fma.f64 #s(literal -3 binary64) x (/.f64 z y)) y) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y) |
(/ 1/3 (* x y)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y x)) |
(* -1 (/ (- (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y)) |
(/.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 x x) y)) #s(literal 1/9 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* (pow x 3) y))) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 z (/.f64 z y)) (*.f64 (/.f64 z (*.f64 x x)) #s(literal 1/9 binary64))) y) (/.f64 #s(literal 1/3 binary64) x)) y) |
(* -1 (/ (- (* -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))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 z (*.f64 x x)) #s(literal 1/9 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/27 binary64) z) (/.f64 z (pow.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) y))) (neg.f64 y))) y) (/.f64 #s(literal 1/3 binary64) x)) y) |
(* -3 (* x y)) |
(*.f64 #s(literal -3 binary64) (*.f64 y x)) |
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) x (/.f64 z y)) y) |
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) x (/.f64 z y)) y) |
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) x (/.f64 z y)) y) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* -3 y) |
(*.f64 #s(literal -3 binary64) y) |
(* -1 z) |
(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) (* 3 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(- (* -3 (/ (* x y) (pow z 2))) (/ 1 z)) |
(/.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal -1 binary64)) z) |
(- (* x (- (* -9 (/ (* x (pow y 2)) (pow z 3))) (* 3 (/ y (pow z 2))))) (/ 1 z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -9 binary64) (*.f64 y y)) (/.f64 x (pow.f64 z #s(literal 3 binary64))) (*.f64 (/.f64 y (*.f64 z z)) #s(literal -3 binary64))) x (/.f64 #s(literal -1 binary64) z)) |
(- (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 4))) (* 9 (/ (pow y 2) (pow z 3))))) (* 3 (/ y (pow z 2))))) (/ 1 z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -9 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) x (*.f64 (/.f64 y (*.f64 z z)) #s(literal -3 binary64))) x (/.f64 #s(literal -1 binary64) z)) |
z |
(+ z (* -3 (* x y))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(+ z (* -3 (* x y))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(+ z (* -3 (* x y))) |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(/ 1/3 (* x y)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y x)) |
(/ (+ (* 1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x) |
(/.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 x x) y)) #s(literal 1/9 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 y))) (* -1/9 (/ z (* x (pow y 2))))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 z (/.f64 z y)) (*.f64 (/.f64 z (*.f64 x x)) #s(literal 1/9 binary64))) y) (/.f64 #s(literal 1/3 binary64) x)) y) |
(/ (- (+ (* 1/81 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 1/3 (/ 1 y))) (+ (* -1/9 (/ z (* x (pow y 2)))) (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 z (/.f64 z x)) (*.f64 (/.f64 (/.f64 z y) y) #s(literal 1/9 binary64))) x) (/.f64 #s(literal 1/3 binary64) y))) x) |
(* -3 (* x y)) |
(*.f64 #s(literal -3 binary64) (*.f64 y x)) |
(* x (+ (* -3 y) (/ z x))) |
(*.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 z x)) x) |
(* x (+ (* -3 y) (/ z x))) |
(*.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 z x)) x) |
(* x (+ (* -3 y) (/ z x))) |
(*.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 z x)) x) |
(* 3 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(/ 1/3 (* x y)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y x)) |
(* -1 (/ (- (* -1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x)) |
(/.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 x x) y)) #s(literal 1/9 binary64) (/.f64 #s(literal 1/3 binary64) x)) y) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 3)))) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 z (/.f64 z y)) (*.f64 (/.f64 z (*.f64 x x)) #s(literal 1/9 binary64))) y) (/.f64 #s(literal 1/3 binary64) x)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* x (pow y 4)))) (* 1/27 (/ (pow z 2) (pow y 3)))) x)) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 z y) y) #s(literal 1/9 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/27 binary64) z) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) x))) (neg.f64 x))) x) (/.f64 #s(literal 1/3 binary64) y)) x) |
(* -3 (* x y)) |
(*.f64 #s(literal -3 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 z x)) x) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 z x)) x) |
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 z x)) x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 0 | 15 | 27 |
| 1 | 51 | 25 |
| 2 | 290 | 25 |
| 3 | 2593 | 23 |
| 0 | 8528 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) |
(fma.f64 (*.f64 y #s(literal -3 binary64)) x z) |
(*.f64 y #s(literal -3 binary64)) |
| Outputs |
|---|
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Compiled 25 950 to 2 054 computations (92.1% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 863 | 1 | 864 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 8 | 8 |
| Total | 864 | 9 | 873 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
| ✓ | 50.6% | (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) |
| ✓ | 99.9% | (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
| 51.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* y -3) x) z) (*.f64 #s(literal -3 binary64) (*.f64 y x))))) | |
| ✓ | 51.8% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ✓ | 51.7% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
| ✓ | 51.8% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
| ✓ | 49.6% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
| ✓ | 2.5% | #s(approx (- (* (* x 3) y) z) z) |
Compiled 230 to 117 computations (49.1% saved)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) z) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) 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))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z) |
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* y -3) x) z) (*.f64 #s(literal -3 binary64) (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) |
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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))))) |
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) |
| Outputs |
|---|
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
6 calls:
| 66.0ms | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 16.0ms | x |
| 5.0ms | (*.f64 x #s(literal 3 binary64)) |
| 5.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 99.9% | 1 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 99.9% | 1 | (*.f64 x #s(literal 3 binary64)) |
Compiled 18 to 27 computations (-50% saved)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) z) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) 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))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z) |
(-.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 | y |
| 3.0ms | x |
| 3.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 3.0ms | z |
| 3.0ms | (*.f64 x #s(literal 3 binary64)) |
| 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) z) |
#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))) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z) |
| 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)) |
6 calls:
| 24.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 3.0ms | z |
| 3.0ms | (*.f64 x #s(literal 3 binary64)) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.4% | 3 | x |
| 78.6% | 3 | y |
| 70.7% | 3 | z |
| 69.1% | 5 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 86.5% | 3 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 77.4% | 3 | (*.f64 x #s(literal 3 binary64)) |
Compiled 18 to 27 computations (-50% saved)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) z) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
| Outputs |
|---|
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
6 calls:
| 32.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 2.0ms | z |
| 2.0ms | (*.f64 x #s(literal 3 binary64)) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.6% | 1 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 49.6% | 1 | z |
| 49.6% | 1 | x |
| 49.6% | 1 | (*.f64 x #s(literal 3 binary64)) |
| 49.6% | 1 | y |
| 49.6% | 1 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
Compiled 18 to 27 computations (-50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) z) |
| Outputs |
|---|
#s(approx (- (* (* x 3) y) z) z) |
6 calls:
| 1.0ms | (*.f64 x #s(literal 3 binary64)) |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.5% | 1 | y |
| 2.5% | 1 | z |
| 2.5% | 1 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 2.5% | 1 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 2.5% | 1 | x |
| 2.5% | 1 | (*.f64 x #s(literal 3 binary64)) |
Compiled 18 to 27 computations (-50% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.072478270898652e-16 | 3.1155262692759636e-15 |
| 0.0ms | -3.3622075207291207e+43 | -9.225895395713742e+35 |
Compiled 10 to 13 computations (-30% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 85 |
| 1 | 33 | 85 |
| 2 | 36 | 85 |
| 3 | 37 | 85 |
| 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 -20000000000000000278744233918828198261424128 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 2535301200456459/2535301200456458802993406410752 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)) |
#s(approx (- (* (* x 3) y) z) 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 -20000000000000000278744233918828198261424128 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 2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #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 -20000000000000000278744233918828198261424128 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))))) |
#s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
#s(approx (- (* (* x 3) y) z) z) |
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 |
| 0 | 26 | 121 |
| 0 | 45 | 101 |
| 1 | 167 | 101 |
| 2 | 934 | 94 |
| 0 | 9484 | 94 |
| 0 | 38 | 378 |
| 1 | 118 | 378 |
| 2 | 334 | 378 |
| 3 | 838 | 378 |
| 4 | 2379 | 378 |
| 5 | 4087 | 378 |
| 6 | 6030 | 378 |
| 7 | 7461 | 378 |
| 8 | 7976 | 378 |
| 0 | 8001 | 378 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 84 to 60 computations (28.6% saved)
Compiled 170 to 110 computations (35.3% saved)
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