
Time bar (total: 5.5s)
| 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)
| 1.1s | 8 256× | 0 | valid |
ival-sub: 406.0ms (71.3% of total)ival-mult: 149.0ms (26.2% of total)ival-true: 6.0ms (1.1% of total)exact: 4.0ms (0.7% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 27.0ms | 512× | 0 | valid |
Compiled 68 to 32 computations (52.9% saved)
ival-mult: 9.0ms (71.1% of total)ival-sub: 2.0ms (15.8% 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 |
|---|
(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 |
|---|
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 y (*.f64 #s(literal 3 binary64) x)) |
(*.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 | 0.20703125 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 12.0ms | 256× | 0 | valid |
Compiled 40 to 16 computations (60% saved)
ival-mult: 3.0ms (62.3% of total)ival-sub: 1.0ms (20.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | 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 | x | @ | -inf | ((- (* (* 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 | 837 | 378 |
| 4 | 2382 | 378 |
| 5 | 4079 | 378 |
| 6 | 6024 | 378 |
| 7 | 7456 | 378 |
| 8 | 7969 | 378 |
| 0 | 8022 | 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 |
|---|
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(neg.f64 z) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 #s(literal 3 binary64) x) |
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 |
|---|
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Compiled 10 591 to 720 computations (93.2% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 323 | 5 | 328 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 323 | 6 | 329 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (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)) |
| ▶ | 99.8% | (-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) |
| ✓ | 99.8% | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| ▶ | 53.2% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ▶ | 48.7% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
Compiled 95 to 89 computations (6.3% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | (-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 (*.f64 y x) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 88 |
| 0 | 24 | 88 |
| 1 | 40 | 88 |
| 2 | 46 | 88 |
| 3 | 74 | 88 |
| 4 | 117 | 88 |
| 5 | 201 | 88 |
| 6 | 323 | 88 |
| 7 | 413 | 88 |
| 8 | 438 | 88 |
| 9 | 446 | 88 |
| 0 | 446 | 88 |
| 1× | iter limit |
| 1× | saturated |
| 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) |
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 3 binary64) |
z |
(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 |
| Outputs |
|---|
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(*.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 x y) #s(literal 3 binary64))) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 x y) |
y |
x |
#s(literal 3 binary64) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 x y) |
y |
x |
#s(literal 3 binary64) |
z |
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) |
(*.f64 x y) |
y |
x |
#s(literal 3 binary64) |
(neg.f64 z) |
z |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.1484375 | (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.0078125 | (-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) | |
| accuracy | 0.23046875 | (*.f64 (*.f64 y x) #s(literal 3 binary64)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.23046875 | (*.f64 (*.f64 y x) #s(literal 3 binary64)) | |
| accuracy | 29.7986240662087 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 32.81000129859987 | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.08984375 | (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
| 68.0ms | 256× | 0 | valid |
Compiled 171 to 34 computations (80.1% saved)
ival-mult: 19.0ms (75% of total)ival-sub: 2.0ms (7.9% of total)ival-add: 2.0ms (7.9% of total)ival-neg: 1.0ms (3.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | 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) z) (+ (* (* y x) 3) (neg z))) |
| 1.0ms | 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) z) (+ (* (* y x) 3) (neg z))) |
| 1.0ms | 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) z) (+ (* (* y x) 3) (neg z))) |
| 0.0ms | 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) z) (+ (* (* y x) 3) (neg z))) |
| 0.0ms | 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) z) (+ (* (* y x) 3) (neg z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 1362 |
| 1 | 118 | 1362 |
| 2 | 333 | 1362 |
| 3 | 836 | 1362 |
| 4 | 2381 | 1362 |
| 5 | 4095 | 1362 |
| 6 | 6034 | 1362 |
| 7 | 7470 | 1362 |
| 8 | 7984 | 1362 |
| 0 | 8009 | 1362 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* -1 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 (- (* 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) |
(* -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 (* -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 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) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* 3 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)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 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) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z 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) |
(- (* 3 (* x y)) z) |
(- (* 3 (* x y)) z) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* 3 (* x y)) |
(* 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)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* 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) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
| Outputs |
|---|
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(literal 3 binary64) y) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 x y) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 57 |
| 0 | 24 | 57 |
| 1 | 88 | 57 |
| 2 | 396 | 50 |
| 3 | 4133 | 50 |
| 0 | 8768 | 50 |
| 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) |
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 22 282 to 743 computations (96.7% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 993 | 4 | 997 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 0 | 1 |
| Total | 994 | 9 | 1 003 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (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)) |
| ▶ | 39.6% | (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z (/.f64 z (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)))) |
| ✓ | 99.8% | (-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) |
| ✓ | 53.2% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ▶ | 53.3% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
| ▶ | 53.3% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
| ✓ | 48.7% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
| ▶ | 2.2% | #s(approx (- (* (* x 3) y) z) z) |
Compiled 105 to 83 computations (21% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 9 binary64) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z (/.f64 z (fma.f64 (*.f64 x y) #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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 133 |
| 0 | 35 | 133 |
| 1 | 62 | 133 |
| 2 | 103 | 133 |
| 3 | 223 | 133 |
| 4 | 454 | 133 |
| 5 | 566 | 133 |
| 6 | 647 | 133 |
| 7 | 786 | 133 |
| 8 | 1321 | 133 |
| 9 | 4379 | 133 |
| 10 | 6108 | 133 |
| 11 | 6780 | 133 |
| 12 | 7268 | 133 |
| 13 | 7422 | 133 |
| 14 | 7422 | 133 |
| 15 | 7580 | 133 |
| 16 | 7608 | 133 |
| 17 | 7608 | 133 |
| 18 | 7608 | 133 |
| 19 | 7972 | 133 |
| 0 | 8092 | 133 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z (/.f64 z (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)))) |
(*.f64 x y) |
x |
y |
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) |
(*.f64 #s(literal 9 binary64) (*.f64 x y)) |
#s(literal 9 binary64) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z) |
#s(literal 3 binary64) |
z |
(*.f64 z (/.f64 z (fma.f64 (*.f64 x y) #s(literal 3 binary64) z))) |
(/.f64 z (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) |
| Outputs |
|---|
#s(approx (- (* (* x 3) y) z) z) |
z |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) y) |
(*.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
y |
x |
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) y) |
(*.f64 #s(literal 3 binary64) x) |
x |
#s(literal 3 binary64) |
y |
(fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 y x) #s(literal 3 binary64) z)) x) #s(literal 9 binary64)) (*.f64 y y) (*.f64 (/.f64 z (fma.f64 (*.f64 y x) #s(literal 3 binary64) z)) z)) |
(*.f64 y x) |
x |
y |
(*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 y x) #s(literal 3 binary64) z)) #s(literal 9 binary64)) x) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
#s(literal 9 binary64) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z) |
#s(literal 3 binary64) |
z |
(*.f64 (/.f64 z (fma.f64 (*.f64 y x) #s(literal 3 binary64) z)) z) |
(/.f64 z (fma.f64 (*.f64 y x) #s(literal 3 binary64) z)) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.21640702749971408 | (*.f64 z (/.f64 z (fma.f64 (*.f64 x y) #s(literal 3 binary64) z))) | |
| accuracy | 0.24573004138909577 | (*.f64 #s(literal 9 binary64) (*.f64 x y)) | |
| accuracy | 3.600904030681333 | (/.f64 z (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) | |
| accuracy | 10.441098387969753 | (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) | |
| accuracy | 0 | (*.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.20703125 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) | |
| accuracy | 29.7986240662087 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0.16796875 | (*.f64 (*.f64 #s(literal 3 binary64) y) x) | |
| accuracy | 29.7986240662087 | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) | |
| accuracy | 62.56134326450486 | #s(approx (- (* (* x 3) y) z) z) |
| 33.0ms | 256× | 0 | valid |
Compiled 261 to 44 computations (83.1% saved)
ival-mult: 13.0ms (65% of total)ival-div: 3.0ms (15% of total)ival-add: 2.0ms (10% of total)ival-sub: 1.0ms (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 #<batchref> (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z (/.f64 z (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 z (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 z (/.f64 z (fma.f64 (*.f64 x y) #s(literal 3 binary64) z))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | y | @ | -inf | ((- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z))) (* z (/ z (+ (* (* x y) 3) z)))) (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z)) (* 9 (* x y)) (/ z (+ (* (* x y) 3) z)) (* z (/ z (+ (* (* x y) 3) z)))) |
| 4.0ms | x | @ | inf | ((- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z))) (* z (/ z (+ (* (* x y) 3) z)))) (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z)) (* 9 (* x y)) (/ z (+ (* (* x y) 3) z)) (* z (/ z (+ (* (* x y) 3) z)))) |
| 3.0ms | y | @ | inf | ((- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z))) (* z (/ z (+ (* (* x y) 3) z)))) (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z)) (* 9 (* x y)) (/ z (+ (* (* x y) 3) z)) (* z (/ z (+ (* (* x y) 3) z)))) |
| 3.0ms | x | @ | 0 | ((- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z))) (* z (/ z (+ (* (* x y) 3) z)))) (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z)) (* 9 (* x y)) (/ z (+ (* (* x y) 3) z)) (* z (/ z (+ (* (* x y) 3) z)))) |
| 3.0ms | z | @ | -inf | ((- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z))) (* z (/ z (+ (* (* x y) 3) z)))) (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z)) (* 9 (* x y)) (/ z (+ (* (* x y) 3) z)) (* z (/ z (+ (* (* x y) 3) z)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 672 | 4407 |
| 1 | 2088 | 4277 |
| 2 | 6461 | 4201 |
| 0 | 8323 | 4018 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* -1 z) (* 3 (* x y))) |
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* 3 (* x y)) (* z (- (* 2/3 (/ z (* x y))) 1))) |
(+ (* 3 (* x y)) (* z (- (* z (+ (* -2/9 (/ z (* (pow x 2) (pow y 2)))) (* 2/3 (/ 1 (* x y))))) 1))) |
3 |
(+ 3 (* -1 (/ z (* x y)))) |
(+ 3 (* z (- (* 1/3 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))) |
(+ 3 (* z (- (* z (+ (* -1/9 (/ z (* (pow x 3) (pow y 3)))) (* 1/3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y))))) |
(* 1/3 (/ z (* x y))) |
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) |
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) |
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* -1 z) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
(* z (- (* 3 (/ (* x y) z)) 1)) |
z |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (+ (* -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))))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) |
(* 9 (/ (* x y) z)) |
(/ (+ (* -27 (/ (* (pow x 2) (pow y 2)) z)) (* 9 (* x y))) z) |
(/ (+ (* -27 (/ (* (pow x 2) (pow y 2)) z)) (+ (* 9 (* x y)) (* 81 (/ (* (pow x 3) (pow y 3)) (pow z 2))))) z) |
(/ (+ (* -243 (/ (* (pow x 4) (pow y 4)) (pow z 3))) (+ (* -27 (/ (* (pow x 2) (pow y 2)) z)) (+ (* 9 (* x y)) (* 81 (/ (* (pow x 3) (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 (* -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 (- (* -1 (/ (- (* -1 (/ (- (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -9 (* (pow x 2) (pow y 2))) (* -1 (/ (- (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1))) |
(* 9 (/ (* x y) z)) |
(* -1 (/ (+ (* -9 (* x y)) (* 27 (/ (* (pow x 2) (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -9 (* x y)) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 2))) (* 81 (/ (* (pow x 3) (pow y 3)) z))) z))) z)) |
(* -1 (/ (+ (* -9 (* x y)) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 2))) (* -1 (/ (+ (* -81 (* (pow x 3) (pow y 3))) (* 243 (/ (* (pow x 4) (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) |
(* -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 (* y (- (* y (- (* 9 (/ (pow x 2) z)) (* -9 (/ (pow x 2) z)))) (* 3 x)))) |
(+ z (* y (- (* y (- (+ (* 9 (/ (pow x 2) z)) (* y (- (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))) (* -9 (/ (pow x 2) z)))) (* 3 x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 9 (/ (* x y) z)) |
(* y (+ (* -27 (/ (* (pow x 2) y) (pow z 2))) (* 9 (/ x z)))) |
(* y (+ (* 9 (/ x z)) (* y (+ (* -27 (/ (pow x 2) (pow z 2))) (* 81 (/ (* (pow x 3) y) (pow z 3))))))) |
(* y (+ (* 9 (/ x z)) (* y (+ (* -27 (/ (pow x 2) (pow z 2))) (* y (+ (* -243 (/ (* (pow x 4) y) (pow z 4))) (* 81 (/ (pow x 3) (pow z 3))))))))) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
1 |
(+ 1 (* -3 (/ (* x y) z))) |
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z))))) |
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z))))) |
z |
(+ z (* -3 (* x y))) |
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x)))) |
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x)))) |
(* 3 (* x y)) |
(* y (+ (* -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 (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) |
(* y (- (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
3 |
(+ 3 (* -1 (/ z (* x y)))) |
(+ 3 (+ (* -1 (/ z (* x y))) (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) |
(+ 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 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 1/3 (/ z (* x y))) |
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y) |
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y) |
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y) |
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y) |
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) y))))) |
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow x 2))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -2/3 (/ (pow z 2) x))) y))) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
3 |
(+ 3 (* -1 (/ z (* x y)))) |
(+ 3 (* -1 (/ (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (/ z x)) y))) |
(+ 3 (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 3) (* (pow x 3) y))) (* 1/3 (/ (pow z 2) (pow x 2)))) y)) (/ z x)) y))) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 1/3 (/ z (* x y))) |
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) |
(* -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 (* x (- (* x (- (* 9 (/ (pow y 2) z)) (* -9 (/ (pow y 2) z)))) (* 3 y)))) |
(+ z (* x (- (* x (- (+ (* 9 (/ (pow y 2) z)) (* x (- (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))) (* -9 (/ (pow y 2) z)))) (* 3 y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 9 (/ (* x y) z)) |
(* x (+ (* -27 (/ (* x (pow y 2)) (pow z 2))) (* 9 (/ y z)))) |
(* x (+ (* 9 (/ y z)) (* x (+ (* -27 (/ (pow y 2) (pow z 2))) (* 81 (/ (* x (pow y 3)) (pow z 3))))))) |
(* x (+ (* 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 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
1 |
(+ 1 (* -3 (/ (* x y) z))) |
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z))))) |
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z))))) |
z |
(+ z (* -3 (* x y))) |
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y)))) |
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y)))) |
(* 3 (* x y)) |
(* x (+ (* -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 (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))) |
(* x (- (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))) (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
3 |
(+ 3 (* -1 (/ z (* x y)))) |
(+ 3 (+ (* -1 (/ z (* x y))) (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) |
(+ 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 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 1/3 (/ z (* x y))) |
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x) |
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x) |
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x) |
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x) |
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -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) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow y 2))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -2/3 (/ (pow z 2) y))) x))) x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
3 |
(+ 3 (* -1 (/ z (* x y)))) |
(+ 3 (* -1 (/ (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (/ z y)) x))) |
(+ 3 (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 3)))) (* 1/3 (/ (pow z 2) (pow y 2)))) x)) (/ z y)) x))) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 1/3 (/ z (* x y))) |
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) |
| Outputs |
|---|
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) |
(fma.f64 (fma.f64 (/.f64 z (*.f64 y x)) #s(literal 2/3 binary64) #s(literal -1 binary64)) z (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2/9 binary64) (*.f64 y y)) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 2/3 binary64) (*.f64 y x))) z #s(literal -1 binary64)) z)) |
#s(literal 3 binary64) |
(-.f64 #s(literal 3 binary64) (/.f64 z (*.f64 y x))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 (/.f64 z x) x) (/.f64 #s(literal -1 binary64) (*.f64 y x))) z #s(literal 3 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (*.f64 x x))) z (/.f64 #s(literal -1 binary64) (*.f64 y x))) z #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 y y)) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) z) |
(*.f64 (*.f64 z z) (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 y y)) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1/3 binary64) (*.f64 y x)))) |
(*.f64 (*.f64 z z) (fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x)))) |
(*.f64 (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x)))) |
(neg.f64 z) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(neg.f64 z) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(neg.f64 z) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
z |
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) z) |
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (/.f64 (*.f64 y y) z) z) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9 binary64) x) x) (/.f64 (*.f64 y y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z)) z) |
(*.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)) (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (/.f64 (*.f64 y y) z) z) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9 binary64) x) x) (/.f64 (*.f64 y y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z))) z) |
(*.f64 (*.f64 (/.f64 y z) #s(literal 9 binary64)) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 9 binary64) y) x (*.f64 (*.f64 #s(literal -27 binary64) (*.f64 x x)) (/.f64 (*.f64 y y) z))) z) |
(/.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (*.f64 x x)) (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z) (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) #s(literal 81 binary64) (*.f64 #s(literal 9 binary64) (*.f64 y x)))) z) |
(/.f64 (fma.f64 (*.f64 #s(literal -243 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -27 binary64) (*.f64 x x)) (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z) (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) #s(literal 81 binary64) (*.f64 #s(literal 9 binary64) (*.f64 y x))))) z) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9 binary64) x) x) (/.f64 (*.f64 y y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) 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 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9 binary64) x) x) (/.f64 (*.f64 y y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z))) |
z |
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9 binary64) x) x) (/.f64 (*.f64 y y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z)) 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 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9 binary64) x) x) (/.f64 (*.f64 y y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z))) z) |
(neg.f64 z) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(neg.f64 z) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(neg.f64 z) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z) |
z |
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) (neg.f64 z)) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) (*.f64 x x)) #s(literal -18 binary64) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z) z (neg.f64 z))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (pow.f64 x #s(literal 3 binary64))) #s(literal 54 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal -18 binary64)))) (neg.f64 z))) z)) (neg.f64 z)) |
(*.f64 (*.f64 (/.f64 y z) #s(literal 9 binary64)) x) |
(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) y) x (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 x x)) (/.f64 (*.f64 y y) z))) (neg.f64 z)) |
(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) y) x (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -27 binary64) (*.f64 x x)) y) y (*.f64 (*.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) (neg.f64 z))) (neg.f64 z)) |
(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) y) x (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -27 binary64) (*.f64 x x)) y) y (/.f64 (fma.f64 (*.f64 #s(literal -81 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 243 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) z))) (neg.f64 z))) (neg.f64 z))) (neg.f64 z)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9 binary64) x) x) (/.f64 (*.f64 y y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) 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 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9 binary64) x) x) (/.f64 (*.f64 y y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z))) |
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(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(*.f64 (fma.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 z (/.f64 z y)) (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))) x) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 y y)) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 y y)) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 z (/.f64 z y)) (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))))) x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
#s(literal 3 binary64) |
(-.f64 #s(literal 3 binary64) (/.f64 z (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 (*.f64 z (/.f64 z x)) x) (-.f64 #s(literal 3 binary64) (/.f64 z (*.f64 y x)))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 (*.f64 z (/.f64 z x)) x) (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (-.f64 #s(literal 3 binary64) (/.f64 z (*.f64 y x)))) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) |
(/.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal -1/9 binary64) (*.f64 (/.f64 z y) #s(literal 1/3 binary64))) x) |
(/.f64 (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64))) x)) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (/.f64 (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) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) z) |
(/.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) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x)) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x))) x) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 (*.f64 y x) #s(literal 3 binary64)) |
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z (*.f64 y x))) #s(literal 2/3 binary64) (neg.f64 z)) x) x (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -2/3 binary64) (/.f64 (*.f64 #s(literal 2/9 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y)) x)) x) z) x))) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
#s(literal 3 binary64) |
(-.f64 #s(literal 3 binary64) (/.f64 z (*.f64 y x))) |
(-.f64 #s(literal 3 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) (/.f64 z y)) x)) |
(-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 z y) (/.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)) x)) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (*.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal 1/9 binary64))) (neg.f64 x)) |
(/.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)) |
(/.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)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) z) |
(/.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)) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) (neg.f64 x))) (neg.f64 x)) |
(/.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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 115 |
| 0 | 35 | 115 |
| 1 | 112 | 114 |
| 2 | 730 | 109 |
| 0 | 8455 | 108 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z (/.f64 z (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)))) |
(*.f64 x y) |
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) |
(*.f64 #s(literal 9 binary64) (*.f64 x y)) |
(/.f64 z (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) |
(*.f64 z (/.f64 z (fma.f64 (*.f64 x y) #s(literal 3 binary64) z))) |
| Outputs |
|---|
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Compiled 35 280 to 2 131 computations (94% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 952 | 1 | 953 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 5 | 5 |
| Total | 953 | 9 | 962 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (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)) |
| ▶ | 38.9% | (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) |
| ✓ | 99.8% | (-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) |
| ✓ | 53.2% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ✓ | 53.3% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
| ✓ | 53.3% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
| ✓ | 48.7% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
| ✓ | 2.2% | #s(approx (- (* (* x 3) y) z) z) |
Compiled 108 to 89 computations (17.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 9 binary64) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 82 |
| 0 | 25 | 82 |
| 1 | 44 | 82 |
| 2 | 87 | 82 |
| 3 | 200 | 82 |
| 4 | 400 | 82 |
| 5 | 454 | 82 |
| 0 | 454 | 82 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) |
(*.f64 x y) |
x |
y |
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) |
(*.f64 #s(literal 9 binary64) (*.f64 x y)) |
#s(literal 9 binary64) |
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z) |
#s(literal 3 binary64) |
z |
(*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) |
#s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 #s(literal 3 binary64) (*.f64 y x) z)) y) #s(literal 9 binary64)) (*.f64 x x) (*.f64 #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) z)) |
(*.f64 y x) |
x |
y |
(*.f64 (*.f64 (/.f64 y (fma.f64 #s(literal 3 binary64) (*.f64 y x) z)) #s(literal 9 binary64)) x) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
#s(literal 9 binary64) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) z) |
#s(literal 3 binary64) |
z |
(*.f64 #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) z) |
#s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.21640702749971408 | (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) | |
| accuracy | 0.24573004138909577 | (*.f64 #s(literal 9 binary64) (*.f64 x y)) | |
| accuracy | 10.441098387969753 | (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) | |
| accuracy | 32.570920069585846 | #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) |
| 26.0ms | 256× | 0 | valid |
Compiled 170 to 35 computations (79.4% saved)
ival-mult: 7.0ms (52% of total)ival-div: 3.0ms (22.3% of total)ival-add: 2.0ms (14.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ (* (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z))) (* z (/ z (+ (* (* x y) 3) z)))) (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z)) (* 9 (* x y)) (/ z (+ (* (* x y) 3) z)) (* z (/ z (+ (* (* x y) 3) z)))) |
| 1.0ms | x | @ | -inf | ((+ (* (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z))) (* z (/ z (+ (* (* x y) 3) z)))) (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z)) (* 9 (* x y)) (/ z (+ (* (* x y) 3) z)) (* z (/ z (+ (* (* x y) 3) z)))) |
| 1.0ms | x | @ | inf | ((+ (* (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z))) (* z (/ z (+ (* (* x y) 3) z)))) (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z)) (* 9 (* x y)) (/ z (+ (* (* x y) 3) z)) (* z (/ z (+ (* (* x y) 3) z)))) |
| 1.0ms | y | @ | inf | ((+ (* (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z))) (* z (/ z (+ (* (* x y) 3) z)))) (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z)) (* 9 (* x y)) (/ z (+ (* (* x y) 3) z)) (* z (/ z (+ (* (* x y) 3) z)))) |
| 1.0ms | y | @ | 0 | ((+ (* (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z))) (* z (/ z (+ (* (* x y) 3) z)))) (* x y) (/ (* 9 (* x y)) (+ (* (* x y) 3) z)) (* 9 (* x y)) (/ z (+ (* (* x y) 3) z)) (* z (/ z (+ (* (* x y) 3) z)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 670 | 3250 |
| 1 | 2082 | 3155 |
| 2 | 6425 | 3079 |
| 0 | 8260 | 2914 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (* x y)) |
(+ (* -1 z) (* 3 (* x y))) |
(+ (* 3 (* x y)) (* z (- (* 2/3 (/ z (* x y))) 1))) |
(+ (* 3 (* x y)) (* z (- (* z (+ (* -2/9 (/ z (* (pow x 2) (pow y 2)))) (* 2/3 (/ 1 (* x y))))) 1))) |
3 |
(+ 3 (* -1 (/ z (* x y)))) |
(+ 3 (* z (- (* 1/3 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))) |
(+ 3 (* z (- (* z (+ (* -1/9 (/ z (* (pow x 3) (pow y 3)))) (* 1/3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y))))) |
(* 1/3 (/ z (* x y))) |
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) |
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) |
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) |
z |
(* z (+ 1 (* -3 (/ (* x y) z)))) |
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (+ (* -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))))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) |
(* 9 (/ (* x y) z)) |
(/ (+ (* -27 (/ (* (pow x 2) (pow y 2)) z)) (* 9 (* x y))) z) |
(/ (+ (* -27 (/ (* (pow x 2) (pow y 2)) z)) (+ (* 9 (* x y)) (* 81 (/ (* (pow x 3) (pow y 3)) (pow z 2))))) z) |
(/ (+ (* -243 (/ (* (pow x 4) (pow y 4)) (pow z 3))) (+ (* -27 (/ (* (pow x 2) (pow y 2)) z)) (+ (* 9 (* x y)) (* 81 (/ (* (pow x 3) (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))))) |
z |
(* -1 (* z (- (* 3 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -9 (* (pow x 2) (pow y 2))) (* -1 (/ (- (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1))) |
(* 9 (/ (* x y) z)) |
(* -1 (/ (+ (* -9 (* x y)) (* 27 (/ (* (pow x 2) (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -9 (* x y)) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 2))) (* 81 (/ (* (pow x 3) (pow y 3)) z))) z))) z)) |
(* -1 (/ (+ (* -9 (* x y)) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 2))) (* -1 (/ (+ (* -81 (* (pow x 3) (pow y 3))) (* 243 (/ (* (pow x 4) (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))) |
z |
(+ z (* -3 (* x y))) |
(+ z (* y (- (* y (- (* 9 (/ (pow x 2) z)) (* -9 (/ (pow x 2) z)))) (* 3 x)))) |
(+ z (* y (- (* y (- (+ (* 9 (/ (pow x 2) z)) (* y (- (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))) (* -9 (/ (pow x 2) z)))) (* 3 x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 9 (/ (* x y) z)) |
(* y (+ (* -27 (/ (* (pow x 2) y) (pow z 2))) (* 9 (/ x z)))) |
(* y (+ (* 9 (/ x z)) (* y (+ (* -27 (/ (pow x 2) (pow z 2))) (* 81 (/ (* (pow x 3) y) (pow z 3))))))) |
(* y (+ (* 9 (/ x z)) (* y (+ (* -27 (/ (pow x 2) (pow z 2))) (* y (+ (* -243 (/ (* (pow x 4) y) (pow z 4))) (* 81 (/ (pow x 3) (pow z 3))))))))) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
1 |
(+ 1 (* -3 (/ (* x y) z))) |
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z))))) |
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z))))) |
z |
(+ z (* -3 (* x y))) |
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x)))) |
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x)))) |
(* 3 (* x y)) |
(* y (+ (* -1 (/ z y)) (* 3 x))) |
(* y (+ (* -1 (/ z y)) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) |
(* y (- (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
3 |
(+ 3 (* -1 (/ z (* x y)))) |
(+ 3 (+ (* -1 (/ z (* x y))) (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) |
(+ 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 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 1/3 (/ z (* x y))) |
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y) |
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y) |
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y) |
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y) |
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y) |
(* 3 (* x y)) |
(* -1 (* y (+ (* -3 x) (/ z y)))) |
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) y))))) |
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow x 2))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -2/3 (/ (pow z 2) x))) y))) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
3 |
(+ 3 (* -1 (/ z (* x y)))) |
(+ 3 (* -1 (/ (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (/ z x)) y))) |
(+ 3 (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 3) (* (pow x 3) y))) (* 1/3 (/ (pow z 2) (pow x 2)))) y)) (/ z x)) y))) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 1/3 (/ z (* x y))) |
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) |
z |
(+ z (* -3 (* x y))) |
(+ z (* x (- (* x (- (* 9 (/ (pow y 2) z)) (* -9 (/ (pow y 2) z)))) (* 3 y)))) |
(+ z (* x (- (* x (- (+ (* 9 (/ (pow y 2) z)) (* x (- (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))) (* -9 (/ (pow y 2) z)))) (* 3 y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 9 (/ (* x y) z)) |
(* x (+ (* -27 (/ (* x (pow y 2)) (pow z 2))) (* 9 (/ y z)))) |
(* x (+ (* 9 (/ y z)) (* x (+ (* -27 (/ (pow y 2) (pow z 2))) (* 81 (/ (* x (pow y 3)) (pow z 3))))))) |
(* x (+ (* 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 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
1 |
(+ 1 (* -3 (/ (* x y) z))) |
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z))))) |
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z))))) |
z |
(+ z (* -3 (* x y))) |
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y)))) |
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y)))) |
(* 3 (* x y)) |
(* x (+ (* -1 (/ z x)) (* 3 y))) |
(* x (+ (* -1 (/ z x)) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))) |
(* x (- (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))) (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
3 |
(+ 3 (* -1 (/ z (* x y)))) |
(+ 3 (+ (* -1 (/ z (* x y))) (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) |
(+ 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 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 1/3 (/ z (* x y))) |
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x) |
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x) |
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x) |
(* 1/3 (/ (pow z 2) (* x y))) |
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x) |
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x) |
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x) |
(* 3 (* x y)) |
(* -1 (* x (+ (* -3 y) (/ z x)))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) x))))) |
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow y 2))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -2/3 (/ (pow z 2) y))) x))) x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
3 |
(+ 3 (* -1 (/ z (* x y)))) |
(+ 3 (* -1 (/ (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (/ z y)) x))) |
(+ 3 (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 3)))) (* 1/3 (/ (pow z 2) (pow y 2)))) x)) (/ z y)) x))) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 9 (* x y)) |
(* 1/3 (/ z (* x y))) |
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) |
(* 1/3 (/ (pow z 2) (* x y))) |
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) |
| Outputs |
|---|
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z)) |
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(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(fma.f64 (fma.f64 #s(literal -3 binary64) y (*.f64 (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y y) z)) x)) x z) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -54 binary64)) (*.f64 z z)) x (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y y) z))) x (*.f64 #s(literal -3 binary64) y)) x z) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 (*.f64 (/.f64 y z) #s(literal 9 binary64)) x) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 y y) z) z) #s(literal -27 binary64)) x (*.f64 (/.f64 y z) #s(literal 9 binary64))) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal 81 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 y y) z) z) #s(literal -27 binary64))) x (*.f64 (/.f64 y z) #s(literal 9 binary64))) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 81 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -243 binary64)) (pow.f64 z #s(literal 4 binary64)))) x (*.f64 (/.f64 (/.f64 (*.f64 y y) z) z) #s(literal -27 binary64))) x (*.f64 (/.f64 y z) #s(literal 9 binary64))) x) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 9 binary64) z) (*.f64 (/.f64 (*.f64 y y) z) x) (*.f64 (/.f64 y z) #s(literal -3 binary64))) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27 binary64) x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 y y) z) z) #s(literal 9 binary64))) x (*.f64 (/.f64 y z) #s(literal -3 binary64))) x #s(literal 1 binary64)) |
z |
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z) |
(fma.f64 (fma.f64 #s(literal -3 binary64) y (*.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 9 binary64))) x z) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27 binary64) x) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z) (*.f64 (/.f64 (*.f64 y y) z) #s(literal 9 binary64))) x (*.f64 #s(literal -3 binary64) y)) x z) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x) |
(*.f64 (fma.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 z (/.f64 z y)) (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))) x) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 y y)) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 y y)) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 z (/.f64 z y)) (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x))))) x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
#s(literal 3 binary64) |
(-.f64 #s(literal 3 binary64) (/.f64 z (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 (*.f64 z (/.f64 z x)) x) (-.f64 #s(literal 3 binary64) (/.f64 z (*.f64 y x)))) |
(+.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 (*.f64 z (/.f64 z x)) x))) (-.f64 #s(literal 3 binary64) (/.f64 z (*.f64 y x)))) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) |
(/.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal -1/9 binary64) (*.f64 (/.f64 z y) #s(literal 1/3 binary64))) x) |
(/.f64 (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64))) x)) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (/.f64 (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) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) z) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) x) (*.f64 (*.f64 z (/.f64 z x)) #s(literal 1/3 binary64))) y) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x)) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x))) x) |
(*.f64 #s(literal 3 binary64) (*.f64 y x)) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z (*.f64 y x))) #s(literal 2/3 binary64) (neg.f64 z)) x) x (*.f64 #s(literal 3 binary64) (*.f64 y x))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -2/3 binary64) (/.f64 (*.f64 #s(literal 2/9 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y)) x)) x) z) x))) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
#s(literal 3 binary64) |
(-.f64 #s(literal 3 binary64) (/.f64 z (*.f64 y x))) |
(-.f64 #s(literal 3 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) (/.f64 z y)) x)) |
(-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 z y) (/.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)) x)) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
(*.f64 #s(literal 9 binary64) (*.f64 y x)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (*.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal 1/9 binary64))) (neg.f64 x)) |
(/.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)) |
(/.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)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) z) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) (*.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64))) (neg.f64 x)) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) (neg.f64 x))) (neg.f64 x)) |
(/.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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 70 |
| 0 | 25 | 70 |
| 1 | 80 | 69 |
| 2 | 572 | 69 |
| 0 | 8250 | 68 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) |
(*.f64 x y) |
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) |
(*.f64 #s(literal 9 binary64) (*.f64 x y)) |
#s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)) |
(*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64))) |
| Outputs |
|---|
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Compiled 27 216 to 1 614 computations (94.1% saved)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 565 | 0 | 565 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 565 | 9 | 574 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (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)) |
| ✓ | 38.9% | (fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) |
| ✓ | 99.8% | (-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) |
| ✓ | 53.2% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) |
| ✓ | 53.3% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) |
| ✓ | 53.3% | #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) |
| ✓ | 48.7% | #s(approx (- (* (* x 3) y) z) (neg.f64 z)) |
| ✓ | 2.2% | #s(approx (- (* (* x 3) y) z) z) |
Compiled 249 to 130 computations (47.8% 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))) |
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) 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)) |
(fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z #s(approx (/ z (+ (* (* x y) 3) z)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 z (/.f64 z (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)))) |
| Outputs |
|---|
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) |
6 calls:
| 141.0ms | z |
| 4.0ms | (*.f64 x #s(literal 3 binary64)) |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 99.9% | 1 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 99.9% | 1 | (*.f64 x #s(literal 3 binary64)) |
Compiled 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))) |
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z) |
| Outputs |
|---|
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
6 calls:
| 87.0ms | x |
| 3.0ms | (*.f64 x #s(literal 3 binary64)) |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 99.8% | 1 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 99.8% | 1 | (*.f64 x #s(literal 3 binary64)) |
Compiled 18 to 27 computations (-50% saved)
| Inputs |
|---|
#s(approx (- (* (* x 3) y) z) 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))) |
| 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:
| 3.0ms | (*.f64 x #s(literal 3 binary64)) |
| 2.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.2% | 3 | x |
| 77.0% | 3 | y |
| 77.6% | 3 | z |
| 70.4% | 5 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 81.8% | 3 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 75.2% | 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:
| 20.0ms | z |
| 18.0ms | y |
| 2.0ms | (*.f64 x #s(literal 3 binary64)) |
| 2.0ms | x |
| 2.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.7% | 1 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 48.7% | 1 | x |
| 48.7% | 1 | (*.f64 x #s(literal 3 binary64)) |
| 48.7% | 1 | y |
| 48.7% | 1 | z |
| 48.7% | 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 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 1.0ms | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.2% | 1 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) |
| 2.2% | 1 | (*.f64 (*.f64 x #s(literal 3 binary64)) y) |
| 2.2% | 1 | z |
| 2.2% | 1 | x |
| 2.2% | 1 | (*.f64 x #s(literal 3 binary64)) |
| 2.2% | 1 | y |
Compiled 18 to 27 computations (-50% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1548449230101318e-42 | 1.28811263569703e-24 |
| 0.0ms | -4.57768147700162e+98 | -9.7507881844031e+94 |
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 -399999999999999999076148098057483202786450191969615355682227455864390346192518705911647729914740736 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 6277101735386681/3138550867693340381917894711603833208051177722232017256448 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 #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 -399999999999999999076148098057483202786450191969615355682227455864390346192518705911647729914740736 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 6277101735386681/3138550867693340381917894711603833208051177722232017256448 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 | 16 | 57 |
| 0 | 24 | 57 |
| 1 | 88 | 57 |
| 2 | 396 | 50 |
| 3 | 4133 | 50 |
| 0 | 8768 | 50 |
| 0 | 7 | 15 |
| 0 | 10 | 15 |
| 1 | 28 | 15 |
| 2 | 184 | 15 |
| 3 | 1862 | 15 |
| 0 | 8723 | 15 |
| 0 | 38 | 378 |
| 1 | 118 | 378 |
| 2 | 334 | 378 |
| 3 | 837 | 378 |
| 4 | 2382 | 378 |
| 5 | 4079 | 378 |
| 6 | 6024 | 378 |
| 7 | 7456 | 378 |
| 8 | 7969 | 378 |
| 0 | 8022 | 378 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 133 to 72 computations (45.9% saved)
Compiled 240 to 118 computations (50.8% saved)
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