
Time bar (total: 9.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 93.8% | 93.6% | 6.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 15 to 14 computations (6.7% saved)
| 1.0s | 8 256× | 0 | valid |
ival-add: 341.0ms (43.6% of total)ival-mult: 320.0ms (40.9% of total)ival-div: 64.0ms (8.2% of total)ival-sub: 38.0ms (4.9% of total)exact: 10.0ms (1.3% of total)ival-true: 6.0ms (0.8% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 y #s(literal 1/4 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 1/4 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1/4 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) | o/n | 1 | 0 |
| ↳ | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 51.0ms | 512× | 0 | valid |
Compiled 128 to 40 computations (68.8% saved)
ival-mult: 10.0ms (34.7% of total)ival-sub: 9.0ms (31.2% of total)ival-add: 5.0ms (17.4% of total)ival-div: 4.0ms (13.9% of total)ival-true: 1.0ms (3.5% of total)exact: 1.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 7 292× | lower-fma.f64 |
| 7 292× | lower-fma.f32 |
| 2 920× | lower-/.f32 |
| 2 918× | lower-/.f64 |
| 2 674× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 130 |
| 1 | 124 | 117 |
| 2 | 374 | 117 |
| 3 | 1076 | 101 |
| 4 | 3227 | 85 |
| 5 | 7480 | 85 |
| 0 | 12 | 13 |
| 0 | 18 | 13 |
| 1 | 30 | 13 |
| 2 | 58 | 13 |
| 3 | 110 | 13 |
| 4 | 211 | 11 |
| 5 | 474 | 9 |
| 6 | 1472 | 9 |
| 7 | 4626 | 9 |
| 0 | 8107 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) |
Compiled 16 to 12 computations (25% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
Compiled 16 to 12 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) | |
| cost-diff | 128 | (+.f64 x (*.f64 y #s(literal 1/4 binary64))) | |
| cost-diff | 192 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) | |
| cost-diff | 320 | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) |
| 7 292× | lower-fma.f64 |
| 7 292× | lower-fma.f32 |
| 2 920× | lower-/.f32 |
| 2 918× | lower-/.f64 |
| 2 674× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 54 |
| 0 | 18 | 54 |
| 1 | 30 | 54 |
| 2 | 58 | 54 |
| 3 | 110 | 54 |
| 4 | 211 | 48 |
| 5 | 474 | 46 |
| 6 | 1472 | 46 |
| 7 | 4626 | 46 |
| 0 | 8107 | 41 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) |
#s(literal 4 binary64) |
(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) |
(+.f64 x (*.f64 y #s(literal 1/4 binary64))) |
x |
(*.f64 y #s(literal 1/4 binary64)) |
y |
#s(literal 1/4 binary64) |
z |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
#s(literal 4 binary64) |
(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) |
(-.f64 x (fma.f64 y #s(literal -1/4 binary64) z)) |
(+.f64 x (*.f64 y #s(literal 1/4 binary64))) |
(fma.f64 y #s(literal 1/4 binary64) x) |
x |
(*.f64 y #s(literal 1/4 binary64)) |
y |
#s(literal 1/4 binary64) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y #s(literal 1/4 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) | |
| accuracy | 0.015625 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) | |
| accuracy | 0.2669847401541956 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 17.0ms | 256× | 0 | valid |
Compiled 56 to 14 computations (75% saved)
ival-mult: 3.0ms (34.1% of total)ival-div: 2.0ms (22.7% of total)ival-add: 2.0ms (22.7% of total)ival-sub: 1.0ms (11.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) #<representation binary64>) () ()) |
#s(alt (+.f64 x (*.f64 y #s(literal 1/4 binary64))) (patch (+.f64 x (*.f64 y #s(literal 1/4 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 4 (- (* 1/4 y) z)) (taylor 0 x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 x) (* 4 (- (* 1/4 y) z))) (taylor 0 x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 x) (* 4 (- (* 1/4 y) z))) (taylor 0 x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 x) (* 4 (- (* 1/4 y) z))) (taylor 0 x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 x) (taylor inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (- x z)) (taylor 0 y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 4 (- x z))) (taylor 0 y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 4 (- x z))) (taylor 0 y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 4 (- x z))) (taylor 0 y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 4 (/ (- x z) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 4 (/ (- x z) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 4 (/ (- x z) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -4 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -4 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -4 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (+ x (* 1/4 y))) (taylor 0 z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 z) (* 4 (+ x (* 1/4 y)))) (taylor 0 z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 z) (* 4 (+ x (* 1/4 y)))) (taylor 0 z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 z) (* 4 (+ x (* 1/4 y)))) (taylor 0 z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -4 z) (taylor inf z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) (taylor inf z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) (taylor inf z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) (taylor inf z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -4 z) (taylor -inf z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) (taylor -inf z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/4))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y #s(literal 1/4 binary64))) (patch (+.f64 x (*.f64 y #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (- (* 1/4 y) z) y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (- x z) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* 4 (- x z))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* 4 (- x z))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* 4 (- x z))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (+ x (* 1/4 y)) y)) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (/ z y)) (taylor -inf z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/4 binary64)) (patch (*.f64 y #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) |
| 1.0ms | x | @ | inf | (/ (* 4 (- (+ x (* y 1/4)) z)) y) |
| 1.0ms | y | @ | inf | (* 4 (- (+ x (* y 1/4)) z)) |
| 1.0ms | x | @ | -inf | (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) |
| 0.0ms | x | @ | inf | (* 4 (- (+ x (* y 1/4)) z)) |
| 1× | egg-herbie |
| 16 484× | lower-fma.f64 |
| 16 484× | lower-fma.f32 |
| 5 278× | lower-*.f64 |
| 5 278× | lower-*.f32 |
| 2 388× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 1280 |
| 1 | 360 | 1259 |
| 2 | 961 | 1020 |
| 3 | 3605 | 976 |
| 0 | 8398 | 865 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4 (- (* 1/4 y) z)) |
(+ (* 4 x) (* 4 (- (* 1/4 y) z))) |
(+ (* 4 x) (* 4 (- (* 1/4 y) z))) |
(+ (* 4 x) (* 4 (- (* 1/4 y) z))) |
(* 4 x) |
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) |
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) |
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) |
(* 4 x) |
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) |
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) |
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) |
(* 4 (- x z)) |
(+ y (* 4 (- x z))) |
(+ y (* 4 (- x z))) |
(+ y (* 4 (- x z))) |
y |
(* y (+ 1 (* 4 (/ (- x z) y)))) |
(* y (+ 1 (* 4 (/ (- x z) y)))) |
(* y (+ 1 (* 4 (/ (- x z) y)))) |
y |
(* -1 (* y (- (* -4 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 1))) |
(* 4 (+ x (* 1/4 y))) |
(+ (* -4 z) (* 4 (+ x (* 1/4 y)))) |
(+ (* -4 z) (* 4 (+ x (* 1/4 y)))) |
(+ (* -4 z) (* 4 (+ x (* 1/4 y)))) |
(* -4 z) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(* -4 z) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* 1/4 y) |
(+ x (* 1/4 y)) |
(+ x (* 1/4 y)) |
(+ x (* 1/4 y)) |
x |
(* x (+ 1 (* 1/4 (/ y x)))) |
(* x (+ 1 (* 1/4 (/ y x)))) |
(* x (+ 1 (* 1/4 (/ y x)))) |
x |
(* -1 (* x (- (* -1/4 (/ y x)) 1))) |
(* -1 (* x (- (* -1/4 (/ y x)) 1))) |
(* -1 (* x (- (* -1/4 (/ y x)) 1))) |
x |
(+ x (* 1/4 y)) |
(+ x (* 1/4 y)) |
(+ x (* 1/4 y)) |
(* 1/4 y) |
(* y (+ 1/4 (/ x y))) |
(* y (+ 1/4 (/ x y))) |
(* y (+ 1/4 (/ x y))) |
(* 1/4 y) |
(* -1 (* y (- (* -1 (/ x y)) 1/4))) |
(* -1 (* y (- (* -1 (/ x y)) 1/4))) |
(* -1 (* y (- (* -1 (/ x y)) 1/4))) |
(* 4 (/ (- (* 1/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ y (* 4 (- x z))) y) |
(/ (+ y (* 4 (- x z))) y) |
(/ (+ y (* 4 (- x z))) y) |
1 |
(+ 1 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (- x z) y))) |
1 |
(+ 1 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (- x z) y))) |
(* 4 (/ (+ x (* 1/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(* -4 (/ z y)) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
| Outputs |
|---|
(* 4 (- (* 1/4 y) z)) |
(fma.f64 z #s(literal -4 binary64) y) |
(+ (* 4 x) (* 4 (- (* 1/4 y) z))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
(+ (* 4 x) (* 4 (- (* 1/4 y) z))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
(+ (* 4 x) (* 4 (- (* 1/4 y) z))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
(* 4 (- x z)) |
(*.f64 #s(literal 4 binary64) (-.f64 x z)) |
(+ y (* 4 (- x z))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
(+ y (* 4 (- x z))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
(+ y (* 4 (- x z))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
y |
(* y (+ 1 (* 4 (/ (- x z) y)))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
(* y (+ 1 (* 4 (/ (- x z) y)))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
(* y (+ 1 (* 4 (/ (- x z) y)))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
y |
(* -1 (* y (- (* -4 (/ (- x z) y)) 1))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 1))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 1))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
(* 4 (+ x (* 1/4 y))) |
(fma.f64 #s(literal 4 binary64) x y) |
(+ (* -4 z) (* 4 (+ x (* 1/4 y)))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
(+ (* -4 z) (* 4 (+ x (* 1/4 y)))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
(+ (* -4 z) (* 4 (+ x (* 1/4 y)))) |
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y) |
(* -4 z) |
(*.f64 z #s(literal -4 binary64)) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64))) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64))) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64))) |
(* -4 z) |
(*.f64 z #s(literal -4 binary64)) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64))) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(* 4 (/ x y)) |
(/.f64 x (*.f64 #s(literal 1/4 binary64) y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(* 4 (/ x y)) |
(/.f64 x (*.f64 #s(literal 1/4 binary64) y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) x))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) x))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) x))) |
(* 4 (/ (- x z) y)) |
(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(* -4 (/ z y)) |
(*.f64 #s(literal -4 binary64) (/.f64 z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(* -4 (/ z y)) |
(*.f64 #s(literal -4 binary64) (/.f64 z y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(+ x (* 1/4 y)) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(+ x (* 1/4 y)) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(+ x (* 1/4 y)) |
(fma.f64 #s(literal 1/4 binary64) y x) |
x |
(* x (+ 1 (* 1/4 (/ y x)))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(* x (+ 1 (* 1/4 (/ y x)))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(* x (+ 1 (* 1/4 (/ y x)))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
x |
(* -1 (* x (- (* -1/4 (/ y x)) 1))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(* -1 (* x (- (* -1/4 (/ y x)) 1))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(* -1 (* x (- (* -1/4 (/ y x)) 1))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
x |
(+ x (* 1/4 y)) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(+ x (* 1/4 y)) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(+ x (* 1/4 y)) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* y (+ 1/4 (/ x y))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(* y (+ 1/4 (/ x y))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(* y (+ 1/4 (/ x y))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* -1 (* y (- (* -1 (/ x y)) 1/4))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(* -1 (* y (- (* -1 (/ x y)) 1/4))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(* -1 (* y (- (* -1 (/ x y)) 1/4))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(* 4 (/ (- (* 1/4 y) z) y)) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(* 4 (/ x y)) |
(/.f64 x (*.f64 #s(literal 1/4 binary64) y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(* 4 (/ x y)) |
(/.f64 x (*.f64 #s(literal 1/4 binary64) y)) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(* 4 (/ (- x z) y)) |
(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) |
(/ (+ y (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) y) y) |
(/ (+ y (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) y) y) |
(/ (+ y (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) y) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(+ 1 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(+ 1 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(+ 1 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(+ 1 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(* 4 (/ (+ x (* 1/4 y)) y)) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(* -4 (/ z y)) |
(*.f64 #s(literal -4 binary64) (/.f64 z y)) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(* -4 (/ z y)) |
(*.f64 #s(literal -4 binary64) (/.f64 z y)) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
| 6 902× | lower-fma.f64 |
| 6 902× | lower-fma.f32 |
| 5 372× | lower-*.f32 |
| 5 368× | lower-*.f64 |
| 3 676× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 41 |
| 0 | 18 | 41 |
| 1 | 74 | 41 |
| 2 | 629 | 41 |
| 0 | 8480 | 36 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
(+.f64 x (*.f64 y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
(*.f64 y #s(literal 1/4 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 1/4 binary64)) z))) |
(+.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 1/4 binary64)) z)) (*.f64 #s(literal 4 binary64) x)) |
(+.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) |
(+.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) #s(literal 4 binary64))) |
(+.f64 (*.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) #s(literal 4 binary64)) (*.f64 x #s(literal 4 binary64))) |
(+.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (*.f64 #s(literal -4 binary64) z)) |
(+.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (*.f64 (neg.f64 z) #s(literal 4 binary64))) |
(+.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) |
(/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) |
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z)))) (*.f64 y (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))))) |
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))) (*.f64 y (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z))) #s(literal 4 binary64)) (*.f64 y (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) #s(literal 4 binary64)) (*.f64 y (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))) |
(/.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)) #s(literal -1 binary64)) y) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z))))) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))))) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z))) #s(literal 4 binary64))) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) #s(literal 4 binary64))) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) |
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 4 binary64) y)) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 4 binary64) y)) (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) (fma.f64 y #s(literal 1/4 binary64) x))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (/.f64 #s(literal 4 binary64) y)) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 4 binary64) y)) (neg.f64 (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))))) |
(/.f64 (*.f64 (*.f64 (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (neg.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) (/.f64 #s(literal 4 binary64) y)) (fma.f64 y #s(literal -1/4 binary64) (neg.f64 (+.f64 x z)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) (-.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) x))) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (/.f64 #s(literal 4 binary64) y)) (fma.f64 x x (*.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) (-.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) x)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (-.f64 x (-.f64 (*.f64 y #s(literal 1/4 binary64)) z))) (/.f64 #s(literal 4 binary64) y)) (-.f64 x (-.f64 (*.f64 y #s(literal 1/4 binary64)) z))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))) (/.f64 #s(literal 1 binary64) y)) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) |
(pow.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) y)) |
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) y) #s(literal 1 binary64))) |
(*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y)) |
(*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) |
(*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (*.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))) |
(*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y))) |
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)))) (/.f64 #s(literal 4 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (/.f64 #s(literal 4 binary64) y))) |
(*.f64 (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) y) #s(literal 4 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)) y)) |
(*.f64 (neg.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) y)) |
(*.f64 #s(literal -4 binary64) (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) |
(*.f64 (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y)) |
(*.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y)) |
(*.f64 (pow.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) |
(/.f64 y #s(literal 4 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) |
(/.f64 (neg.f64 y) #s(literal -4 binary64)) |
(*.f64 y #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) y) |
Compiled 12 519 to 1 390 computations (88.9% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 466 | 8 | 474 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 467 | 8 | 475 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))) |
| ▶ | 99.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) |
| ▶ | 65.2% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) |
| 71.7% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) | |
| 64.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) | |
| ▶ | 30.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) |
| 37.5% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) | |
| ▶ | 36.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
Compiled 162 to 112 computations (30.9% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) | |
| cost-diff | 0 | (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) | |
| cost-diff | 192 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))) | |
| cost-diff | 704 | (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/4 binary64) y) | |
| cost-diff | 0 | (/.f64 x (*.f64 #s(literal 1/4 binary64) y)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) y) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) |
| 16 068× | lower-fma.f32 |
| 16 062× | lower-fma.f64 |
| 3 258× | lower-*.f32 |
| 3 256× | lower-*.f64 |
| 1 806× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 166 |
| 0 | 43 | 166 |
| 1 | 73 | 166 |
| 2 | 125 | 166 |
| 3 | 265 | 159 |
| 4 | 427 | 141 |
| 5 | 1208 | 141 |
| 6 | 4289 | 141 |
| 0 | 8168 | 140 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(-.f64 x z) |
x |
z |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) |
(/.f64 x (*.f64 #s(literal 1/4 binary64) y)) |
x |
(*.f64 #s(literal 1/4 binary64) y) |
#s(literal 1/4 binary64) |
y |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
#s(literal 4 binary64) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) |
#s(literal 4 binary64) |
(/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) |
y |
(-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) |
(fma.f64 y #s(literal 1/4 binary64) x) |
#s(literal 1/4 binary64) |
x |
z |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) |
(-.f64 x z) |
x |
z |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 y #s(literal 1/4 binary64)))) |
(/.f64 x (*.f64 #s(literal 1/4 binary64) y)) |
(/.f64 x (*.f64 y #s(literal 1/4 binary64))) |
x |
(*.f64 #s(literal 1/4 binary64) y) |
(*.f64 y #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
y |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
#s(literal 4 binary64) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) |
#s(literal 4 binary64) |
(/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) |
(/.f64 y (-.f64 x (fma.f64 y #s(literal -1/4 binary64) z))) |
y |
(-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) |
(-.f64 x (fma.f64 y #s(literal -1/4 binary64) z)) |
(fma.f64 y #s(literal 1/4 binary64) x) |
#s(literal 1/4 binary64) |
x |
z |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) | |
| accuracy | 0.015625 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))) | |
| accuracy | 0.0234375 | (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) | |
| accuracy | 0.15234375 | (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) | |
| accuracy | 22.242686707977953 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) | |
| accuracy | 0 | (/.f64 x (*.f64 #s(literal 1/4 binary64) y)) | |
| accuracy | 0 | (*.f64 #s(literal 1/4 binary64) y) | |
| accuracy | 44.43012747352721 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) | |
| accuracy | 40.975711919817506 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal 4 binary64) y) | |
| accuracy | 0 | (-.f64 x z) | |
| accuracy | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) | |
| accuracy | 0.12890625 | (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
| 69.0ms | 256× | 0 | valid |
Compiled 151 to 29 computations (80.8% saved)
ival-add: 33.0ms (60.7% of total)ival-div: 10.0ms (18.4% of total)ival-mult: 8.0ms (14.7% of total)ival-sub: 3.0ms (5.5% 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 #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 4 binary64) y) (patch (/.f64 #s(literal 4 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 #s(literal 1/4 binary64) y)) (patch (/.f64 x (*.f64 #s(literal 1/4 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/4 binary64) y) (patch (*.f64 #s(literal 1/4 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) (patch (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) (patch (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (patch (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ 1 (* 4 (/ (- (* 1/4 y) z) y))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ x y)) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (- x z) y)) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (/ z y)) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 y) (/ (* y (- (* 1/4 y) z)) x)) x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (patch (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 2)) x) (* y (- (* 1/4 y) z))) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (patch (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 3)) x) (* y (pow (- (* 1/4 y) z) 2))) x)) (* y (- (* 1/4 y) z))) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (patch (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (+ x (* 1/4 y))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (patch (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ y (+ x (* 1/4 y))) (/ (* y z) (pow (+ x (* 1/4 y)) 2))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (patch (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 3)) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y)))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (patch (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 4)) (* -1 (/ y (pow (+ x (* 1/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y)))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (patch (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor inf z) (#s(alt (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (patch (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 1/4 y))) z))) z) (taylor inf z) (#s(alt (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (patch (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 1/4 y))) z)) z) (taylor inf z) (#s(alt (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (patch (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 1/4 y))) z) (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) z) (taylor inf z) (#s(alt (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (patch (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor -inf z) (#s(alt (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (patch (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ y (/ (* y (+ x (* 1/4 y))) z)) z)) (taylor -inf z) (#s(alt (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (patch (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) z)) (* y (+ x (* 1/4 y)))) z))) z)) (taylor -inf z) (#s(alt (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (patch (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 1/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 1/4 y)) 2)))) z)) (* y (+ x (* 1/4 y)))) z))) z)) (taylor -inf z) (#s(alt (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (patch (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (- x z) (taylor 0 y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 y) (taylor inf y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1/4 (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1/4 (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1/4 (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 y) (taylor -inf y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) (taylor -inf y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) (taylor -inf y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) (taylor -inf y) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/4 y) z) (taylor 0 x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) (taylor inf x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) (taylor inf x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) (taylor inf x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/4 y)) (taylor 0 z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 z) (* 1/4 y))) (taylor 0 z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 z) (* 1/4 y))) (taylor 0 z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 z) (* 1/4 y))) (taylor 0 z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) (taylor inf z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) (taylor inf z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) (taylor inf z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) (taylor -inf z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) (taylor -inf z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) (taylor -inf z) (#s(alt (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (patch (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #<representation binary64>) () ())) ()) |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (+ (* 4 (/ x y)) 2) |
| 1.0ms | y | @ | 0 | (/ x (* 1/4 y)) |
| 1.0ms | x | @ | 0 | (/ y (- (+ (* y 1/4) x) z)) |
| 1.0ms | x | @ | 0 | (+ (* (- x z) (/ 4 y)) 2) |
| 1.0ms | x | @ | inf | (/ x (* 1/4 y)) |
| 1× | egg-herbie |
| 11 266× | lower-fma.f64 |
| 11 266× | lower-fma.f32 |
| 5 704× | lower-*.f64 |
| 5 704× | lower-*.f32 |
| 3 576× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 352 | 4960 |
| 1 | 1042 | 4866 |
| 2 | 3014 | 4318 |
| 0 | 8354 | 3982 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(+ 2 (* -4 (/ z y))) |
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(* 4 (/ x y)) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(+ 2 (* 4 (/ x y))) |
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(* -1 z) |
(- x z) |
(- x z) |
(- x z) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
x |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
x |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(* -1 z) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
2 |
(+ 2 (* 4 (/ x y))) |
(+ 2 (* 4 (/ x y))) |
(+ 2 (* 4 (/ x y))) |
(* 4 (/ x y)) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(* 4 (/ x y)) |
(/ (+ (* 2 y) (* 4 x)) y) |
(/ (+ (* 2 y) (* 4 x)) y) |
(/ (+ (* 2 y) (* 4 x)) y) |
2 |
(+ 2 (* 4 (/ x y))) |
(+ 2 (* 4 (/ x y))) |
(+ 2 (* 4 (/ x y))) |
2 |
(+ 2 (* 4 (/ x y))) |
(+ 2 (* 4 (/ x y))) |
(+ 2 (* 4 (/ x y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 4 (/ (- x z) y)) |
(/ (+ y (* 4 (- x z))) y) |
(/ (+ y (* 4 (- x z))) y) |
(/ (+ y (* 4 (- x z))) y) |
1 |
(+ 1 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (- x z) y))) |
1 |
(+ 1 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (- x z) y))) |
(* 4 (/ (- (* 1/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (+ x (* 1/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(* -4 (/ z y)) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(/ y (- x z)) |
(* y (+ (* -1/4 (/ y (pow (- x z) 2))) (/ 1 (- x z)))) |
(* y (+ (* y (- (* 1/16 (/ y (pow (- x z) 3))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))) |
(* y (+ (* y (- (* y (+ (* -1/64 (/ y (pow (- x z) 4))) (* 1/16 (/ 1 (pow (- x z) 3))))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))) |
4 |
(+ 4 (* -16 (/ (- x z) y))) |
(- (+ 4 (* 64 (/ (pow (- x z) 2) (pow y 2)))) (* 16 (/ (- x z) y))) |
(- (+ 4 (* -256 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64 (/ (pow (- x z) 2) (pow y 2))) (* 16 (/ (- x z) y)))) |
4 |
(+ 4 (* -16 (/ (- x z) y))) |
(+ 4 (* -1 (/ (- (* -64 (/ (pow (- x z) 2) y)) (* -16 (- x z))) y))) |
(+ 4 (* -1 (/ (- (* -1 (/ (- (* -256 (/ (pow (- x z) 3) y)) (* -64 (pow (- x z) 2))) y)) (* -16 (- x z))) y))) |
(/ y (- (* 1/4 y) z)) |
(+ (* -1 (/ (* x y) (pow (- (* 1/4 y) z) 2))) (/ y (- (* 1/4 y) z))) |
(+ (* x (- (/ (* x y) (pow (- (* 1/4 y) z) 3)) (/ y (pow (- (* 1/4 y) z) 2)))) (/ y (- (* 1/4 y) z))) |
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 1/4 y) z) 4))) (* -1 (/ y (pow (- (* 1/4 y) z) 3))))) (/ y (pow (- (* 1/4 y) z) 2)))) (/ y (- (* 1/4 y) z))) |
(/ y x) |
(/ (+ y (* -1 (/ (* y (- (* 1/4 y) z)) x))) x) |
(/ (- (+ y (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 1/4 y) z)) x)) x) |
(/ (- (+ y (* -1 (/ (* y (pow (- (* 1/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 1/4 y) z)) x))) x) |
(/ y x) |
(* -1 (/ (+ (* -1 y) (/ (* y (- (* 1/4 y) z)) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 2)) x) (* y (- (* 1/4 y) z))) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 3)) x) (* y (pow (- (* 1/4 y) z) 2))) x)) (* y (- (* 1/4 y) z))) x))) x)) |
(/ y (+ x (* 1/4 y))) |
(+ (/ y (+ x (* 1/4 y))) (/ (* y z) (pow (+ x (* 1/4 y)) 2))) |
(+ (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 3)) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y)))) |
(+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 4)) (* -1 (/ y (pow (+ x (* 1/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y)))) |
(* -1 (/ y z)) |
(/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 1/4 y))) z))) z) |
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 1/4 y))) z)) z) |
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 1/4 y))) z) (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) z) |
(* -1 (/ y z)) |
(* -1 (/ (+ y (/ (* y (+ x (* 1/4 y))) z)) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) z)) (* y (+ x (* 1/4 y)))) z))) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 1/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 1/4 y)) 2)))) z)) (* y (+ x (* 1/4 y)))) z))) z)) |
(- x z) |
(- (+ x (* 1/4 y)) z) |
(- (+ x (* 1/4 y)) z) |
(- (+ x (* 1/4 y)) z) |
(* 1/4 y) |
(* y (- (+ 1/4 (/ x y)) (/ z y))) |
(* y (- (+ 1/4 (/ x y)) (/ z y))) |
(* y (- (+ 1/4 (/ x y)) (/ z y))) |
(* 1/4 y) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) |
(- (* 1/4 y) z) |
(- (+ x (* 1/4 y)) z) |
(- (+ x (* 1/4 y)) z) |
(- (+ x (* 1/4 y)) z) |
x |
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) |
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) |
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) |
(+ x (* 1/4 y)) |
(+ x (+ (* -1 z) (* 1/4 y))) |
(+ x (+ (* -1 z) (* 1/4 y))) |
(+ x (+ (* -1 z) (* 1/4 y))) |
(* -1 z) |
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) |
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) |
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) x) x (/.f64 x y)) #s(literal 1 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) x) x (/.f64 x y)) #s(literal 1 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) x) x (/.f64 x y)) #s(literal 1 binary64)) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) y))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) y))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) y))) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) #s(literal 1 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))) |
(* -4 (/ z y)) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal -4 binary64) y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal -4 binary64) y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
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(-.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 y z) (/.f64 x z))) z) |
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) |
(-.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 y z) (/.f64 x z))) z) |
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) |
(-.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 y z) (/.f64 x z))) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) |
(-.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) z) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) |
(-.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) z) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) |
(-.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) z) z) |
| 5 518× | lower-*.f32 |
| 5 516× | lower-*.f64 |
| 4 226× | lower-/.f32 |
| 4 216× | lower-/.f64 |
| 3 052× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 143 |
| 0 | 43 | 139 |
| 1 | 211 | 139 |
| 2 | 1708 | 133 |
| 0 | 8319 | 133 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(-.f64 x z) |
(/.f64 #s(literal 4 binary64) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) |
(/.f64 x (*.f64 #s(literal 1/4 binary64) y)) |
(*.f64 #s(literal 1/4 binary64) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))) |
(/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) |
(-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) |
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)) |
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) #s(literal 2 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x z)) #s(literal 2 binary64)) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) #s(literal 2 binary64)) y))) (fma.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) #s(literal -4 binary64)))) |
(/.f64 (fma.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) #s(literal 2 binary64)) y)))) |
(/.f64 (fma.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) #s(literal 2 binary64))) y))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) #s(literal -4 binary64)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) #s(literal 2 binary64)) y))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) #s(literal -4 binary64))) (neg.f64 (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) (*.f64 (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))) |
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) #s(literal 2 binary64)) y))) (fma.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) #s(literal -4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) #s(literal 2 binary64)) y))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))) |
(+.f64 x (neg.f64 z)) |
(+.f64 (neg.f64 z) x) |
(-.f64 x z) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 z (+.f64 x z)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z))) |
(fma.f64 #s(literal -1 binary64) z x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (fma.f64 x x (*.f64 z (+.f64 x z)))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z))))) |
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (+.f64 x z)) |
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 x z))) (neg.f64 (+.f64 x z))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 z (+.f64 x z)))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x z)) (*.f64 (+.f64 x z) (*.f64 z z))) (*.f64 (+.f64 x z) (+.f64 x z))) |
(pow.f64 (/.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal -1 binary64)) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 x z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -4 binary64) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 4 binary64) y) |
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -4 binary64) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/4 binary64))) |
(pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 y #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 x (*.f64 y #s(literal -1/4 binary64)))) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y #s(literal 1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/4 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 4 binary64) x))) |
(/.f64 #s(literal 4 binary64) (/.f64 y x)) |
(/.f64 x (*.f64 y #s(literal 1/4 binary64))) |
(/.f64 (/.f64 x y) #s(literal 1/4 binary64)) |
(/.f64 (neg.f64 x) (*.f64 y #s(literal -1/4 binary64))) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 y #s(literal -1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) x)) (neg.f64 y)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 #s(literal 4 binary64) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64)) (neg.f64 y)) |
(pow.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (*.f64 #s(literal 4 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64)))) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(*.f64 x (/.f64 #s(literal 4 binary64) y)) |
(*.f64 (/.f64 #s(literal 4 binary64) y) x) |
(*.f64 (/.f64 #s(literal 4 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) x)) |
(*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) |
(/.f64 y #s(literal 4 binary64)) |
(/.f64 (neg.f64 y) #s(literal -4 binary64)) |
(pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1 binary64)) |
(*.f64 y #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) |
(+.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64)))) |
(+.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) x)) (*.f64 y y)) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal 8 binary64)))) (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -4 binary64)))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal 8 binary64))))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) x)) (*.f64 y y)) (*.f64 (/.f64 x y) #s(literal 8 binary64))))) |
(/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -4 binary64)) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal 8 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -4 binary64))) (neg.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) x)) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) x)) (*.f64 y y)) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) (*.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal 8 binary64)))) (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))) #s(literal -1 binary64)) |
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(/.f64 (fma.f64 y (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))) (*.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))))) (*.f64 #s(literal 4 binary64) (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))))) |
(/.f64 (fma.f64 y (neg.f64 (+.f64 x z)) (*.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (+.f64 x z) (-.f64 x z))))) (*.f64 #s(literal 4 binary64) (neg.f64 (+.f64 x z)))) |
(/.f64 (fma.f64 y (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z)))) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)))) (*.f64 #s(literal 4 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z)))))) |
(/.f64 (fma.f64 y (-.f64 x (neg.f64 z)) (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 #s(literal 4 binary64) (-.f64 x (neg.f64 z)))) |
(/.f64 (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) #s(literal -4 binary64)) (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))))) |
(/.f64 (fma.f64 (neg.f64 y) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal -4 binary64)) (*.f64 #s(literal -4 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) |
(/.f64 (fma.f64 (neg.f64 y) (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 #s(literal -4 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)))) (*.f64 #s(literal -4 binary64) (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(/.f64 (fma.f64 (neg.f64 y) (+.f64 x z) (*.f64 #s(literal -4 binary64) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 #s(literal -4 binary64) (+.f64 x z))) |
(/.f64 (fma.f64 (neg.f64 y) (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))) (*.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))))) (*.f64 #s(literal -4 binary64) (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))))) |
(/.f64 (fma.f64 (neg.f64 y) (neg.f64 (+.f64 x z)) (*.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (+.f64 x z) (-.f64 x z))))) (*.f64 #s(literal -4 binary64) (neg.f64 (+.f64 x z)))) |
(/.f64 (fma.f64 (neg.f64 y) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z)))) (*.f64 #s(literal -4 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)))) (*.f64 #s(literal -4 binary64) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z)))))) |
(/.f64 (fma.f64 (neg.f64 y) (-.f64 x (neg.f64 z)) (*.f64 #s(literal -4 binary64) (*.f64 (+.f64 x z) (-.f64 x z)))) (*.f64 #s(literal -4 binary64) (-.f64 x (neg.f64 z)))) |
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (/.f64 #s(literal 4 binary64) y))) |
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) y)) (*.f64 (/.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) #s(literal 4 binary64))) |
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 (/.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (neg.f64 y))) (*.f64 (/.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) #s(literal -4 binary64))) |
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) (/.f64 #s(literal 4 binary64) y))) |
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) y)) (*.f64 (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal 4 binary64))) |
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) (neg.f64 y))) (*.f64 (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal -4 binary64))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (/.f64 #s(literal 4 binary64) y))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) #s(literal 4 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) y)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) #s(literal 4 binary64))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) #s(literal -4 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (neg.f64 y))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) #s(literal -4 binary64))) |
(/.f64 (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y) (*.f64 (+.f64 x z) #s(literal 1 binary64))) (*.f64 (+.f64 x z) (/.f64 #s(literal 4 binary64) y))) |
(/.f64 (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) #s(literal 4 binary64) (*.f64 (+.f64 x z) y)) (*.f64 (+.f64 x z) #s(literal 4 binary64))) |
(/.f64 (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) #s(literal -4 binary64) (*.f64 (+.f64 x z) (neg.f64 y))) (*.f64 (+.f64 x z) #s(literal -4 binary64))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (/.f64 #s(literal 4 binary64) y) (*.f64 (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))) (/.f64 #s(literal 4 binary64) y))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) #s(literal 4 binary64) (*.f64 (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))) y)) (*.f64 (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))) #s(literal 4 binary64))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) #s(literal -4 binary64) (*.f64 (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))) (neg.f64 y))) (*.f64 (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))) #s(literal -4 binary64))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 x z))) (/.f64 #s(literal 4 binary64) y) (*.f64 (neg.f64 (+.f64 x z)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 x z)) (/.f64 #s(literal 4 binary64) y))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal 4 binary64) (*.f64 (neg.f64 (+.f64 x z)) y)) (*.f64 (neg.f64 (+.f64 x z)) #s(literal 4 binary64))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal -4 binary64) (*.f64 (neg.f64 (+.f64 x z)) (neg.f64 y))) (*.f64 (neg.f64 (+.f64 x z)) #s(literal -4 binary64))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y) (*.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z)))) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z)))) (/.f64 #s(literal 4 binary64) y))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) #s(literal 4 binary64) (*.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z)))) y)) (*.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z)))) #s(literal 4 binary64))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) #s(literal -4 binary64) (*.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z)))) (neg.f64 y))) (*.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z)))) #s(literal -4 binary64))) |
(/.f64 (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y) (*.f64 (-.f64 x (neg.f64 z)) #s(literal 1 binary64))) (*.f64 (-.f64 x (neg.f64 z)) (/.f64 #s(literal 4 binary64) y))) |
(/.f64 (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) #s(literal 4 binary64) (*.f64 (-.f64 x (neg.f64 z)) y)) (*.f64 (-.f64 x (neg.f64 z)) #s(literal 4 binary64))) |
(/.f64 (fma.f64 (*.f64 (+.f64 x z) (-.f64 x z)) #s(literal -4 binary64) (*.f64 (-.f64 x (neg.f64 z)) (neg.f64 y))) (*.f64 (-.f64 x (neg.f64 z)) #s(literal -4 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)))) (*.f64 (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (*.f64 (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 z z))) (*.f64 (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))) |
(pow.f64 (/.f64 (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))))) |
(*.f64 (*.f64 (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))) |
Compiled 13 024 to 1 432 computations (89% saved)
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 775 | 4 | 779 |
| Fresh | 0 | 3 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 777 | 10 | 787 |
| Status | Accuracy | Program |
|---|---|---|
| 69.3% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))) | |
| ▶ | 65.2% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
| ✓ | 99.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) |
| ▶ | 71.7% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
| 64.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) | |
| ✓ | 30.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) |
| ▶ | 30.5% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) |
| ▶ | 37.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y))) |
| ▶ | 37.5% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) |
| ✓ | 36.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
Compiled 168 to 114 computations (32.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 4 binary64) y) x) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -4 binary64) y) | |
| cost-diff | 0 | (*.f64 z (/.f64 #s(literal -4 binary64) y)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y))) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (*.f64 #s(literal -4 binary64) (/.f64 z y)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
| 7 884× | lower-fma.f32 |
| 7 880× | lower-fma.f64 |
| 2 800× | lower-*.f32 |
| 2 794× | lower-*.f64 |
| 1 224× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 156 |
| 0 | 35 | 156 |
| 1 | 58 | 156 |
| 2 | 87 | 156 |
| 3 | 135 | 156 |
| 4 | 241 | 146 |
| 5 | 495 | 136 |
| 6 | 1499 | 136 |
| 7 | 4007 | 136 |
| 8 | 6782 | 136 |
| 0 | 8053 | 131 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
#s(literal -4 binary64) |
(/.f64 z y) |
z |
y |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) |
(*.f64 #s(literal -4 binary64) (/.f64 z y)) |
#s(literal -4 binary64) |
(/.f64 z y) |
z |
y |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y))) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
z |
(/.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
y |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 4 binary64) y) x) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
x |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
x |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) |
#s(literal -4 binary64) |
(/.f64 z y) |
z |
y |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 z (*.f64 y #s(literal -1/4 binary64)))) |
(*.f64 #s(literal -4 binary64) (/.f64 z y)) |
(/.f64 z (*.f64 y #s(literal -1/4 binary64))) |
#s(literal -4 binary64) |
(/.f64 z y) |
z |
y |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 z (*.f64 y #s(literal -1/4 binary64)))) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(/.f64 z (*.f64 y #s(literal -1/4 binary64))) |
z |
(/.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
y |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 4 binary64) y) x) |
(/.f64 x (*.f64 y #s(literal 1/4 binary64))) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
x |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
x |
#s(literal 2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 4 binary64) y) | |
| accuracy | 0.0859375 | (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) | |
| accuracy | 22.242686707977953 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal 4 binary64) y) | |
| accuracy | 0.19921875 | (*.f64 (/.f64 #s(literal 4 binary64) y) x) | |
| accuracy | 44.43012747352721 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) | |
| accuracy | 0 | (/.f64 #s(literal -4 binary64) y) | |
| accuracy | 0.1640625 | (*.f64 z (/.f64 #s(literal -4 binary64) y)) | |
| accuracy | 40.03134541775761 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y))) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 0.00390625 | (*.f64 #s(literal -4 binary64) (/.f64 z y)) | |
| accuracy | 40.03134541775761 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) | |
| accuracy | 0 | (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 18.110719355828984 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
| 42.0ms | 256× | 0 | valid |
Compiled 128 to 24 computations (81.3% saved)
ival-mult: 10.0ms (42.9% of total)ival-div: 7.0ms (30% of total)ival-add: 5.0ms (21.4% of total)ival-sub: 1.0ms (4.3% of total)exact: 1.0ms (4.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -4 binary64) (/.f64 z y)) (patch (*.f64 #s(literal -4 binary64) (/.f64 z y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (/.f64 #s(literal -4 binary64) y)) (patch (*.f64 z (/.f64 #s(literal -4 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 4 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 4 binary64) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 4 binary64) y) (patch (/.f64 #s(literal 4 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ 1 (* 4 (/ (- (* 1/4 y) z) y))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ x y)) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (- x z) y)) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (/ z y)) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 z) (#s(alt (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -4 (/ z y))) (taylor 0 z) (#s(alt (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -4 (/ z y))) (taylor 0 z) (#s(alt (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -4 (/ z y))) (taylor 0 z) (#s(alt (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | inf | (+ (* -4 (/ z y)) 2) |
| 0.0ms | y | @ | 0 | (+ (* -4 (/ z y)) 2) |
| 0.0ms | y | @ | inf | (+ (* -4 (/ z y)) 2) |
| 0.0ms | y | @ | 0 | (/ -4 y) |
| 0.0ms | y | @ | -inf | (/ z y) |
| 1× | egg-herbie |
| 7 662× | lower-fma.f64 |
| 7 662× | lower-fma.f32 |
| 2 580× | lower-*.f64 |
| 2 580× | lower-*.f32 |
| 1 970× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 3084 |
| 1 | 222 | 3084 |
| 2 | 528 | 2524 |
| 3 | 1273 | 2274 |
| 4 | 3073 | 2274 |
| 5 | 7300 | 2274 |
| 0 | 8040 | 2093 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
2 |
(+ 2 (* -4 (/ z y))) |
(+ 2 (* -4 (/ z y))) |
(+ 2 (* -4 (/ z y))) |
(* -4 (/ z y)) |
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z))))) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z))))) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z))))) |
(* -4 (/ z y)) |
(/ (+ (* -4 z) (* 2 y)) y) |
(/ (+ (* -4 z) (* 2 y)) y) |
(/ (+ (* -4 z) (* 2 y)) y) |
2 |
(+ 2 (* -4 (/ z y))) |
(+ 2 (* -4 (/ z y))) |
(+ 2 (* -4 (/ z y))) |
2 |
(+ 2 (* -4 (/ z y))) |
(+ 2 (* -4 (/ z y))) |
(+ 2 (* -4 (/ z y))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(* -4 (/ z y)) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(/ -4 y) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(* 4 (/ x y)) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(/ 4 y) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(/ (+ (* 2 y) (* 4 x)) y) |
(/ (+ (* 2 y) (* 4 x)) y) |
(/ (+ (* 2 y) (* 4 x)) y) |
2 |
(+ 2 (* 4 (/ x y))) |
(+ 2 (* 4 (/ x y))) |
(+ 2 (* 4 (/ x y))) |
2 |
(+ 2 (* 4 (/ x y))) |
(+ 2 (* 4 (/ x y))) |
(+ 2 (* 4 (/ x y))) |
2 |
(+ 2 (* 4 (/ x y))) |
(+ 2 (* 4 (/ x y))) |
(+ 2 (* 4 (/ x y))) |
(* 4 (/ x y)) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x y) y)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -4 (/ z y)) |
(/.f64 (*.f64 z #s(literal -4 binary64)) y) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -4 (/ z y)) |
(/.f64 (*.f64 z #s(literal -4 binary64)) y) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
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(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x y) y)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -4 (/ z y)) |
(/.f64 (*.f64 z #s(literal -4 binary64)) y) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -4 (/ z y)) |
(/.f64 (*.f64 z #s(literal -4 binary64)) y) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* 4 (/ (- x z) y)) |
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x y) y)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -4 (/ z y)) |
(/.f64 (*.f64 z #s(literal -4 binary64)) y) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -4 (/ z y)) |
(/.f64 (*.f64 z #s(literal -4 binary64)) y) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(/ (+ (* 2 y) (* 4 x)) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) x (*.f64 y #s(literal 2 binary64))) y) |
(/ (+ (* 2 y) (* 4 x)) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) x (*.f64 y #s(literal 2 binary64))) y) |
(/ (+ (* 2 y) (* 4 x)) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) x (*.f64 y #s(literal 2 binary64))) y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ x y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
(* 4 (/ x y)) |
(*.f64 #s(literal 4 binary64) (/.f64 x y)) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) |
| 5 226× | lower-fma.f32 |
| 5 222× | lower-fma.f64 |
| 4 034× | lower-*.f32 |
| 4 028× | lower-*.f64 |
| 3 786× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 133 |
| 0 | 35 | 133 |
| 1 | 139 | 133 |
| 2 | 1026 | 133 |
| 0 | 8497 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
(/.f64 z y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) |
(*.f64 #s(literal -4 binary64) (/.f64 z y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y))) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(/.f64 #s(literal -4 binary64) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 4 binary64) y) x) |
(/.f64 #s(literal 4 binary64) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))) |
(+.f64 #s(literal 2 binary64) (/.f64 z (*.f64 y #s(literal -1/4 binary64)))) |
(+.f64 (/.f64 z (*.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64)) |
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (/.f64 z (*.f64 y #s(literal 1/4 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (+.f64 #s(literal 2 binary64) (/.f64 z (*.f64 y #s(literal 1/4 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64)) |
(fma.f64 #s(literal 4 binary64) (/.f64 z (neg.f64 y)) #s(literal 2 binary64)) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)) |
(fma.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 z #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 z y) #s(literal 8 binary64))))))) |
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 z y) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 z y) #s(literal 8 binary64)))))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y))) #s(literal 4 binary64)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y)) (*.f64 (/.f64 z y) #s(literal 8 binary64)))) (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 z (*.f64 y #s(literal 1/4 binary64)))) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) (*.f64 y y))))) |
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(neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) y)))))) |
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64)) (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) y))))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y))) #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64)))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64)))) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) y)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64))))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) y))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64)))))))) |
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y))) #s(literal 4 binary64)) (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y))) (+.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) y)))))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y))) #s(literal 4 binary64))) (neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) y))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64)))))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) y)))))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64)))))) |
Compiled 6 540 to 472 computations (92.8% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 636 | 0 | 636 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 636 | 10 | 646 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.3% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))) |
| ✓ | 65.2% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
| ✓ | 99.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) |
| ✓ | 71.7% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
| ▶ | 64.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) |
| ✓ | 30.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) |
| ✓ | 30.5% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) |
| ✓ | 37.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y))) |
| ✓ | 37.5% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) |
| ✓ | 36.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
Compiled 97 to 66 computations (32% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) | |
| cost-diff | 0 | (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))) | |
| cost-diff | 384 | (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/4 binary64) y) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) |
| 15 236× | lower-fma.f64 |
| 15 236× | lower-fma.f32 |
| 3 108× | lower-*.f32 |
| 3 106× | lower-*.f64 |
| 2 866× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 102 |
| 0 | 28 | 102 |
| 1 | 54 | 102 |
| 2 | 100 | 102 |
| 3 | 173 | 100 |
| 4 | 314 | 100 |
| 5 | 963 | 98 |
| 6 | 4339 | 98 |
| 0 | 8166 | 92 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) |
(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) |
(-.f64 x z) |
x |
z |
(*.f64 #s(literal 1/4 binary64) y) |
#s(literal 1/4 binary64) |
y |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) |
#s(literal 4 binary64) |
(/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) |
y |
#s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))) |
(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) |
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) |
(-.f64 x z) |
x |
z |
(*.f64 #s(literal 1/4 binary64) y) |
(*.f64 y #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
y |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))) |
(fma.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) |
(/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (*.f64 y #s(literal 1/4 binary64))) |
#s(literal 4 binary64) |
(/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) |
y |
#s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))) | |
| accuracy | 0.0234375 | (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) | |
| accuracy | 0.15234375 | (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) | |
| accuracy | 22.94487114172405 | #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) | |
| accuracy | 0 | (-.f64 x z) | |
| accuracy | 0 | (*.f64 #s(literal 1/4 binary64) y) | |
| accuracy | 0.015625 | (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) | |
| accuracy | 22.860763682971747 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) |
| 57.0ms | 256× | 0 | valid |
Compiled 80 to 22 computations (72.5% saved)
ival-mult: 32.0ms (68.8% of total)ival-div: 6.0ms (12.9% of total)ival-add: 4.0ms (8.6% of total)ival-sub: 3.0ms (6.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) (patch (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/4 binary64) y) (patch (*.f64 #s(literal 1/4 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) (patch (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))) #<representation binary64>) () ()) |
#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ 1 (* 4 (/ (- (* 1/4 y) z) y))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ x y)) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 1/4 y))) z)) z) (taylor inf z) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 1/4 y))) z) (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) z) (taylor inf z) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor -inf z) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ y (/ (* y (+ x (* 1/4 y))) z)) z)) (taylor -inf z) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) z)) (* y (+ x (* 1/4 y)))) z))) z)) (taylor -inf z) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 1/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 1/4 y)) 2)))) z)) (* y (+ x (* 1/4 y)))) z))) z)) (taylor -inf z) (#s(alt (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (patch (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (- x z) (taylor 0 y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 y) (taylor inf y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1/4 (/ x y)) (/ z y))) (taylor inf y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1/4 (/ x y)) (/ z y))) (taylor inf y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1/4 (/ x y)) (/ z y))) (taylor inf y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 y) (taylor -inf y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) (taylor -inf y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) (taylor -inf y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) (taylor -inf y) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/4 y) z) (taylor 0 x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/4 y)) z) (taylor 0 x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/4 y)) (taylor 0 z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 z) (* 1/4 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 z) (* 1/4 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 z) (* 1/4 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) (taylor inf z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) (taylor inf z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) (taylor inf z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) (taylor -inf z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) (taylor -inf z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) (taylor -inf z) (#s(alt #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (patch #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (/ (- x z) (* 1/4 y)) |
| 0.0ms | y | @ | 0 | (/ (- x z) (* 1/4 y)) |
| 0.0ms | y | @ | -inf | (/ (- x z) (* 1/4 y)) |
| 0.0ms | x | @ | 0 | (/ (- x z) (* 1/4 y)) |
| 0.0ms | x | @ | -inf | (/ (- x z) (* 1/4 y)) |
| 1× | egg-herbie |
| 11 118× | lower-fma.f64 |
| 11 118× | lower-fma.f32 |
| 5 912× | lower-*.f64 |
| 5 912× | lower-*.f32 |
| 3 498× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 336 | 2858 |
| 1 | 1006 | 2800 |
| 2 | 2934 | 2661 |
| 0 | 8300 | 2488 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(* 4 (/ x y)) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(* -4 (/ z y)) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* 4 (/ (- x z) y)) |
(* -1 z) |
(- x z) |
(- x z) |
(- x z) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
x |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
x |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(* -1 z) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 4 (/ (- x z) y)) |
(/ (+ y (* 4 (- x z))) y) |
(/ (+ y (* 4 (- x z))) y) |
(/ (+ y (* 4 (- x z))) y) |
1 |
(+ 1 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (- x z) y))) |
1 |
(+ 1 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (- x z) y))) |
(* 4 (/ (- (* 1/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (+ x (* 1/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(* -4 (/ z y)) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 (/ x y)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(/ y (- x z)) |
(* y (+ (* -1/4 (/ y (pow (- x z) 2))) (/ 1 (- x z)))) |
(* y (+ (* y (- (* 1/16 (/ y (pow (- x z) 3))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))) |
(* y (+ (* y (- (* y (+ (* -1/64 (/ y (pow (- x z) 4))) (* 1/16 (/ 1 (pow (- x z) 3))))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))) |
4 |
(+ 4 (* -16 (/ (- x z) y))) |
(- (+ 4 (* 64 (/ (pow (- x z) 2) (pow y 2)))) (* 16 (/ (- x z) y))) |
(- (+ 4 (* -256 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64 (/ (pow (- x z) 2) (pow y 2))) (* 16 (/ (- x z) y)))) |
4 |
(+ 4 (* -16 (/ (- x z) y))) |
(+ 4 (* -1 (/ (- (* -64 (/ (pow (- x z) 2) y)) (* -16 (- x z))) y))) |
(+ 4 (* -1 (/ (- (* -1 (/ (- (* -256 (/ (pow (- x z) 3) y)) (* -64 (pow (- x z) 2))) y)) (* -16 (- x z))) y))) |
(/ y (- (* 1/4 y) z)) |
(+ (* -1 (/ (* x y) (pow (- (* 1/4 y) z) 2))) (/ y (- (* 1/4 y) z))) |
(+ (* x (- (/ (* x y) (pow (- (* 1/4 y) z) 3)) (/ y (pow (- (* 1/4 y) z) 2)))) (/ y (- (* 1/4 y) z))) |
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 1/4 y) z) 4))) (* -1 (/ y (pow (- (* 1/4 y) z) 3))))) (/ y (pow (- (* 1/4 y) z) 2)))) (/ y (- (* 1/4 y) z))) |
(/ y x) |
(/ (+ y (* -1 (/ (* y (- (* 1/4 y) z)) x))) x) |
(/ (- (+ y (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 1/4 y) z)) x)) x) |
(/ (- (+ y (* -1 (/ (* y (pow (- (* 1/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 1/4 y) z)) x))) x) |
(/ y x) |
(* -1 (/ (+ (* -1 y) (/ (* y (- (* 1/4 y) z)) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 2)) x) (* y (- (* 1/4 y) z))) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 1/4 y) z) 3)) x) (* y (pow (- (* 1/4 y) z) 2))) x)) (* y (- (* 1/4 y) z))) x))) x)) |
(/ y (+ x (* 1/4 y))) |
(+ (/ y (+ x (* 1/4 y))) (/ (* y z) (pow (+ x (* 1/4 y)) 2))) |
(+ (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 3)) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y)))) |
(+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 1/4 y)) 4)) (* -1 (/ y (pow (+ x (* 1/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 1/4 y)) 2))))) (/ y (+ x (* 1/4 y)))) |
(* -1 (/ y z)) |
(/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 1/4 y))) z))) z) |
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 1/4 y))) z)) z) |
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 1/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 1/4 y))) z) (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2)))) z) |
(* -1 (/ y z)) |
(* -1 (/ (+ y (/ (* y (+ x (* 1/4 y))) z)) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 1/4 y)) 2)) z)) (* y (+ x (* 1/4 y)))) z))) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 1/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 1/4 y)) 2)))) z)) (* y (+ x (* 1/4 y)))) z))) z)) |
(- x z) |
(- (+ x (* 1/4 y)) z) |
(- (+ x (* 1/4 y)) z) |
(- (+ x (* 1/4 y)) z) |
(* 1/4 y) |
(* y (- (+ 1/4 (/ x y)) (/ z y))) |
(* y (- (+ 1/4 (/ x y)) (/ z y))) |
(* y (- (+ 1/4 (/ x y)) (/ z y))) |
(* 1/4 y) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) |
(- (* 1/4 y) z) |
(- (+ x (* 1/4 y)) z) |
(- (+ x (* 1/4 y)) z) |
(- (+ x (* 1/4 y)) z) |
x |
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) |
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) |
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) |
(+ x (* 1/4 y)) |
(+ x (+ (* -1 z) (* 1/4 y))) |
(+ x (+ (* -1 z) (* 1/4 y))) |
(+ x (+ (* -1 z) (* 1/4 y))) |
(* -1 z) |
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) |
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) |
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64)) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 x (+.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 x (+.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 x (+.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64))) x) (/.f64 #s(literal 4 binary64) y))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64))) x) (/.f64 #s(literal 4 binary64) y))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64))) x) (/.f64 #s(literal 4 binary64) y))) |
(* 4 (/ (- x z) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) #s(literal 1 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))) |
(* -4 (/ z y)) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(*.f64 z (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -4 binary64) y))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(*.f64 z (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -4 binary64) y))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(*.f64 z (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -4 binary64) y))) |
(* -4 (/ z y)) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) z)) (neg.f64 z)) |
(* -4 (/ z y)) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y)) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y)) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y)) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 z (*.f64 y x)) (/.f64 #s(literal -4 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 z (*.f64 y x)) (/.f64 #s(literal -4 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 z (*.f64 y x)) (/.f64 #s(literal -4 binary64) y)) (neg.f64 x)) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(* -4 (/ z y)) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal -4 binary64) y))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal -4 binary64) y))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal -4 binary64) y))) |
(* -4 (/ z y)) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal 4 binary64) y)) (neg.f64 z)) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal 4 binary64) y)) (neg.f64 z)) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal 4 binary64) y)) (neg.f64 z)) |
(* 4 (/ (- x z) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(* 4 (/ (- x z) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(* 4 (/ (- x z) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(* 4 (/ (- x z) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(* 4 (/ (- x z) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(* 4 (/ (- x z) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(* 4 (/ (- x z) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(* 4 (/ (- x z) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(* 4 (/ (- x z) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(* 4 (/ (- x z) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(* 4 (/ (- x z) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(* 4 (/ (- x z) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(- x z) |
(-.f64 x z) |
(- x z) |
(-.f64 x z) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x (*.f64 (/.f64 z x) x)) |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x (*.f64 (/.f64 z x) x)) |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x (*.f64 (/.f64 z x) x)) |
x |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x (*.f64 (/.f64 z x) x)) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x (*.f64 (/.f64 z x) x)) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x (*.f64 (/.f64 z x) x)) |
x |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ x z) 1)) |
(-.f64 (/.f64 (*.f64 z x) z) z) |
(* z (- (/ x z) 1)) |
(-.f64 (/.f64 (*.f64 z x) z) z) |
(* z (- (/ x z) 1)) |
(-.f64 (/.f64 (*.f64 z x) z) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 (/.f64 (*.f64 z x) z) z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 (/.f64 (*.f64 z x) z) z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 (/.f64 (*.f64 z x) z) z) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* 4 (/ (- x z) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(/ (+ y (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) y) y) |
(/ (+ y (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) y) y) |
(/ (+ y (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) y) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) |
(+ 1 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) |
(+ 1 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) |
(+ 1 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) |
(+ 1 (* 4 (/ (- x z) y))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) |
(* 4 (/ (- (* 1/4 y) z) y)) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y))) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y))) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y))) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) x) x (/.f64 x y))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) x) x (/.f64 x y))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) x) x (/.f64 x y))) |
(* 4 (/ x y)) |
(/.f64 (*.f64 #s(literal 4 binary64) x) y) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) x) x (/.f64 x y))) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
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(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) |
(- (+ x (* 1/4 y)) z) |
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) |
(- (+ x (* 1/4 y)) z) |
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* y (- (+ 1/4 (/ x y)) (/ z y))) |
(*.f64 y (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y))) |
(* y (- (+ 1/4 (/ x y)) (/ z y))) |
(*.f64 y (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y))) |
(* y (- (+ 1/4 (/ x y)) (/ z y))) |
(*.f64 y (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y))) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 x z) y))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 x z) y))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 x z) y))) |
(- (* 1/4 y) z) |
(-.f64 (*.f64 #s(literal 1/4 binary64) y) z) |
(- (+ x (* 1/4 y)) z) |
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) |
(- (+ x (* 1/4 y)) z) |
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) |
(- (+ x (* 1/4 y)) z) |
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) |
x |
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) |
(fma.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x) x) |
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) |
(fma.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x) x) |
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x))) |
(fma.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x) x) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x)) (neg.f64 x)) |
(+ x (* 1/4 y)) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(+ x (+ (* -1 z) (* 1/4 y))) |
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) |
(+ x (+ (* -1 z) (* 1/4 y))) |
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) |
(+ x (+ (* -1 z) (* 1/4 y))) |
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) |
(fma.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 y z) (/.f64 x z)) (neg.f64 z)) |
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) |
(fma.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 y z) (/.f64 x z)) (neg.f64 z)) |
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) |
(fma.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 y z) (/.f64 x z)) (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) |
(-.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) z) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) |
(-.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) z) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z))))) |
(-.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) z) z) |
| 5 078× | lower-/.f32 |
| 5 072× | lower-/.f64 |
| 4 232× | lower-*.f32 |
| 4 230× | lower-*.f64 |
| 3 964× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 90 |
| 0 | 28 | 90 |
| 1 | 161 | 90 |
| 2 | 1297 | 90 |
| 0 | 8347 | 83 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) |
(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y)) |
(-.f64 x z) |
(*.f64 #s(literal 1/4 binary64) y) |
(/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))) |
(/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) |
#s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64)))) |
(+.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (neg.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (-.f64 x z) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 y #s(literal 1/4 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (*.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 z z) (+.f64 x z)) (*.f64 y #s(literal 1/4 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/4 binary64))) (/.f64 (-.f64 x z) (*.f64 y #s(literal -1/4 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 z (+.f64 x z) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (+.f64 x z))) (/.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (+.f64 x z)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) #s(literal 1/16 binary64))) (/.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) z) (*.f64 (*.f64 y y) #s(literal 1/16 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (*.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64))))))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (*.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64)))))))) |
(-.f64 (/.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 x (*.f64 y #s(literal 1/4 binary64)))) (fma.f64 x (/.f64 #s(literal 4 binary64) y) (/.f64 z (*.f64 y #s(literal 1/4 binary64))))) (/.f64 (*.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64)))) (fma.f64 x (/.f64 #s(literal 4 binary64) y) (/.f64 z (*.f64 y #s(literal 1/4 binary64)))))) |
(fma.f64 x (/.f64 #s(literal 4 binary64) y) (neg.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))))) |
(neg.f64 (/.f64 (-.f64 x z) (*.f64 y #s(literal -1/4 binary64)))) |
(neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 x z) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 (-.f64 x z) #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) (+.f64 x z)) (*.f64 (+.f64 x z) (-.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/16 binary64)) (-.f64 (*.f64 x (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y #s(literal 1/4 binary64)) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (*.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64)))))) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) (/.f64 z (*.f64 y #s(literal 1/4 binary64)))) (-.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 x (*.f64 y #s(literal 1/4 binary64)))) (*.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/4 binary64)) (*.f64 (-.f64 x z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y))) |
(/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (-.f64 x z)) (*.f64 y #s(literal -1/4 binary64))) |
(/.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 z (+.f64 x z) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (+.f64 x z))) |
(/.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (-.f64 x z) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y #s(literal 1/4 binary64)) z)) (*.f64 (*.f64 y y) #s(literal 1/16 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) #s(literal 1 binary64)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (*.f64 y #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) #s(literal 1 binary64)) (*.f64 (+.f64 x z) (*.f64 y #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x z))) (neg.f64 (*.f64 y #s(literal -1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (neg.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 z (+.f64 x z) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 x z))) (neg.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) (+.f64 x z)))) |
(/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (*.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 x (*.f64 y #s(literal 1/4 binary64)))) (*.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal 1/4 binary64))))) (fma.f64 x (/.f64 #s(literal 4 binary64) y) (/.f64 z (*.f64 y #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64)) (*.f64 y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) (fma.f64 z (+.f64 x z) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) (+.f64 x z)) |
(/.f64 (/.f64 (-.f64 x z) y) #s(literal 1/4 binary64)) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 z)) (*.f64 y #s(literal -1/4 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/4 binary64)) z)) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) (/.f64 (*.f64 y #s(literal 1/4 binary64)) z))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) z)) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) (*.f64 y #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/4 binary64))) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) (neg.f64 z))) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) (*.f64 y #s(literal -1/4 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) (/.f64 z y))) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) #s(literal 1/4 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) (/.f64 z #s(literal 1/4 binary64)))) (*.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) y)) |
(/.f64 (-.f64 (*.f64 x (/.f64 (*.f64 y #s(literal 1/4 binary64)) z)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (/.f64 (*.f64 y #s(literal 1/4 binary64)) z))) |
(/.f64 (-.f64 (*.f64 x (*.f64 y #s(literal -1/4 binary64))) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (neg.f64 z))) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (*.f64 y #s(literal -1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (/.f64 z y))) (*.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (/.f64 z #s(literal 1/4 binary64)))) (*.f64 (*.f64 y #s(literal 1/4 binary64)) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 y #s(literal 1/4 binary64)) z)) (*.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y #s(literal -1/4 binary64)) (/.f64 (*.f64 y #s(literal 1/4 binary64)) z))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y #s(literal -1/4 binary64)) z)) (*.f64 (*.f64 y #s(literal -1/4 binary64)) (*.f64 y #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 y #s(literal -1/4 binary64))) (*.f64 (*.f64 y #s(literal -1/4 binary64)) (neg.f64 z))) (*.f64 (*.f64 y #s(literal -1/4 binary64)) (*.f64 y #s(literal -1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(literal 1/4 binary64)) (*.f64 (*.f64 y #s(literal -1/4 binary64)) (/.f64 z y))) (*.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (*.f64 y #s(literal -1/4 binary64)) (/.f64 z #s(literal 1/4 binary64)))) (*.f64 (*.f64 y #s(literal -1/4 binary64)) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 x #s(literal 1/4 binary64)) (/.f64 (*.f64 y #s(literal 1/4 binary64)) z)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (*.f64 y #s(literal 1/4 binary64)) z))) |
(/.f64 (-.f64 (*.f64 (/.f64 x #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/4 binary64))) (*.f64 y z)) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 x #s(literal 1/4 binary64)) (*.f64 y #s(literal -1/4 binary64))) (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 y #s(literal -1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 y (/.f64 z y))) (*.f64 y #s(literal 1/4 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 x #s(literal 1/4 binary64)) y) (*.f64 y (/.f64 z #s(literal 1/4 binary64)))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 y #s(literal 1/4 binary64)) z)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y #s(literal 1/4 binary64)) z))) |
(/.f64 (-.f64 (*.f64 (/.f64 x y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 #s(literal 1/4 binary64) z)) (*.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64)))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))) (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) (/.f64 (neg.f64 y) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) |
(neg.f64 (/.f64 (neg.f64 y) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) (*.f64 y #s(literal 1 binary64)))) |
(/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) |
(/.f64 (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 y) (neg.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) |
(/.f64 (/.f64 (neg.f64 y) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) |
(pow.f64 (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) y) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) |
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) y) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))) |
#s(approx (- (+ (* y 1/4) x) z) (-.f64 x z)) |
Compiled 9 182 to 1 029 computations (88.8% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 513 | 1 | 514 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 1 | 7 | 8 |
| Total | 514 | 10 | 524 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 69.3% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))) |
| ✓ | 65.2% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
| ✓ | 71.7% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
| ✓ | 64.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) |
| ✓ | 30.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) |
| 64.1% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))) | |
| ✓ | 30.5% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) |
| ✓ | 37.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y))) |
| ✓ | 37.5% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) |
| ✓ | 36.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
Compiled 206 to 103 computations (50% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y #s(approx (- (+ (* y 1/4) x) z) (-.f64 x z))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) |
5 calls:
| 5.0ms | y |
| 5.0ms | z |
| 5.0ms | x |
| 4.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 4.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 99.8% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
Compiled 42 to 31 computations (26.2% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) |
5 calls:
| 41.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 3 | x |
| 89.7% | 3 | y |
| 92.0% | 4 | z |
| 98.7% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 98.7% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
Compiled 42 to 31 computations (26.2% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))) |
2 calls:
| 3.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 98.5% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
3 calls:
| 53.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 3.0ms | z |
| 3.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.1% | 3 | z |
| 71.7% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 71.7% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
Compiled 34 to 25 computations (26.5% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) |
3 calls:
| 3.0ms | y |
| 3.0ms | z |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 3 | x |
| 71.7% | 1 | y |
| 71.7% | 1 | z |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) |
5 calls:
| 22.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.8% | 3 | y |
| 70.5% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 70.5% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 60.9% | 4 | z |
| 56.3% | 4 | x |
Compiled 42 to 31 computations (26.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
5 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 1.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.0% | 1 | x |
| 36.0% | 1 | z |
| 36.0% | 1 | y |
| 36.0% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 36.0% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
Compiled 42 to 31 computations (26.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000706930731052 | 55693.90754315027 |
| 0.0ms | -13511.261094719106 | -155.1053986616052 |
Compiled 19 to 18 computations (5.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000706930731052 | 55693.90754315027 |
| 0.0ms | -13511.261094719106 | -155.1053986616052 |
Compiled 19 to 18 computations (5.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 377006.3507689372 | 941278.9548628015 |
| 12.0ms | -4.4847518969355765e-8 | -2.0546300871529066e-12 |
| 24.0ms | 208× | 0 | valid |
Compiled 305 to 226 computations (25.9% saved)
ival-add: 14.0ms (73.7% of total)ival-mult: 3.0ms (15.8% of total)ival-sub: 1.0ms (5.3% of total)ival-div: 1.0ms (5.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 78.0ms | 1.4713818788170835e+109 | 2.3714563967632272e+110 |
| 14.0ms | -4.961706692039186e+136 | -3.387875635018114e+128 |
| 82.0ms | 256× | 0 | valid |
Compiled 355 to 258 computations (27.3% saved)
ival-sub: 68.0ms (89.9% of total)ival-mult: 3.0ms (4% of total)ival-div: 2.0ms (2.6% of total)ival-add: 2.0ms (2.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000706930731052 | 55693.90754315027 |
| 0.0ms | -7.659998997898632 | 0.9743093270717598 |
Compiled 19 to 18 computations (5.3% saved)
| 1× | egg-herbie |
| 10× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 432 |
| 1 | 76 | 432 |
| 2 | 81 | 432 |
| 3 | 83 | 432 |
| 4 | 84 | 432 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))))) |
(if (<=.f64 z #s(literal -2568967366681087/75557863725914323419136 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (if (<=.f64 z #s(literal 900000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -10200000000000000127112822203894104538366034830625583410684280625086726687499559353026679847047103441689834009748993412312009260662784 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) (if (<=.f64 x #s(literal 174999999999999995780939955913739761463114699410141378380920153916274409375947022649158334448051515768709316608 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -5 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64)))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64)))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))))) |
(if (<=.f64 z #s(literal -2568967366681087/75557863725914323419136 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) (if (<=.f64 z #s(literal 900000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -10200000000000000127112822203894104538366034830625583410684280625086726687499559353026679847047103441689834009748993412312009260662784 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))) (if (<=.f64 x #s(literal 174999999999999995780939955913739761463114699410141378380920153916274409375947022649158334448051515768709316608 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 #s(literal 1/4 binary64) y))))) |
(if (<=.f64 x #s(literal -10200000000000000127112822203894104538366034830625583410684280625086726687499559353026679847047103441689834009748993412312009260662784 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 y #s(literal 1/4 binary64)))) (if (<=.f64 x #s(literal 174999999999999995780939955913739761463114699410141378380920153916274409375947022649158334448051515768709316608 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 x (*.f64 y #s(literal 1/4 binary64)))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -5 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
| 16 484× | lower-fma.f64 |
| 16 484× | lower-fma.f32 |
| 5 518× | lower-*.f32 |
| 5 516× | lower-*.f64 |
| 5 278× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 143 |
| 0 | 43 | 139 |
| 1 | 211 | 139 |
| 2 | 1708 | 133 |
| 0 | 8319 | 133 |
| 0 | 22 | 90 |
| 0 | 28 | 90 |
| 1 | 161 | 90 |
| 2 | 1297 | 90 |
| 0 | 8347 | 83 |
| 0 | 120 | 1280 |
| 1 | 360 | 1259 |
| 2 | 961 | 1020 |
| 3 | 3605 | 976 |
| 0 | 8398 | 865 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 304 to 117 computations (61.5% saved)
Compiled 460 to 118 computations (74.3% saved)
Loading profile data...